{"as_of":"2026-08-13T00:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b65dadf262370a94ed5e658e5b94493b064de1a5ebc8698ab543ee34b6ed08a1","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:36:12.672219Z","state":"measured"},{"denominator":44,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":44,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.13439/citation-record","integrity":"/paper/2411.13439/integrity","json":"/paper/2411.13439/citation-record.json","paper":"/paper/2411.13439"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.495204Z","title":"Alhevaz, M","venue":null,"work_id":"990971e9-660a-4ee7-abf1-875717e8da79","year":2017},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.459941Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:7eb29bedfb6cf0aa0b0c3ac290a7c625f72f2cc90e56e929dbf3a5ae5057b46d","observation_id":"b58a7980-df8e-449a-8380-2f443efa1ed3","resolution":{"observed_at":"2026-08-12T16:36:13.500337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.479634Z","title":"An and B","venue":null,"work_id":"f4ffec41-d2d4-4e69-aa07-ccf673c10dc0","year":2008},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.466151Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:094e168e6392d321fae255f31766136ad831203eecba2314ad71bf857d773019","observation_id":"46faa954-1762-485d-b277-ea1283f43586","resolution":{"observed_at":"2026-08-12T16:36:13.484532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.462382Z","title":"Andriantiana, V","venue":null,"work_id":"9e64e583-1949-4766-bbf1-23fd9d6516b6","year":2021},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.471336Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:d47d7d0ffe2a39d9b5aa8e56018735fa2adcbe968c3d3c111aa4947d9d7ac8b9","observation_id":"c27157fd-53bc-4b45-a7e1-352134a190a4","resolution":{"observed_at":"2026-08-12T16:36:13.467473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.446329Z","title":null,"venue":null,"work_id":"006a4042-7097-4b42-9abd-b0e55d25749b","year":2023},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.476149Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:261c4a2e1ce04ae6dce25043438cf70e9e5c13bd9e5636c131cf0762ad577b82","observation_id":"020610c6-f875-4001-b41b-b6dde3f8cf24","resolution":{"observed_at":"2026-08-12T16:36:13.451375Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.428818Z","title":"Beineke, R.E","venue":null,"work_id":"20e1abd6-6f58-40ef-b109-3bd7fb6f60ea","year":1969},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.481850Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:494fb172ba377375eda297ec00fdd1168829bb74770e16b6163a9dc0dd0c3a7d","observation_id":"1454def1-a494-44e5-beb1-65c4096b0c6f","resolution":{"observed_at":"2026-08-12T16:36:13.433953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.412177Z","title":"Behtoei, M","venue":null,"work_id":"d6f2161f-217e-4157-957c-a5c52cec4f5a","year":2009},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.486763Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:7b5965111406ca5dfe44d392817ce6dd6c6e2e2a4aae90d7b66d3a0e10f97c60","observation_id":"59bf28c7-85d1-4ff5-b9a1-6efbe2957fdc","resolution":{"observed_at":"2026-08-12T16:36:13.417430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.394950Z","title":"Bickle, Structural results on maximal k-degenerate graphs","venue":null,"work_id":"fcc6cd68-79cc-47de-ae09-236c9be597a5","year":2012},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.492679Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:754291522b4badc65fc7f54c1e5d16e84b368bca3c9d2fd65c999a44886a0f44","observation_id":"abc5f018-1880-467b-a7bd-385fff113692","resolution":{"observed_at":"2026-08-12T16:36:13.400929Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.375986Z","title":"Bickle, Z","venue":null,"work_id":"d2794c12-8e2c-4927-9d70-259d81b0c723","year":2021},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.497765Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:4d176ca9394597a01a431517a3fbd9039026348e6fcb3bc3e7980b399951eb44","observation_id":"16a84192-e1a9-46d7-8a8d-d4298f2d34db","resolution":{"observed_at":"2026-08-12T16:36:13.380984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.357736Z","title":"Br¨ uckler, T","venue":null,"work_id":"30f9c7ba-894f-4028-bd1b-1b7165b322e5","year":2011},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.502941Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:f1694c7479ea6af64bbae1ff1fccc5bb02b3b0cd59f47a517fa5405f6a064eaa","observation_id":"7e709dc9-45d2-4dfc-a4c4-a57015d6a776","resolution":{"observed_at":"2026-08-12T16:36:13.363457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.337894Z","title":"Cambie, Five results on maximising topological indices in graphs","venue":null,"work_id":"db852875-1689-4862-8aca-3e8f335ff3a9","year":2021},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.508248Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:eada7e0e4b19d0bc7fcdd9ef78de094111a6c14f3378163fa982544927bcccfc","observation_id":"8f6f7128-4ae2-46d5-ba7d-ffd70da34a77","resolution":{"observed_at":"2026-08-12T16:36:13.344323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.317685Z","title":"Casablanca, P","venue":null,"work_id":"3a897dc1-5432-45eb-aad0-253c3e967c77","year":2019},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.512965Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:851aea17a041f70338521d2361e22aca33e56e6b88a612b2030db315c5ffda3c","observation_id":"1af7f45e-b7e0-4070-854a-4ee60ba0be4c","resolution":{"observed_at":"2026-08-12T16:36:13.322782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.301618Z","title":"Dankelmann, S","venue":null,"work_id":"039c4e1d-a246-4e4c-ad3f-c159fc019281","year":2009},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.517899Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:a826ec5936a814fd0f155de3fd7844547120341da4d0a2dc16cbf8b2e7dbe76c","observation_id":"d311cdef-bb09-427a-ab81-ba350d843f66","resolution":{"observed_at":"2026-08-12T16:36:13.306960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.283685Z","title":"Dankelmann, A.A.V","venue":null,"work_id":"0c4af061-7bf6-4de6-b49b-b9a25768eece","year":2021},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.522684Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:5319d326fb0f823e40b36934c5b7036849d071877b6b16c2f948756d85611b23","observation_id":"8cce7814-4e47-474c-a33a-9f7180e9783c","resolution":{"observed_at":"2026-08-12T16:36:13.289282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.265097Z","title":null,"venue":null,"work_id":"927fe605-32f6-4e2f-bfff-055f94089935","year":2009},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.527599Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:45b18ae38452adff378a1ca98fa010a9aa88ff6fee056aaafcdacb6a85077e35","observation_id":"cd187a82-d371-48c9-bfb7-764e6c6a58f8","resolution":{"observed_at":"2026-08-12T16:36:13.270316Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.239186Z","title":null,"venue":null,"work_id":"401ca5e8-6e0b-4a76-828a-bc5c391176a0","year":2017},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.532273Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:4407b66e9ac7288eadeba9eba39f2c38de1cbb135ca31c46a317b471b296efc9","observation_id":"013cdf60-f99a-4933-883a-d98d594d7839","resolution":{"observed_at":"2026-08-12T16:36:13.246638Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.219733Z","title":"Favaron, M","venue":null,"work_id":"5a9198b6-068e-427e-8d8f-46a3e7320b78","year":1989},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.536869Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:a8dd47cbb95b517411927b5258859717271b2939efbb011cb63aabb2aa94f3cc","observation_id":"2f2fb880-2a03-445b-a270-e9a25a369a97","resolution":{"observed_at":"2026-08-12T16:36:13.225312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.202181Z","title":null,"venue":null,"work_id":"f2e8048d-ad20-487c-9645-e019ac78e640","year":2012},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.541821Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:0207c741127560a56129b5e03fa14af32168cb8bc77e23c3a7c06f2e6144c24b","observation_id":"4a750511-9552-4066-a1fe-bbc370c28c72","resolution":{"observed_at":"2026-08-12T16:36:13.207357Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.185338Z","title":null,"venue":null,"work_id":"9ea7e738-4e2f-42af-80bd-efbcc229f415","year":2017},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.546358Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:9bb8dfd10cd3251f087bd8b57b60c48869ec7e14b72f98d7eb2dfd72de0d4191","observation_id":"688f596a-780a-4444-aacd-29049f8b7f73","resolution":{"observed_at":"2026-08-12T16:36:13.190938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.167623Z","title":"Furtula, I","venue":null,"work_id":"cfcdc478-d584-4723-9999-4b44054431b3","year":2013},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.551068Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:b703880cce33fa70e5e21cfe0b0ff2d38ecaf222197fd51f0b376969e628b07f","observation_id":"df3e3f42-9fd9-441e-aaee-2f8c681185ba","resolution":{"observed_at":"2026-08-12T16:36:13.172927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.147756Z","title":"Furtula, Odd vertex degree trees maximizing Wiener index","venue":null,"work_id":"71eac06c-62f0-498a-9f5c-ac22181d0b82","year":2013},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.555740Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:790b7f74606f74950be24be4df3d470bf494e6e71aa3dc307df01b5d1be805d5","observation_id":"17a811fb-6e3f-42c0-9a92-0aae1064529c","resolution":{"observed_at":"2026-08-12T16:36:13.156093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.130555Z","title":"Gutman, A.A","venue":null,"work_id":"e6c8aed6-5881-4252-8f59-2d1897d99db7","year":2004},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.561502Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:9977c71b6d5a24f243e5dacccfac2f278faa4dc39e7acc938e94e50c41836472","observation_id":"57346699-0154-4dec-af9d-5f788facacfd","resolution":{"observed_at":"2026-08-12T16:36:13.135928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.109831Z","title":"Hamzeh, S","venue":null,"work_id":"a3298a89-6cfc-4f6c-8dc1-6849d8689e82","year":2013},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.566340Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:707c996ab5a1e28d821256943354ca3f0f4d5b34d299a7e581ddd40d050b7bb2","observation_id":"04c3283a-158b-4b15-b4ce-897b511889a3","resolution":{"observed_at":"2026-08-12T16:36:13.115769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.092239Z","title":"Hamzeh, S","venue":null,"work_id":"3274a6d9-ba40-455b-9394-f1c7fb87ac4d","year":2009},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.571485Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:7530a879326a89db3ab4e4e53cde4abf1a216e8c813ed682d5c6dc0660853f88","observation_id":"cce1844f-a8d9-4504-9ce4-55e773c1f68b","resolution":{"observed_at":"2026-08-12T16:36:13.098044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.073408Z","title":"Hri˘ n´ akov´ a, M","venue":null,"work_id":"0330f667-78ed-431c-ae2d-770880fa0f54","year":2019},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.576039Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:1319bdee27ade36baf3e9b885c8bd84bfb67ea593799f9598a535d919f2925ba","observation_id":"602ad4df-b0de-4ea1-9001-c897ee59bfd2","resolution":{"observed_at":"2026-08-12T16:36:13.079215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.054435Z","title":null,"venue":null,"work_id":"cdd966f3-ebca-4444-b966-b81406a3fb86","year":2024},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.581138Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:62461bb2800e9e8541ded3ad33a8e098da899b9ef78d969918d86d3d20bdf4b2","observation_id":"6b0ed446-5cf4-431c-bdbe-8c1d6b1d32ab","resolution":{"observed_at":"2026-08-12T16:36:13.060799Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.036296Z","title":"Klav˘ zar, I","venue":null,"work_id":"4aa4be13-605e-4ce4-9928-0b296836c34a","year":2006},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.586075Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:4c46485365de2a5b573753c5ab59dcc323a9baee582d390e507cb00968da702d","observation_id":"3d37bb8e-fb55-4794-b09f-c41200b1d180","resolution":{"observed_at":"2026-08-12T16:36:13.042624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:13.018093Z","title":"Klein, I","venue":null,"work_id":"73120477-b382-4c8d-a78d-6a009dd640f9","year":1999},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.590802Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:2b3e98267314232a103f087f9c7cd34502e31c90d47936154396ce350ee025f1","observation_id":"75cc403e-5b23-4021-b0d1-592971c1f940","resolution":{"observed_at":"2026-08-12T16:36:13.023162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.998790Z","title":"Kuang, G","venue":null,"work_id":"7dc7a5b8-0e09-4c44-95f3-52d8d6dee248","year":2016},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.595316Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:38e6129c29fbe9441410a992e83ea2f1c5a51855ac10c7beb26f836dd30b9db6","observation_id":"848e5fcc-effa-494f-9625-5e0f319e39aa","resolution":{"observed_at":"2026-08-12T16:36:13.004776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.980957Z","title":"Li, Y.-Z","venue":null,"work_id":"92fbb9d7-0782-448d-a635-e80d16a70cee","year":2015},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.600495Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:9c315b208ca92d907c42924c44f8266a31688a72ee57cc065b76860f8f2e5371","observation_id":"efb0a428-5a5a-4958-8554-1022c9357df3","resolution":{"observed_at":"2026-08-12T16:36:12.986490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.962169Z","title":"Lick, A.T","venue":null,"work_id":"a036c18d-1440-4c6b-a4d3-55ee13cf6a9e","year":1970},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.605712Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:4512220c80b2ab6e20d4652876ce38bbc57c04230397bc3c7c88510500e425a4","observation_id":"4b525369-496c-4f51-a24b-58a3e1f0d99d","resolution":{"observed_at":"2026-08-12T16:36:12.967762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.943827Z","title":"Lin, Extremal Wiener index of trees with all degrees odd","venue":null,"work_id":"8132fc5c-b30f-4881-8916-2d66cd56219d","year":2013},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.610538Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:ff72a6b2731819e59ac95f070ccf92f71146b0388e8432fb76a26e75674f53cd","observation_id":"79a1a4a6-4803-4435-bbc6-ccc4315d86d0","resolution":{"observed_at":"2026-08-12T16:36:12.949796Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.922660Z","title":"Liu, K.Ch","venue":null,"work_id":"6901c41f-cd76-430b-b7f7-bb5c8c1cdf66","year":2018},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.614954Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:fce7c5a6c0d8f60694cc21acfaa4440712355ad5d5a6e495ce129f0e4ab54fef","observation_id":"6bd37aa8-33d3-46a9-adbe-b30532c64bec","resolution":{"observed_at":"2026-08-12T16:36:12.930229Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.05539","last_updated":"2022-01-14T16:19:01Z","snapshot_observed_at":"2026-07-06T12:27:25.910874Z","submitted_at":"2022-01-14T16:19:01Z","title":"Upper and Lower Bounds for Generalized Wiener Indices on unicyclic graphs","version":1},"cited_work":{"arxiv_id":"2201.05539","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.05539","snapshot_observed_at":"2026-08-12T16:36:12.711854Z","title":"Upper and Lower Bounds for Generalized Wiener Indices on unicyclic graphs","venue":"math.CO","work_id":"f2547b1b-ae9b-48b2-b2b7-0111445d7162","year":2022},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.619653Z"},"links":{"cited_paper":"/paper/2201.05539","citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:77c7f9438cb5ff89aa4f87c285989e4e1fc4dcfd221ad94a79807a695806b456","observation_id":"91589043-638d-49de-8e5e-987fca20d855","resolution":{"observed_at":"2026-08-12T16:36:12.719581Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.905619Z","title":"Schmuck, S","venue":null,"work_id":"f60e79e9-156b-4adb-8be6-95119726f99b","year":2012},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.624985Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:9ebec18a40eb3386b0b96944df23e831e2df9099bdb343a804376a4eadec4433","observation_id":"0efb2f77-169f-49b0-97fa-c84702b2ce53","resolution":{"observed_at":"2026-08-12T16:36:12.911075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.887795Z","title":"Solt´ es, Transmission in graphs: A bound and vertex removing","venue":null,"work_id":"95ef3d7e-cdb3-4885-b1b5-36a74a79b8c9","year":1991},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.629973Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:879a0038ba79cfab342f6546521e5e311217797999bce04f92a0b520887d9ade","observation_id":"4a636b01-6b06-4cd7-a0d8-95ae855fe4e0","resolution":{"observed_at":"2026-08-12T16:36:12.893525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.870368Z","title":null,"venue":null,"work_id":"9bd738bc-d86f-4969-9ebc-6c3641de3dd3","year":2021},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.634502Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:c83e5b6ae3cbea7dc1216306463a8e074d40a02e0721c91a1053073a2d16554f","observation_id":"2f2a8eab-8299-4e37-84c1-f0bedf653aaa","resolution":{"observed_at":"2026-08-12T16:36:12.875607Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.854151Z","title":"Tomsecu, M","venue":null,"work_id":"44b1b624-b007-4554-b621-1a1e824a994e","year":2015},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.639439Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:8b1518f3841e7408f0298f2a42466ff6a53de3c716392c2fe0ca9bd9ec98ab9c","observation_id":"a7dfebc5-06b7-496d-8be9-29e466c7a315","resolution":{"observed_at":"2026-08-12T16:36:12.859194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.836138Z","title":"Tratch, M.I","venue":null,"work_id":"4fff8e67-0ea8-4f41-abc6-46613f36ab40","year":1990},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.644058Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:2c091dadc8235507c9990bbd3297342be8568c2ff45cb7fe04a944676ef0057b","observation_id":"ac179062-30ff-49db-9c2c-98c95747102e","resolution":{"observed_at":"2026-08-12T16:36:12.842027Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.819715Z","title":"Vuki˘ cevi´ c, J","venue":null,"work_id":"d3914792-30db-458e-9dcd-27fd3972f4f3","year":2018},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.649115Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:a56b8242bbd4e360b47dd91baf3f59ec9cb88d3b1dfd3733212f8225b2927105","observation_id":"a956dd47-e6ca-4861-882a-abbf61f21a8b","resolution":{"observed_at":"2026-08-12T16:36:12.824696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.799914Z","title":"Wagner, H","venue":null,"work_id":"31277b2a-81f2-4da9-b0bf-13c9066228d6","year":2013},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.653653Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:251e3455f28ade4abd15a740c331be42b89af3822818d57a058986f2e2333fce","observation_id":"65b17106-2c70-41b5-9dd8-745f661db3b6","resolution":{"observed_at":"2026-08-12T16:36:12.807140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.782392Z","title":null,"venue":null,"work_id":"a4314def-4f1c-46e8-b845-488b80eec660","year":2018},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.658251Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:767873a8ce3f090d5a79eb87ebde2475ff55a12037aad363f73bfeb1333b7781","observation_id":"907cc64f-b09b-4c91-bea7-f7221b4e78a0","resolution":{"observed_at":"2026-08-12T16:36:12.787750Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.766132Z","title":null,"venue":null,"work_id":"939cbaf2-47b3-4639-b5a3-e32d002f24bb","year":2019},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.663000Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:90161f5315c9b73a2f1699a891ec40d4576831505f9b607e2cccfd538179f973","observation_id":"45a1be01-b500-48cf-adc2-367739469078","resolution":{"observed_at":"2026-08-12T16:36:12.770989Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.749166Z","title":null,"venue":null,"work_id":"b2c291b3-a3ad-4144-b804-4efa4e6fbe14","year":2011},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.667777Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:fa198e5b14ac8167296add83a5a1adb695a4dbaf1a920b53ccc0d1b19dbe75e5","observation_id":"8ac9e98c-22be-45a4-a7b5-48420cb2515a","resolution":{"observed_at":"2026-08-12T16:36:12.754512Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:36:12.731654Z","title":"Xu, K.Ch","venue":null,"work_id":"d017e46f-75f9-4deb-a9f9-343194d592b3","year":2015},"citing_paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T16:36:12.672219Z"},"links":{"citing_paper":"/paper/2411.13439"},"observation_digest":"sha256:9f5ef24179abd4ace8fbde3e4fb8f0e9a7b77a2a369c0547ce3e4b500a76a366","observation_id":"32899ca6-a859-4dbf-9446-1c8cb058dcc5","resolution":{"observed_at":"2026-08-12T16:36:12.736729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.13439","last_updated":"2024-11-20T16:29:37Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T16:22:02.193266Z","submitted_at":"2024-11-20T16:29:37Z","title":"Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":10,"verified_exact":0,"verified_fuzzy":33},"total_outbound_references":44},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2411.13439."}