{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:B3IKYPFQAGTQ4E67DFNZZ5KNMV","short_pith_number":"pith:B3IKYPFQ","canonical_record":{"source":{"id":"2607.05710","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-07-07T00:32:48Z","cross_cats_sorted":[],"title_canon_sha256":"45238f675959e45276c8dbdb143e79427bcba1d76494e117b1d5c2af7124145f","abstract_canon_sha256":"213b1aad588828d3e3d5cd6916939b9645d677c2cf3d2303c93a30411b730dad"},"schema_version":"1.0"},"canonical_sha256":"0ed0ac3cb001a70e13df195b9cf54d655626c10417e96e097b2b23e6f35bea42","source":{"kind":"arxiv","id":"2607.05710","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.05710","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"2607.05710v1","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.05710","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"B3IKYPFQAGTQ","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"B3IKYPFQAGTQ4E67","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"B3IKYPFQ","created_at":"2026-07-08T01:18:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:B3IKYPFQAGTQ4E67DFNZZ5KNMV","target":"record","payload":{"canonical_record":{"source":{"id":"2607.05710","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-07-07T00:32:48Z","cross_cats_sorted":[],"title_canon_sha256":"45238f675959e45276c8dbdb143e79427bcba1d76494e117b1d5c2af7124145f","abstract_canon_sha256":"213b1aad588828d3e3d5cd6916939b9645d677c2cf3d2303c93a30411b730dad"},"schema_version":"1.0"},"canonical_sha256":"0ed0ac3cb001a70e13df195b9cf54d655626c10417e96e097b2b23e6f35bea42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-08T01:18:42.111683Z","signature_b64":"4lFjUslxRHKMpkgaWoJdvM/5C8edwPYBfouTWVvJXTEXNSJ9QNPXOep01NSTCueKKHKqtGywM761BXBYoUkoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ed0ac3cb001a70e13df195b9cf54d655626c10417e96e097b2b23e6f35bea42","last_reissued_at":"2026-07-08T01:18:42.111213Z","signature_status":"signed_v1","first_computed_at":"2026-07-08T01:18:42.111213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.05710","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-08T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"58LLqKWzMR6Ey6RurUBU1CltFsQPVsVt8x4/r/iPI8z3n9qKYjZRFMDMMmY8OroC3JFFXbN0rJLf7jLa/uKvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:35:44.571049Z"},"content_sha256":"2c92c622cffd767cb6c63274b77a86bffd085f877fbbabea657f019f5eda02b7","schema_version":"1.0","event_id":"sha256:2c92c622cffd767cb6c63274b77a86bffd085f877fbbabea657f019f5eda02b7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:B3IKYPFQAGTQ4E67DFNZZ5KNMV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Visualizing Local Maxima of the Ohio overdose epidemic with Vineyards","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"David White, Nathan Willey, Nicholas Bermingham","submitted_at":"2026-07-07T00:32:48Z","abstract_excerpt":"Understanding how spatial patterns evolve over time is a complex task that often arises in the analysis of public health data. In this work, we investigate the use of vineyards from topological data analysis (TDA) in this setting by applying them to time series data related to the overdose epidemic in the state of Ohio. We begin by proposing statistical tests that can be used in order to evaluate whether vineyards are a reasonable technique to study a spatiotemporal dataset. We then apply these tests to the data of drug overdose deaths in Ohio and, finding the data suitable, perform a subseque"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05710","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.05710/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-08T01:18:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ueb68JTaicGd+hvBVzszbRjfxOmlOYoFvgkaslU8Kkal7anREKYT0jqWbjsyRqGK+MrBwsBrbkFNaSQxTPGjAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:35:44.583529Z"},"content_sha256":"cdc876a0d80c560d2e99590dd0a2a9d5a7ffbdd31f5d16ec8c0d9d07009329bc","schema_version":"1.0","event_id":"sha256:cdc876a0d80c560d2e99590dd0a2a9d5a7ffbdd31f5d16ec8c0d9d07009329bc"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:B3IKYPFQAGTQ4E67DFNZZ5KNMV","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1093/imaiai/iau0113) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"K. Turner, S. Mukherjee, and D. M. Boyer. Persistent homology trans- form for modeling shapes and surfaces.Information and Inference: A Journal of the IMA, 3(4):310–344, 12 2014. doi: 10.1093/imaiai/ iau011 3","arxiv_id":"2607.05710","detector":"doi_compliance","evidence":{"ref_index":61,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"K. Turner, S. Mukherjee, and D. M. Boyer. Persistent homology trans- form for modeling shapes and surfaces.Information and Inference: A Journal of the IMA, 3(4):310–344, 12 2014. doi: 10.1093/imaiai/ iau011 3","reconstructed_doi":"10.1093/imaiai/iau0113"},"severity":"advisory","ref_index":61,"audited_at":"2026-07-09T07:58:39.978471Z","event_type":"pith.integrity.v1","detected_doi":"10.1093/imaiai/iau0113","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"0d10c6bbf693650bc8949cd9bb72ee561719def1550505a857891fc3e99ab288","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":7871,"payload_sha256":"52b8fc838c14e80ece6da6dfd5ccfe929c91920cc38e459270046a685dbb5522","signature_b64":"4tKgFNDzkZgDBj8gH8JHyMh5r2n7IMx4LDYNq/NzD/OAm1A4uBoB0S96C1kIHWhgM/xpdMQAKfY4zKLaYkIPDA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-09T08:02:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OIsvfUUmvMascxwtzsKQSdZKA9gm3LFZEoPSrfmbzN1JTw3INoqSNJ+pX/0pPhihE0/qd+r2nNzWvk61UyXvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:35:44.603740Z"},"content_sha256":"9e6b948595b1f6a4e9841e190feac3db921f8bd88c06b996305bae3fef64b058","schema_version":"1.0","event_id":"sha256:9e6b948595b1f6a4e9841e190feac3db921f8bd88c06b996305bae3fef64b058"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:B3IKYPFQAGTQ4E67DFNZZ5KNMV","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1016/j.drugalcdep.2024.1117052) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"A. D. Mullen, P. Rock, D. Harris, S. Slavova, J. Talbert, and V . K. C. Bumgardner. Forecasting opioid overdose incidents for rapid action- able data for opioid response in Kentucky (RADOR-KY).Drug and Alcohol Dependence, 267:111705, 2025. ","arxiv_id":"2607.05710","detector":"doi_compliance","evidence":{"ref_index":46,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"A. D. Mullen, P. Rock, D. Harris, S. Slavova, J. Talbert, and V . K. C. Bumgardner. Forecasting opioid overdose incidents for rapid action- able data for opioid response in Kentucky (RADOR-KY).Drug and Alcohol Dependence, 267:111705, 2025. ","reconstructed_doi":"10.1016/j.drugalcdep.2024.1117052"},"severity":"advisory","ref_index":46,"audited_at":"2026-07-09T07:58:39.978471Z","event_type":"pith.integrity.v1","detected_doi":"10.1016/j.drugalcdep.2024.1117052","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"995646c7357eaa736258180433bee30619a5dd556f547b6b88e12fa75e53ac8b","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":7870,"payload_sha256":"a8b467e0cd5d305234082ba387d5984b034c0d9c4140e70800de6b661b03679a","signature_b64":"o33DDAQoHzxBalUuTTmMBZqOwycZt1RzelaRkNQxknzH7rYr9940xRSgsCO3VVD0Nh43L3Ls3lb2PhGXaiIQAQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-09T08:02:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UCQ1/elHh1/yppZAX4Dmg9ecx39sqXnbg+g/BdHJDnIjMfcmQCIYZs///Mdj18hDg4XrUNGoWyzLcZR85x6RAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:35:44.604173Z"},"content_sha256":"6b144b84459c226c212e2f6620ac96e4825fe3cb9428215e4a817ab672faeb9b","schema_version":"1.0","event_id":"sha256:6b144b84459c226c212e2f6620ac96e4825fe3cb9428215e4a817ab672faeb9b"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:B3IKYPFQAGTQ4E67DFNZZ5KNMV","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1093/jrsssc/qlad0244) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"C. Moon and N. A. Lazar. Hypothesis testing for shapes using vector- ized persistence diagrams.Journal of the Royal Statistical Society Se- ries C: Applied Statistics, 72(3):628–648, 2023. doi: 10.1093/jrsssc/ qlad024 4","arxiv_id":"2607.05710","detector":"doi_compliance","evidence":{"ref_index":45,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"C. Moon and N. A. Lazar. Hypothesis testing for shapes using vector- ized persistence diagrams.Journal of the Royal Statistical Society Se- ries C: Applied Statistics, 72(3):628–648, 2023. doi: 10.1093/jrsssc/ qlad024 4","reconstructed_doi":"10.1093/jrsssc/qlad0244"},"severity":"advisory","ref_index":45,"audited_at":"2026-07-09T07:58:39.978471Z","event_type":"pith.integrity.v1","detected_doi":"10.1093/jrsssc/qlad0244","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"abbd6f5d2407659ad4a7481848bacd7cd9c572c0814d742613105734aa4be127","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":7869,"payload_sha256":"4b15544f9720e430f5a69fd12311c43166a568f143a932079f3e91fa0ba6068f","signature_b64":"NwV849LJkM00c+fs2f3+cSpOCHBzT5SeNiAovKrxjOPvxXVI2CcjgkDLpQHZ7BEvdTCeDWQGWOSNoN8yLCD0BQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-09T08:02:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dB0EbPpwklnpaNi98YzRFj98D0aNSDj4AoUhQc/aFQfN1Ad/a8C6j876RWdd/SOEMIZOVfEoPQjfBGpjWL6jBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:35:44.604555Z"},"content_sha256":"ef656db76083a9fd1b9d1b3e9ce2e1c5135473dd99f7185b7ffb51d042fd955c","schema_version":"1.0","event_id":"sha256:ef656db76083a9fd1b9d1b3e9ce2e1c5135473dd99f7185b7ffb51d042fd955c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3IKYPFQAGTQ4E67DFNZZ5KNMV/bundle.json","state_url":"https://pith.science/pith/B3IKYPFQAGTQ4E67DFNZZ5KNMV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3IKYPFQAGTQ4E67DFNZZ5KNMV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-11T02:35:44Z","links":{"resolver":"https://pith.science/pith/B3IKYPFQAGTQ4E67DFNZZ5KNMV","bundle":"https://pith.science/pith/B3IKYPFQAGTQ4E67DFNZZ5KNMV/bundle.json","state":"https://pith.science/pith/B3IKYPFQAGTQ4E67DFNZZ5KNMV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3IKYPFQAGTQ4E67DFNZZ5KNMV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:B3IKYPFQAGTQ4E67DFNZZ5KNMV","merge_version":"pith-open-graph-merge-v1","event_count":5,"valid_event_count":5,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"213b1aad588828d3e3d5cd6916939b9645d677c2cf3d2303c93a30411b730dad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-07-07T00:32:48Z","title_canon_sha256":"45238f675959e45276c8dbdb143e79427bcba1d76494e117b1d5c2af7124145f"},"schema_version":"1.0","source":{"id":"2607.05710","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.05710","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"arxiv_version","alias_value":"2607.05710v1","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.05710","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"pith_short_12","alias_value":"B3IKYPFQAGTQ","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"pith_short_16","alias_value":"B3IKYPFQAGTQ4E67","created_at":"2026-07-08T01:18:42Z"},{"alias_kind":"pith_short_8","alias_value":"B3IKYPFQ","created_at":"2026-07-08T01:18:42Z"}],"graph_snapshots":[{"event_id":"sha256:cdc876a0d80c560d2e99590dd0a2a9d5a7ffbdd31f5d16ec8c0d9d07009329bc","target":"graph","created_at":"2026-07-08T01:18:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.05710/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Understanding how spatial patterns evolve over time is a complex task that often arises in the analysis of public health data. In this work, we investigate the use of vineyards from topological data analysis (TDA) in this setting by applying them to time series data related to the overdose epidemic in the state of Ohio. We begin by proposing statistical tests that can be used in order to evaluate whether vineyards are a reasonable technique to study a spatiotemporal dataset. We then apply these tests to the data of drug overdose deaths in Ohio and, finding the data suitable, perform a subseque","authors_text":"David White, Nathan Willey, Nicholas Bermingham","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-07-07T00:32:48Z","title":"Visualizing Local Maxima of the Ohio overdose epidemic with Vineyards"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.05710","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2c92c622cffd767cb6c63274b77a86bffd085f877fbbabea657f019f5eda02b7","target":"record","created_at":"2026-07-08T01:18:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"213b1aad588828d3e3d5cd6916939b9645d677c2cf3d2303c93a30411b730dad","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-07-07T00:32:48Z","title_canon_sha256":"45238f675959e45276c8dbdb143e79427bcba1d76494e117b1d5c2af7124145f"},"schema_version":"1.0","source":{"id":"2607.05710","kind":"arxiv","version":1}},"canonical_sha256":"0ed0ac3cb001a70e13df195b9cf54d655626c10417e96e097b2b23e6f35bea42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ed0ac3cb001a70e13df195b9cf54d655626c10417e96e097b2b23e6f35bea42","first_computed_at":"2026-07-08T01:18:42.111213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:18:42.111213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4lFjUslxRHKMpkgaWoJdvM/5C8edwPYBfouTWVvJXTEXNSJ9QNPXOep01NSTCueKKHKqtGywM761BXBYoUkoAQ==","signature_status":"signed_v1","signed_at":"2026-07-08T01:18:42.111683Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.05710","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:6b144b84459c226c212e2f6620ac96e4825fe3cb9428215e4a817ab672faeb9b","sha256:9e6b948595b1f6a4e9841e190feac3db921f8bd88c06b996305bae3fef64b058","sha256:ef656db76083a9fd1b9d1b3e9ce2e1c5135473dd99f7185b7ffb51d042fd955c"]}],"invalid_events":[],"applied_event_ids":["sha256:2c92c622cffd767cb6c63274b77a86bffd085f877fbbabea657f019f5eda02b7","sha256:cdc876a0d80c560d2e99590dd0a2a9d5a7ffbdd31f5d16ec8c0d9d07009329bc"],"state_sha256":"9237471a03f6714608787bf9581500f5726d8b4e5a0100e50d83ddc1cb89fe20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NaxgK8c2OVTVAhcAM18ubfzX8NvumInwLh+wb2CTPNPObNVSkoghYIbay7SGIVG6Xv95Zos8SWzGSyWJeFotBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T02:35:44.611023Z","bundle_sha256":"7689d26344547bacbefcd96191845384393ab0c8fc4e3d6b696af33f042c2258"}}