{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:AFEAXWH2HEJA73SDGI5D5VMPEE","short_pith_number":"pith:AFEAXWH2","canonical_record":{"source":{"id":"1905.04299","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-10T07:45:17Z","cross_cats_sorted":[],"title_canon_sha256":"e3093221aba7056ccc5ed886f42da4f6cf9197af8724789339e4d20ef1824e40","abstract_canon_sha256":"29e1140fccad63d0b520ec206a7fa2e6cdac3403049f14f52e8ae70340836857"},"schema_version":"1.0"},"canonical_sha256":"01480bd8fa39120fee43323a3ed58f210b6086fd4b283e4ffeffbfa4fc99d29e","source":{"kind":"arxiv","id":"1905.04299","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04299","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04299v3","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04299","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"pith_short_12","alias_value":"AFEAXWH2HEJA","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"pith_short_16","alias_value":"AFEAXWH2HEJA73SD","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"pith_short_8","alias_value":"AFEAXWH2","created_at":"2026-07-05T00:21:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:AFEAXWH2HEJA73SDGI5D5VMPEE","target":"record","payload":{"canonical_record":{"source":{"id":"1905.04299","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-10T07:45:17Z","cross_cats_sorted":[],"title_canon_sha256":"e3093221aba7056ccc5ed886f42da4f6cf9197af8724789339e4d20ef1824e40","abstract_canon_sha256":"29e1140fccad63d0b520ec206a7fa2e6cdac3403049f14f52e8ae70340836857"},"schema_version":"1.0"},"canonical_sha256":"01480bd8fa39120fee43323a3ed58f210b6086fd4b283e4ffeffbfa4fc99d29e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:21:34.370256Z","signature_b64":"fHdSN/P4AoW75LP1GCMHCY43Mcjh25CP+0dJB26E9Qe88SpqSjrwzmZTUTAq5r+URYvrQSf8MIAZO7YprgXcBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01480bd8fa39120fee43323a3ed58f210b6086fd4b283e4ffeffbfa4fc99d29e","last_reissued_at":"2026-07-05T00:21:34.369756Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:21:34.369756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.04299","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:21:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VSg+tvlolGUK978dDAn1uslVDOOkjrR1RJpQ0jlcQ4R5WnMYCQeGeLhL7fzTP/jfcBlFEqp5aEiSgoiIQmvdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:42:13.955174Z"},"content_sha256":"6516b0ef30554c0fba7301a3be18ea0b32fd6fa213e10223729d220f3ee6cf5e","schema_version":"1.0","event_id":"sha256:6516b0ef30554c0fba7301a3be18ea0b32fd6fa213e10223729d220f3ee6cf5e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:AFEAXWH2HEJA73SDGI5D5VMPEE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diagnosing Tsallis Holographic Dark Energy models with interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dong-Fang Xu, Jia-Nan Chi, Nan Zhang, Ya-Bo Wu, Zhe Yu","submitted_at":"2019-05-10T07:45:17Z","abstract_excerpt":"It has been found that the geometrical diagnostic methods can break the degeneracy for dark energy models. In this paper, we investigate the $Om$ diagnostic, the statefinder hierarchy $S_{n}$ and the composite null diagnostic $\\{S_{n},\\epsilon\\}$ for the Tsallis holographic dark energy models with interactions. We find that model parameters and the forms of interaction will influence the values of diagnostic parameters or the trends of the evolutionary trajectories for each model. Moreover, the statefinder hierarchy $S_{3}^{(1)}$ together with $\\{S_{3}^{(1)},\\epsilon\\}$ could give good diagnos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04299","kind":"arxiv","version":3},"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/1905.04299/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":"2026-07-05T00:21:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OBb7V56ELRxGIsD9F1v3Rj70+xe5vdBuAq7QEKYbPdmjBS+IhD3AoHHU+aaMTSlyq5QV70I8Y5nL9+wydbhLDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:42:13.955558Z"},"content_sha256":"3e7988fd48b48e02b140f1b4391c825f38ec5cf2e0dcada93c48deb38e9718d3","schema_version":"1.0","event_id":"sha256:3e7988fd48b48e02b140f1b4391c825f38ec5cf2e0dcada93c48deb38e9718d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AFEAXWH2HEJA73SDGI5D5VMPEE/bundle.json","state_url":"https://pith.science/pith/AFEAXWH2HEJA73SDGI5D5VMPEE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AFEAXWH2HEJA73SDGI5D5VMPEE/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":"2026-07-05T05:42:13Z","links":{"resolver":"https://pith.science/pith/AFEAXWH2HEJA73SDGI5D5VMPEE","bundle":"https://pith.science/pith/AFEAXWH2HEJA73SDGI5D5VMPEE/bundle.json","state":"https://pith.science/pith/AFEAXWH2HEJA73SDGI5D5VMPEE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AFEAXWH2HEJA73SDGI5D5VMPEE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AFEAXWH2HEJA73SDGI5D5VMPEE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"29e1140fccad63d0b520ec206a7fa2e6cdac3403049f14f52e8ae70340836857","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-10T07:45:17Z","title_canon_sha256":"e3093221aba7056ccc5ed886f42da4f6cf9197af8724789339e4d20ef1824e40"},"schema_version":"1.0","source":{"id":"1905.04299","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04299","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04299v3","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04299","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"pith_short_12","alias_value":"AFEAXWH2HEJA","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"pith_short_16","alias_value":"AFEAXWH2HEJA73SD","created_at":"2026-07-05T00:21:34Z"},{"alias_kind":"pith_short_8","alias_value":"AFEAXWH2","created_at":"2026-07-05T00:21:34Z"}],"graph_snapshots":[{"event_id":"sha256:3e7988fd48b48e02b140f1b4391c825f38ec5cf2e0dcada93c48deb38e9718d3","target":"graph","created_at":"2026-07-05T00:21:34Z","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/1905.04299/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It has been found that the geometrical diagnostic methods can break the degeneracy for dark energy models. In this paper, we investigate the $Om$ diagnostic, the statefinder hierarchy $S_{n}$ and the composite null diagnostic $\\{S_{n},\\epsilon\\}$ for the Tsallis holographic dark energy models with interactions. We find that model parameters and the forms of interaction will influence the values of diagnostic parameters or the trends of the evolutionary trajectories for each model. Moreover, the statefinder hierarchy $S_{3}^{(1)}$ together with $\\{S_{3}^{(1)},\\epsilon\\}$ could give good diagnos","authors_text":"Dong-Fang Xu, Jia-Nan Chi, Nan Zhang, Ya-Bo Wu, Zhe Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-10T07:45:17Z","title":"Diagnosing Tsallis Holographic Dark Energy models with interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04299","kind":"arxiv","version":3},"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":"sha256:6516b0ef30554c0fba7301a3be18ea0b32fd6fa213e10223729d220f3ee6cf5e","target":"record","created_at":"2026-07-05T00:21:34Z","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":"29e1140fccad63d0b520ec206a7fa2e6cdac3403049f14f52e8ae70340836857","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-10T07:45:17Z","title_canon_sha256":"e3093221aba7056ccc5ed886f42da4f6cf9197af8724789339e4d20ef1824e40"},"schema_version":"1.0","source":{"id":"1905.04299","kind":"arxiv","version":3}},"canonical_sha256":"01480bd8fa39120fee43323a3ed58f210b6086fd4b283e4ffeffbfa4fc99d29e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01480bd8fa39120fee43323a3ed58f210b6086fd4b283e4ffeffbfa4fc99d29e","first_computed_at":"2026-07-05T00:21:34.369756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:21:34.369756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fHdSN/P4AoW75LP1GCMHCY43Mcjh25CP+0dJB26E9Qe88SpqSjrwzmZTUTAq5r+URYvrQSf8MIAZO7YprgXcBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:21:34.370256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.04299","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6516b0ef30554c0fba7301a3be18ea0b32fd6fa213e10223729d220f3ee6cf5e","sha256:3e7988fd48b48e02b140f1b4391c825f38ec5cf2e0dcada93c48deb38e9718d3"],"state_sha256":"fbf7b22747d72accadce14c4ce5d75414f2feabf315c2718dd2fb9d2d9de5369"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UKwHgbLHcOxh9Skx/+f21lxcWDQ7feQcSM2jzZRIGYTfq7pIXLh58IyvcV6EHea3lgvTSClpSj+p7Z0t0w8EBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T05:42:13.957484Z","bundle_sha256":"6aef60a673828a4a4afea547de3cc42cbb079cbf55f0b6b06a7ad5de4eabac62"}}