{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:NMSAAWU5ZNRS4YAZGPVYVSLNAP","short_pith_number":"pith:NMSAAWU5","canonical_record":{"source":{"id":"2303.09076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-03-16T04:35:03Z","cross_cats_sorted":[],"title_canon_sha256":"38f351d37ac3345d2cc7ae98650df0e8f5e6fb8d465c48a166480ca77d844140","abstract_canon_sha256":"28499386e8bc2b0e10f8e52705a0cedaa1c0e49e5765f5160deb3778426f3f17"},"schema_version":"1.0"},"canonical_sha256":"6b24005a9dcb632e601933eb8ac96d03d98ac0a6db1f368eff5d95606f02b7b7","source":{"kind":"arxiv","id":"2303.09076","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.09076","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"2303.09076v2","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.09076","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"NMSAAWU5ZNRS","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"pith_short_16","alias_value":"NMSAAWU5ZNRS4YAZ","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"pith_short_8","alias_value":"NMSAAWU5","created_at":"2026-07-05T07:57:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:NMSAAWU5ZNRS4YAZGPVYVSLNAP","target":"record","payload":{"canonical_record":{"source":{"id":"2303.09076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-03-16T04:35:03Z","cross_cats_sorted":[],"title_canon_sha256":"38f351d37ac3345d2cc7ae98650df0e8f5e6fb8d465c48a166480ca77d844140","abstract_canon_sha256":"28499386e8bc2b0e10f8e52705a0cedaa1c0e49e5765f5160deb3778426f3f17"},"schema_version":"1.0"},"canonical_sha256":"6b24005a9dcb632e601933eb8ac96d03d98ac0a6db1f368eff5d95606f02b7b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:57:39.912918Z","signature_b64":"btvPodSC74HL2bMj8DV7NEbmjedCD8fwCAxiSGPl1fvX5+kn8D5pJ9mrpgV8IFMtQOmiNHJCTaryXvfon8WyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b24005a9dcb632e601933eb8ac96d03d98ac0a6db1f368eff5d95606f02b7b7","last_reissued_at":"2026-07-05T07:57:39.912438Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:57:39.912438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.09076","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Shr8faquohAQx7TT1YW6430QQvjR6/av5elLoQ5AbksAcVhwwqw0JaW9RDH7fiKgcPPRvT6Bjw7p/O8b5VgeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:30:47.721560Z"},"content_sha256":"b16b66bdd9099905be5ff33e88b52eef3eb1f46b76839f575aec3b967a1a78af","schema_version":"1.0","event_id":"sha256:b16b66bdd9099905be5ff33e88b52eef3eb1f46b76839f575aec3b967a1a78af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:NMSAAWU5ZNRS4YAZGPVYVSLNAP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Attractor behaviour of $f(T)$ modified gravity and the cosmic acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. Mishra, Kanika Gandhi, L.K. Duchaniya","submitted_at":"2023-03-16T04:35:03Z","abstract_excerpt":"In this paper, we have performed the dynamical system analysis of $f(T)$ gravity cosmological models at both background and perturbation levels. We have presented three models pertaining to three distinct functional forms of $f(T)$. The first form is that of the logarithmic form of the torsion scalar $T$, the second one is in the power law form, and the third one is the combination of the first two forms. For all these three forms of $f(T)$, we have derived the corresponding cosmological parameters in terms of the dynamical variables. Subsequently, the critical points are obtained and the cond"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.09076","kind":"arxiv","version":2},"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/2303.09076/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":"2026-07-05T07:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7LcINVDS/fW2uO2u6wChiKXDv9iYOS3aZOwry5voIXLCw3J6DuXF8BdozHBUsuilBgSKw440RplUwOtcxjjwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T23:30:47.722268Z"},"content_sha256":"897c725857e476ec0dbe4cf6fcdf0c56c416d4b9f00dea1543956f508875f0b2","schema_version":"1.0","event_id":"sha256:897c725857e476ec0dbe4cf6fcdf0c56c416d4b9f00dea1543956f508875f0b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NMSAAWU5ZNRS4YAZGPVYVSLNAP/bundle.json","state_url":"https://pith.science/pith/NMSAAWU5ZNRS4YAZGPVYVSLNAP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NMSAAWU5ZNRS4YAZGPVYVSLNAP/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":"2026-08-05T23:30:47Z","links":{"resolver":"https://pith.science/pith/NMSAAWU5ZNRS4YAZGPVYVSLNAP","bundle":"https://pith.science/pith/NMSAAWU5ZNRS4YAZGPVYVSLNAP/bundle.json","state":"https://pith.science/pith/NMSAAWU5ZNRS4YAZGPVYVSLNAP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NMSAAWU5ZNRS4YAZGPVYVSLNAP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NMSAAWU5ZNRS4YAZGPVYVSLNAP","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":"28499386e8bc2b0e10f8e52705a0cedaa1c0e49e5765f5160deb3778426f3f17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-03-16T04:35:03Z","title_canon_sha256":"38f351d37ac3345d2cc7ae98650df0e8f5e6fb8d465c48a166480ca77d844140"},"schema_version":"1.0","source":{"id":"2303.09076","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.09076","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"2303.09076v2","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.09076","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"NMSAAWU5ZNRS","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"pith_short_16","alias_value":"NMSAAWU5ZNRS4YAZ","created_at":"2026-07-05T07:57:39Z"},{"alias_kind":"pith_short_8","alias_value":"NMSAAWU5","created_at":"2026-07-05T07:57:39Z"}],"graph_snapshots":[{"event_id":"sha256:897c725857e476ec0dbe4cf6fcdf0c56c416d4b9f00dea1543956f508875f0b2","target":"graph","created_at":"2026-07-05T07:57:39Z","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/2303.09076/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we have performed the dynamical system analysis of $f(T)$ gravity cosmological models at both background and perturbation levels. We have presented three models pertaining to three distinct functional forms of $f(T)$. The first form is that of the logarithmic form of the torsion scalar $T$, the second one is in the power law form, and the third one is the combination of the first two forms. For all these three forms of $f(T)$, we have derived the corresponding cosmological parameters in terms of the dynamical variables. Subsequently, the critical points are obtained and the cond","authors_text":"B. Mishra, Kanika Gandhi, L.K. Duchaniya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-03-16T04:35:03Z","title":"Attractor behaviour of $f(T)$ modified gravity and the cosmic acceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.09076","kind":"arxiv","version":2},"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:b16b66bdd9099905be5ff33e88b52eef3eb1f46b76839f575aec3b967a1a78af","target":"record","created_at":"2026-07-05T07:57:39Z","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":"28499386e8bc2b0e10f8e52705a0cedaa1c0e49e5765f5160deb3778426f3f17","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-03-16T04:35:03Z","title_canon_sha256":"38f351d37ac3345d2cc7ae98650df0e8f5e6fb8d465c48a166480ca77d844140"},"schema_version":"1.0","source":{"id":"2303.09076","kind":"arxiv","version":2}},"canonical_sha256":"6b24005a9dcb632e601933eb8ac96d03d98ac0a6db1f368eff5d95606f02b7b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b24005a9dcb632e601933eb8ac96d03d98ac0a6db1f368eff5d95606f02b7b7","first_computed_at":"2026-07-05T07:57:39.912438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:57:39.912438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"btvPodSC74HL2bMj8DV7NEbmjedCD8fwCAxiSGPl1fvX5+kn8D5pJ9mrpgV8IFMtQOmiNHJCTaryXvfon8WyDA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:57:39.912918Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.09076","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b16b66bdd9099905be5ff33e88b52eef3eb1f46b76839f575aec3b967a1a78af","sha256:897c725857e476ec0dbe4cf6fcdf0c56c416d4b9f00dea1543956f508875f0b2"],"state_sha256":"b18a98b0df1a9e646eb651cf45b7c5d89d5e450bcb78b44232669b56b1dbb631"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zOQGzU27bX6DYZTl4Za2DS/tE0UJCe2gBE5mV229zxkln+LFDZVzBJCeXcQqpoYBqdoZO4Diqppec6lhZepECw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T23:30:47.727643Z","bundle_sha256":"fb061c0ff587d1b15fe68b252213e82994c7c0ed61c9ca07bd16340a127c1863"}}