{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HLR7G73WSX5N5QQVYPMP3FA4GN","short_pith_number":"pith:HLR7G73W","canonical_record":{"source":{"id":"2409.12205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-17T10:26:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"02da493057ef315863181956241b58e2b7806893f991c35da8c790d83f9eefaf","abstract_canon_sha256":"1413b907e642e22af23cd249aa87525263400056b71745dc19e157d7dd6d69bb"},"schema_version":"1.0"},"canonical_sha256":"3ae3f37f7695fadec215c3d8fd941c334e4b7febb76c676588c2844fbabe1f9c","source":{"kind":"arxiv","id":"2409.12205","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12205","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12205v1","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12205","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"HLR7G73WSX5N","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_16","alias_value":"HLR7G73WSX5N5QQV","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_8","alias_value":"HLR7G73W","created_at":"2026-07-05T09:08:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HLR7G73WSX5N5QQVYPMP3FA4GN","target":"record","payload":{"canonical_record":{"source":{"id":"2409.12205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-17T10:26:09Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"02da493057ef315863181956241b58e2b7806893f991c35da8c790d83f9eefaf","abstract_canon_sha256":"1413b907e642e22af23cd249aa87525263400056b71745dc19e157d7dd6d69bb"},"schema_version":"1.0"},"canonical_sha256":"3ae3f37f7695fadec215c3d8fd941c334e4b7febb76c676588c2844fbabe1f9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:08:49.893044Z","signature_b64":"VCDnM8H+ovb2x4FMWr4N88IfzVr7+iPzCcY0TFOMSuk4qd9HR9XNSI9UFJAr3cT5huHU17V47oSOsa3wQOfTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ae3f37f7695fadec215c3d8fd941c334e4b7febb76c676588c2844fbabe1f9c","last_reissued_at":"2026-07-05T09:08:49.892527Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:08:49.892527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.12205","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":"2026-07-05T09:08:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pJ39HtDnZpgRC5R1GSHralrvMX7sy/D+ORTTEPs/TMz+3sQ2INkGIoNduscV+onQy874By8qY8nzsaTG81RGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:16:34.943498Z"},"content_sha256":"dd5926894c1ee0e6ba4a4a0cb576c7a63bfcfb57e50bf5eeebaa8e77ecec8eb0","schema_version":"1.0","event_id":"sha256:dd5926894c1ee0e6ba4a4a0cb576c7a63bfcfb57e50bf5eeebaa8e77ecec8eb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HLR7G73WSX5N5QQVYPMP3FA4GN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Barrow Holographic Dark Energy in $f(Q,L_{m})$ gravity: A dynamical system perspective","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Amit Samaddar, S. Surendra Singh","submitted_at":"2024-09-17T10:26:09Z","abstract_excerpt":"In this work, we investigate the cosmological implications of the Barrow Holographic Dark Energy (BADE) model within the framework of $f(Q,L_{m})$ gravity, specifically considering the model $f(Q,L_{m})=\\alpha Q+\\beta L_{m}$. Using a dynamical system approach for both non-interacting and interacting scenarios, we identify critical points corresponding to different phases of the Universe's evolution, including matter domination, radiation domination and dark energy-driven accelerated expansion. Our analysis reveals two stable critical points in the non-interacting case and three stable critical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12205","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/2409.12205/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":"2026-07-05T09:08:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKzpU/QTKRT38rmGeMFxAuPM1cyVK7oAT6kLuj5+j0IWuajbQQcBYaC5S/SaiGxfzk7/X7UcAoYUZX7YAwvtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:16:34.943998Z"},"content_sha256":"b8fb7150dda55cd81c1df5550cb23497c7e9ffe450f7c5791b9c0edabab39dcc","schema_version":"1.0","event_id":"sha256:b8fb7150dda55cd81c1df5550cb23497c7e9ffe450f7c5791b9c0edabab39dcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HLR7G73WSX5N5QQVYPMP3FA4GN/bundle.json","state_url":"https://pith.science/pith/HLR7G73WSX5N5QQVYPMP3FA4GN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HLR7G73WSX5N5QQVYPMP3FA4GN/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":"2026-08-15T13:16:34Z","links":{"resolver":"https://pith.science/pith/HLR7G73WSX5N5QQVYPMP3FA4GN","bundle":"https://pith.science/pith/HLR7G73WSX5N5QQVYPMP3FA4GN/bundle.json","state":"https://pith.science/pith/HLR7G73WSX5N5QQVYPMP3FA4GN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HLR7G73WSX5N5QQVYPMP3FA4GN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HLR7G73WSX5N5QQVYPMP3FA4GN","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":"1413b907e642e22af23cd249aa87525263400056b71745dc19e157d7dd6d69bb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-17T10:26:09Z","title_canon_sha256":"02da493057ef315863181956241b58e2b7806893f991c35da8c790d83f9eefaf"},"schema_version":"1.0","source":{"id":"2409.12205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12205","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12205v1","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12205","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_12","alias_value":"HLR7G73WSX5N","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_16","alias_value":"HLR7G73WSX5N5QQV","created_at":"2026-07-05T09:08:49Z"},{"alias_kind":"pith_short_8","alias_value":"HLR7G73W","created_at":"2026-07-05T09:08:49Z"}],"graph_snapshots":[{"event_id":"sha256:b8fb7150dda55cd81c1df5550cb23497c7e9ffe450f7c5791b9c0edabab39dcc","target":"graph","created_at":"2026-07-05T09:08:49Z","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/2409.12205/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we investigate the cosmological implications of the Barrow Holographic Dark Energy (BADE) model within the framework of $f(Q,L_{m})$ gravity, specifically considering the model $f(Q,L_{m})=\\alpha Q+\\beta L_{m}$. Using a dynamical system approach for both non-interacting and interacting scenarios, we identify critical points corresponding to different phases of the Universe's evolution, including matter domination, radiation domination and dark energy-driven accelerated expansion. Our analysis reveals two stable critical points in the non-interacting case and three stable critical","authors_text":"Amit Samaddar, S. Surendra Singh","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-17T10:26:09Z","title":"Barrow Holographic Dark Energy in $f(Q,L_{m})$ gravity: A dynamical system perspective"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12205","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:dd5926894c1ee0e6ba4a4a0cb576c7a63bfcfb57e50bf5eeebaa8e77ecec8eb0","target":"record","created_at":"2026-07-05T09:08:49Z","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":"1413b907e642e22af23cd249aa87525263400056b71745dc19e157d7dd6d69bb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-17T10:26:09Z","title_canon_sha256":"02da493057ef315863181956241b58e2b7806893f991c35da8c790d83f9eefaf"},"schema_version":"1.0","source":{"id":"2409.12205","kind":"arxiv","version":1}},"canonical_sha256":"3ae3f37f7695fadec215c3d8fd941c334e4b7febb76c676588c2844fbabe1f9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ae3f37f7695fadec215c3d8fd941c334e4b7febb76c676588c2844fbabe1f9c","first_computed_at":"2026-07-05T09:08:49.892527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:08:49.892527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VCDnM8H+ovb2x4FMWr4N88IfzVr7+iPzCcY0TFOMSuk4qd9HR9XNSI9UFJAr3cT5huHU17V47oSOsa3wQOfTCg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:08:49.893044Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.12205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd5926894c1ee0e6ba4a4a0cb576c7a63bfcfb57e50bf5eeebaa8e77ecec8eb0","sha256:b8fb7150dda55cd81c1df5550cb23497c7e9ffe450f7c5791b9c0edabab39dcc"],"state_sha256":"9d63d348cb73c7982bea939fb62ec91680fc789d6532b3219733d9dbd91c32b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hbyACfkL/PrtkbKxbeerVKmNZcyw+k17xn4se0GjbC+pNe6qSgZax4xGGvZdDvG0cKQZgyKes8+u+K8LmIQLAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:16:34.948598Z","bundle_sha256":"56f5a9a623e08acc120df87169548dadc2cd025f72a87f6ceff04183533cfd0e"}}