{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NPY2LOUR7YRP345YUT6X3LLCCS","short_pith_number":"pith:NPY2LOUR","canonical_record":{"source":{"id":"2607.15897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-17T12:12:20Z","cross_cats_sorted":[],"title_canon_sha256":"75653846b1d34abd769409752414a1d21f3fd3658fabe598c14477a6feb7d7cb","abstract_canon_sha256":"2b2b48910dc35cfb1bce50370b8b770a3b15900924f3d6168b8cc4574e8a8b35"},"schema_version":"1.0"},"canonical_sha256":"6bf1a5ba91fe22fdf3b8a4fd7dad621491676a2c390f40b91f07b0c684a7697f","source":{"kind":"arxiv","id":"2607.15897","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15897","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15897v1","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15897","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"pith_short_12","alias_value":"NPY2LOUR7YRP","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"pith_short_16","alias_value":"NPY2LOUR7YRP345Y","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"pith_short_8","alias_value":"NPY2LOUR","created_at":"2026-07-20T01:19:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NPY2LOUR7YRP345YUT6X3LLCCS","target":"record","payload":{"canonical_record":{"source":{"id":"2607.15897","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-17T12:12:20Z","cross_cats_sorted":[],"title_canon_sha256":"75653846b1d34abd769409752414a1d21f3fd3658fabe598c14477a6feb7d7cb","abstract_canon_sha256":"2b2b48910dc35cfb1bce50370b8b770a3b15900924f3d6168b8cc4574e8a8b35"},"schema_version":"1.0"},"canonical_sha256":"6bf1a5ba91fe22fdf3b8a4fd7dad621491676a2c390f40b91f07b0c684a7697f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-20T01:19:16.356109Z","signature_b64":"cHqlbC+uEGpd5745byJIhAA41WgS9vHsLlYs8xFbY+UzBh8ID9uhWQXEt0b4UcszLUh5VaTby0en3QS8AQKRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bf1a5ba91fe22fdf3b8a4fd7dad621491676a2c390f40b91f07b0c684a7697f","last_reissued_at":"2026-07-20T01:19:16.355212Z","signature_status":"signed_v1","first_computed_at":"2026-07-20T01:19:16.355212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.15897","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":"2026-07-20T01:19:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nc5pxEM43OsYapJAONEiyQ+CQfYpLvuYVVyv0wjl56tl2n8Elo8luV5R3kM+2lMzs5B1zd1mG9fqKxPlgGHJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:34:06.738479Z"},"content_sha256":"2ffb45880332f144410438c9dd0d2f6d5204ee147b13bef65f12227df0da280d","schema_version":"1.0","event_id":"sha256:2ffb45880332f144410438c9dd0d2f6d5204ee147b13bef65f12227df0da280d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NPY2LOUR7YRP345YUT6X3LLCCS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On dark sector scalar field theories driven by cosmological $c$-fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alex E. Bernardini, Orfeu Bertolami","submitted_at":"2026-07-17T12:12:20Z","abstract_excerpt":"The interplay of Hoyle-Narlikar (HN) creation field cosmology and scalar field models for the dark sector, including the generalized Chaplygin Gas (GCG), is investigated . Though originating from distinct theoretical frameworks, both the inclusion and the non-inclusion of the creation field degree of freedom (DoF) involve a scalar DoF, which addresses some of the limitations of the standard $\\Lambda$CDM model. Using a Lagrangian scalar field formulation and the first-order Hamiltonian reconstruction method, the HN $c$-field dynamics is shown to be encompassed by the GCG equation of state throu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15897","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/2607.15897/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":"2026-07-20T01:19:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MZH8+1Yp2AW89gtIIZAJWAkiSbsnnjRaA1FzncEk2U0kQ9Vtj95cz09KVjxTbTqPmN+eMAw91xjKC2SQ8P//Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T18:34:06.738980Z"},"content_sha256":"b57b1a5c4afe34729b2b72be96a3bed916bb799900307f99db636a1ce3333fc9","schema_version":"1.0","event_id":"sha256:b57b1a5c4afe34729b2b72be96a3bed916bb799900307f99db636a1ce3333fc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NPY2LOUR7YRP345YUT6X3LLCCS/bundle.json","state_url":"https://pith.science/pith/NPY2LOUR7YRP345YUT6X3LLCCS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NPY2LOUR7YRP345YUT6X3LLCCS/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":"2026-08-11T18:34:06Z","links":{"resolver":"https://pith.science/pith/NPY2LOUR7YRP345YUT6X3LLCCS","bundle":"https://pith.science/pith/NPY2LOUR7YRP345YUT6X3LLCCS/bundle.json","state":"https://pith.science/pith/NPY2LOUR7YRP345YUT6X3LLCCS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NPY2LOUR7YRP345YUT6X3LLCCS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NPY2LOUR7YRP345YUT6X3LLCCS","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":"2b2b48910dc35cfb1bce50370b8b770a3b15900924f3d6168b8cc4574e8a8b35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-17T12:12:20Z","title_canon_sha256":"75653846b1d34abd769409752414a1d21f3fd3658fabe598c14477a6feb7d7cb"},"schema_version":"1.0","source":{"id":"2607.15897","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15897","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15897v1","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15897","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"pith_short_12","alias_value":"NPY2LOUR7YRP","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"pith_short_16","alias_value":"NPY2LOUR7YRP345Y","created_at":"2026-07-20T01:19:16Z"},{"alias_kind":"pith_short_8","alias_value":"NPY2LOUR","created_at":"2026-07-20T01:19:16Z"}],"graph_snapshots":[{"event_id":"sha256:b57b1a5c4afe34729b2b72be96a3bed916bb799900307f99db636a1ce3333fc9","target":"graph","created_at":"2026-07-20T01:19:16Z","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/2607.15897/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The interplay of Hoyle-Narlikar (HN) creation field cosmology and scalar field models for the dark sector, including the generalized Chaplygin Gas (GCG), is investigated . Though originating from distinct theoretical frameworks, both the inclusion and the non-inclusion of the creation field degree of freedom (DoF) involve a scalar DoF, which addresses some of the limitations of the standard $\\Lambda$CDM model. Using a Lagrangian scalar field formulation and the first-order Hamiltonian reconstruction method, the HN $c$-field dynamics is shown to be encompassed by the GCG equation of state throu","authors_text":"Alex E. Bernardini, Orfeu Bertolami","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-17T12:12:20Z","title":"On dark sector scalar field theories driven by cosmological $c$-fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15897","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":"sha256:2ffb45880332f144410438c9dd0d2f6d5204ee147b13bef65f12227df0da280d","target":"record","created_at":"2026-07-20T01:19:16Z","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":"2b2b48910dc35cfb1bce50370b8b770a3b15900924f3d6168b8cc4574e8a8b35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-17T12:12:20Z","title_canon_sha256":"75653846b1d34abd769409752414a1d21f3fd3658fabe598c14477a6feb7d7cb"},"schema_version":"1.0","source":{"id":"2607.15897","kind":"arxiv","version":1}},"canonical_sha256":"6bf1a5ba91fe22fdf3b8a4fd7dad621491676a2c390f40b91f07b0c684a7697f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bf1a5ba91fe22fdf3b8a4fd7dad621491676a2c390f40b91f07b0c684a7697f","first_computed_at":"2026-07-20T01:19:16.355212Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T01:19:16.355212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cHqlbC+uEGpd5745byJIhAA41WgS9vHsLlYs8xFbY+UzBh8ID9uhWQXEt0b4UcszLUh5VaTby0en3QS8AQKRBg==","signature_status":"signed_v1","signed_at":"2026-07-20T01:19:16.356109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15897","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ffb45880332f144410438c9dd0d2f6d5204ee147b13bef65f12227df0da280d","sha256:b57b1a5c4afe34729b2b72be96a3bed916bb799900307f99db636a1ce3333fc9"],"state_sha256":"a894d13e0d724f1ba9e387f60108aa6f7659ab5d0cceefc0d3abc57639193bde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVR/YHX1VMmNXVkMBbm5RThVuUDUxBbt4kMnZpoCMq9FbnzSgnAt5zmkc1HH5XovocaLSIl1Hz8Bt+VuLpcYCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T18:34:06.744480Z","bundle_sha256":"14bc156ac9aee9b5fbe0212b62a021c816da98930aad039720c7ff96c4fb031b"}}