{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:KPDRAGLOB6LCO7EPXGHUXUUBNF","short_pith_number":"pith:KPDRAGLO","canonical_record":{"source":{"id":"1101.2141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-11T15:08:35Z","cross_cats_sorted":[],"title_canon_sha256":"56b148a51003b69d166422ac938172bcb306e4eb442bdb175a95df50c4310c43","abstract_canon_sha256":"ebb9d7cc5e2a635a1a106a7fb0f860fe686c69cd9332c543c98e032515bf71e4"},"schema_version":"1.0"},"canonical_sha256":"53c710196e0f96277c8fb98f4bd281694f2cc2859f5177ba2fc3be6c9de01753","source":{"kind":"arxiv","id":"1101.2141","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2141","created_at":"2026-05-18T04:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2141v1","created_at":"2026-05-18T04:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2141","created_at":"2026-05-18T04:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"KPDRAGLOB6LC","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KPDRAGLOB6LCO7EP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KPDRAGLO","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:KPDRAGLOB6LCO7EPXGHUXUUBNF","target":"record","payload":{"canonical_record":{"source":{"id":"1101.2141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-11T15:08:35Z","cross_cats_sorted":[],"title_canon_sha256":"56b148a51003b69d166422ac938172bcb306e4eb442bdb175a95df50c4310c43","abstract_canon_sha256":"ebb9d7cc5e2a635a1a106a7fb0f860fe686c69cd9332c543c98e032515bf71e4"},"schema_version":"1.0"},"canonical_sha256":"53c710196e0f96277c8fb98f4bd281694f2cc2859f5177ba2fc3be6c9de01753","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:45.413480Z","signature_b64":"YM06766cIJigGw1Bf/I9B1rrH8WJlieNl+zSifv1vVneG0T+kQr3Ad4US/gLqoxU1J45vs88yJkSAqRgWny0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53c710196e0f96277c8fb98f4bd281694f2cc2859f5177ba2fc3be6c9de01753","last_reissued_at":"2026-05-18T04:03:45.411173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:45.411173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.2141","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":"2026-05-18T04:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3egBhKH+U62GlrgLvuRx+gRTxfotL/gaM/p5ryRkzQBj6dloeTdy5x4b3qrg6dxDhLC6sEhuYPvM7S/bKAhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T03:41:35.554787Z"},"content_sha256":"f710c005dea3dd26620a11e9ebbc45ef1dbda92130fad882db53252e3f9037f0","schema_version":"1.0","event_id":"sha256:f710c005dea3dd26620a11e9ebbc45ef1dbda92130fad882db53252e3f9037f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:KPDRAGLOB6LCO7EPXGHUXUUBNF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jeans instability analysis in the presence of heat in Eckart's frame","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Sandoval-Villalbazo, J. H. Mondragon Suarez","submitted_at":"2011-01-11T15:08:35Z","abstract_excerpt":"It is shown that the coupling of heat with acceleration first proposed by Eckart would have an overwhelming effect in the growth of density mass fluctuations, even in non-relativistic fluids in the presence of a gravitational field. Gravitational effects would be negligible if the heat-acceleration relation is assumed to be valid for the hydrodynamic equations. A direct implication of this result is that recent alternative first order in the gradients theories must be taken into account while describing a special relativistic fluid."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2141","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":""},"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":"2026-05-18T04:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JJlmSlgiiDlsW3tkr7F1TMbRP8Ale0LS71yMKRbv8iGMTM42oL3bDCtrgzoypEbqwZT6nSt397tlO0Qc610VBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T03:41:35.555122Z"},"content_sha256":"f0382ed46d03575bbbeb08a735e061983b2b511c5b1e7db89ebb9ce5a9a17242","schema_version":"1.0","event_id":"sha256:f0382ed46d03575bbbeb08a735e061983b2b511c5b1e7db89ebb9ce5a9a17242"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPDRAGLOB6LCO7EPXGHUXUUBNF/bundle.json","state_url":"https://pith.science/pith/KPDRAGLOB6LCO7EPXGHUXUUBNF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPDRAGLOB6LCO7EPXGHUXUUBNF/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":"2026-06-25T03:41:35Z","links":{"resolver":"https://pith.science/pith/KPDRAGLOB6LCO7EPXGHUXUUBNF","bundle":"https://pith.science/pith/KPDRAGLOB6LCO7EPXGHUXUUBNF/bundle.json","state":"https://pith.science/pith/KPDRAGLOB6LCO7EPXGHUXUUBNF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPDRAGLOB6LCO7EPXGHUXUUBNF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:KPDRAGLOB6LCO7EPXGHUXUUBNF","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":"ebb9d7cc5e2a635a1a106a7fb0f860fe686c69cd9332c543c98e032515bf71e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-11T15:08:35Z","title_canon_sha256":"56b148a51003b69d166422ac938172bcb306e4eb442bdb175a95df50c4310c43"},"schema_version":"1.0","source":{"id":"1101.2141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.2141","created_at":"2026-05-18T04:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"1101.2141v1","created_at":"2026-05-18T04:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.2141","created_at":"2026-05-18T04:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"KPDRAGLOB6LC","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"KPDRAGLOB6LCO7EP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"KPDRAGLO","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:f0382ed46d03575bbbeb08a735e061983b2b511c5b1e7db89ebb9ce5a9a17242","target":"graph","created_at":"2026-05-18T04:03:45Z","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"},"paper":{"abstract_excerpt":"It is shown that the coupling of heat with acceleration first proposed by Eckart would have an overwhelming effect in the growth of density mass fluctuations, even in non-relativistic fluids in the presence of a gravitational field. Gravitational effects would be negligible if the heat-acceleration relation is assumed to be valid for the hydrodynamic equations. A direct implication of this result is that recent alternative first order in the gradients theories must be taken into account while describing a special relativistic fluid.","authors_text":"A. Sandoval-Villalbazo, J. H. Mondragon Suarez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-11T15:08:35Z","title":"Jeans instability analysis in the presence of heat in Eckart's frame"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.2141","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:f710c005dea3dd26620a11e9ebbc45ef1dbda92130fad882db53252e3f9037f0","target":"record","created_at":"2026-05-18T04:03:45Z","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":"ebb9d7cc5e2a635a1a106a7fb0f860fe686c69cd9332c543c98e032515bf71e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-01-11T15:08:35Z","title_canon_sha256":"56b148a51003b69d166422ac938172bcb306e4eb442bdb175a95df50c4310c43"},"schema_version":"1.0","source":{"id":"1101.2141","kind":"arxiv","version":1}},"canonical_sha256":"53c710196e0f96277c8fb98f4bd281694f2cc2859f5177ba2fc3be6c9de01753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53c710196e0f96277c8fb98f4bd281694f2cc2859f5177ba2fc3be6c9de01753","first_computed_at":"2026-05-18T04:03:45.411173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:45.411173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YM06766cIJigGw1Bf/I9B1rrH8WJlieNl+zSifv1vVneG0T+kQr3Ad4US/gLqoxU1J45vs88yJkSAqRgWny0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:45.413480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.2141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f710c005dea3dd26620a11e9ebbc45ef1dbda92130fad882db53252e3f9037f0","sha256:f0382ed46d03575bbbeb08a735e061983b2b511c5b1e7db89ebb9ce5a9a17242"],"state_sha256":"147d687bc24f937429ff69dd18913b16ac25e4ccd5e7652fd9caa8977f0a0ef3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n86B2IF6LJJkZ7j1azScm36escXC34PvsdaLhVe+vUzFoGtQOmdaJaNYo8GH76DkL5d2BUrcDZK5LYgwg5hfDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T03:41:35.557186Z","bundle_sha256":"ce4d441203f8cb7b7ad3dd5967ae975aa52626396fea1b3ca61eecd25eee9383"}}