{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JAKIBM6VTP62RNLT567MEFODYL","short_pith_number":"pith:JAKIBM6V","canonical_record":{"source":{"id":"1005.5151","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-27T19:14:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7408e36e6642520fd0befed7178f6a1eb4372a6d3c8792f74e2488738d40a071","abstract_canon_sha256":"b15812bf59274c04d81774fa84f364a5073c11508222f0ca1f768c663ce871ae"},"schema_version":"1.0"},"canonical_sha256":"481480b3d59bfda8b573efbec215c3c2db06557e645ea73f08b7f61ee753f66c","source":{"kind":"arxiv","id":"1005.5151","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5151","created_at":"2026-05-18T02:33:23Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5151v2","created_at":"2026-05-18T02:33:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5151","created_at":"2026-05-18T02:33:23Z"},{"alias_kind":"pith_short_12","alias_value":"JAKIBM6VTP62","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JAKIBM6VTP62RNLT","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JAKIBM6V","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JAKIBM6VTP62RNLT567MEFODYL","target":"record","payload":{"canonical_record":{"source":{"id":"1005.5151","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-27T19:14:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7408e36e6642520fd0befed7178f6a1eb4372a6d3c8792f74e2488738d40a071","abstract_canon_sha256":"b15812bf59274c04d81774fa84f364a5073c11508222f0ca1f768c663ce871ae"},"schema_version":"1.0"},"canonical_sha256":"481480b3d59bfda8b573efbec215c3c2db06557e645ea73f08b7f61ee753f66c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:23.746485Z","signature_b64":"YKXeU6qMG+qO9hxnvMYarg5Pi9tzBCWpgetdIZmyjYsDFMWdJlzy/yPAAZoHevPiY8rglsrap7sH8zJZc++CAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"481480b3d59bfda8b573efbec215c3c2db06557e645ea73f08b7f61ee753f66c","last_reissued_at":"2026-05-18T02:33:23.746079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:23.746079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.5151","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":"2026-05-18T02:33:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WRUtiqz3o8QZ868ROn1cRwJFcv1yZgXuaL4KYV72veRuRH6DKR/XoKQlboaOFSmq7PkRrwCEXyB4fRe9RiEYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:15:08.100011Z"},"content_sha256":"7d03639815ff5fb424663e68323671b586ae98af479eedc7179602806b52d556","schema_version":"1.0","event_id":"sha256:7d03639815ff5fb424663e68323671b586ae98af479eedc7179602806b52d556"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JAKIBM6VTP62RNLT567MEFODYL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauss-Codazzi thermodynamics on the timelike screen","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Federico Piazza","submitted_at":"2010-05-27T19:14:12Z","abstract_excerpt":"It is a known result by Jacobson that the flux of energy-matter through a local Rindler horizon is related with the expansion of the null generators in a way that mirrors the first law of thermodynamics. We extend such a result to a timelike screen of observers with finite acceleration. Since timelike curves have more freedom than null geodesics, the construction is more involved than Jacobson's and few geometrical constraints need to be imposed: the observers' acceleration has to be constant in time and everywhere orthogonal to the screen. Moreover, at any given time, the extrinsic curvature "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5151","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":""},"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":"2026-05-18T02:33:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"quOdoehl1LEE165LqmAP+4bV5p7Dw4wozdRJxXRUx0IjruH2BQu94cBhASUUpDJseg8FMiYL49WevJMwNzCzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:15:08.100371Z"},"content_sha256":"237df03800497948b31c0824dd5df6f8cab4ad0071be6b921b37c3c8441482bd","schema_version":"1.0","event_id":"sha256:237df03800497948b31c0824dd5df6f8cab4ad0071be6b921b37c3c8441482bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JAKIBM6VTP62RNLT567MEFODYL/bundle.json","state_url":"https://pith.science/pith/JAKIBM6VTP62RNLT567MEFODYL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JAKIBM6VTP62RNLT567MEFODYL/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":"2026-05-30T06:15:08Z","links":{"resolver":"https://pith.science/pith/JAKIBM6VTP62RNLT567MEFODYL","bundle":"https://pith.science/pith/JAKIBM6VTP62RNLT567MEFODYL/bundle.json","state":"https://pith.science/pith/JAKIBM6VTP62RNLT567MEFODYL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JAKIBM6VTP62RNLT567MEFODYL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JAKIBM6VTP62RNLT567MEFODYL","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":"b15812bf59274c04d81774fa84f364a5073c11508222f0ca1f768c663ce871ae","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-27T19:14:12Z","title_canon_sha256":"7408e36e6642520fd0befed7178f6a1eb4372a6d3c8792f74e2488738d40a071"},"schema_version":"1.0","source":{"id":"1005.5151","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5151","created_at":"2026-05-18T02:33:23Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5151v2","created_at":"2026-05-18T02:33:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5151","created_at":"2026-05-18T02:33:23Z"},{"alias_kind":"pith_short_12","alias_value":"JAKIBM6VTP62","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JAKIBM6VTP62RNLT","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JAKIBM6V","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:237df03800497948b31c0824dd5df6f8cab4ad0071be6b921b37c3c8441482bd","target":"graph","created_at":"2026-05-18T02:33:23Z","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 a known result by Jacobson that the flux of energy-matter through a local Rindler horizon is related with the expansion of the null generators in a way that mirrors the first law of thermodynamics. We extend such a result to a timelike screen of observers with finite acceleration. Since timelike curves have more freedom than null geodesics, the construction is more involved than Jacobson's and few geometrical constraints need to be imposed: the observers' acceleration has to be constant in time and everywhere orthogonal to the screen. Moreover, at any given time, the extrinsic curvature ","authors_text":"Federico Piazza","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-27T19:14:12Z","title":"Gauss-Codazzi thermodynamics on the timelike screen"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5151","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":"sha256:7d03639815ff5fb424663e68323671b586ae98af479eedc7179602806b52d556","target":"record","created_at":"2026-05-18T02:33:23Z","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":"b15812bf59274c04d81774fa84f364a5073c11508222f0ca1f768c663ce871ae","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-27T19:14:12Z","title_canon_sha256":"7408e36e6642520fd0befed7178f6a1eb4372a6d3c8792f74e2488738d40a071"},"schema_version":"1.0","source":{"id":"1005.5151","kind":"arxiv","version":2}},"canonical_sha256":"481480b3d59bfda8b573efbec215c3c2db06557e645ea73f08b7f61ee753f66c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"481480b3d59bfda8b573efbec215c3c2db06557e645ea73f08b7f61ee753f66c","first_computed_at":"2026-05-18T02:33:23.746079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:23.746079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKXeU6qMG+qO9hxnvMYarg5Pi9tzBCWpgetdIZmyjYsDFMWdJlzy/yPAAZoHevPiY8rglsrap7sH8zJZc++CAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:23.746485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5151","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d03639815ff5fb424663e68323671b586ae98af479eedc7179602806b52d556","sha256:237df03800497948b31c0824dd5df6f8cab4ad0071be6b921b37c3c8441482bd"],"state_sha256":"37b62e630e97707cc067dbfd8a7594ae39dab577dafc51ec240ae023629f4c90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+R609uMbad3BFozHp9I5qRwIbULQYDpbtKSxKETGXrWYSU9sukKiQ2Mzv1/cdZVlMJuZve0iFsfGwe14iP1xCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:15:08.102419Z","bundle_sha256":"bcc0a922b0b0edc2dbd1f24693875844ca0745a80260d3cea7d399efba48a7c5"}}