{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:A4TKP7NIE5TLV4TI6RF5TZQQJY","short_pith_number":"pith:A4TKP7NI","canonical_record":{"source":{"id":"hep-th/0009052","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-09-08T00:45:37Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"e82313ad5c73867ca1a3f11bf38c650330e9e9db17a62d73b47d457ea3f7f7b2","abstract_canon_sha256":"d748e1839aa0372159578d6a117d6a57c76f476bfc155b01ad7185807126db32"},"schema_version":"1.0"},"canonical_sha256":"0726a7fda82766baf268f44bd9e6104e0fd950995b3266d1e461684ecbe8543c","source":{"kind":"arxiv","id":"hep-th/0009052","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0009052","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0009052v2","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0009052","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"A4TKP7NIE5TL","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"pith_short_16","alias_value":"A4TKP7NIE5TLV4TI","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"pith_short_8","alias_value":"A4TKP7NI","created_at":"2026-07-04T15:26:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:A4TKP7NIE5TLV4TI6RF5TZQQJY","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0009052","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-09-08T00:45:37Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"e82313ad5c73867ca1a3f11bf38c650330e9e9db17a62d73b47d457ea3f7f7b2","abstract_canon_sha256":"d748e1839aa0372159578d6a117d6a57c76f476bfc155b01ad7185807126db32"},"schema_version":"1.0"},"canonical_sha256":"0726a7fda82766baf268f44bd9e6104e0fd950995b3266d1e461684ecbe8543c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:26:46.429622Z","signature_b64":"VWrQSsv9x+LKyD1APFoA4LYMh7vK0MrPLeT3Pdhs6JasN1LAejC7V6BioZG1SjOZP446F91sdpTdGbqAiS2xAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0726a7fda82766baf268f44bd9e6104e0fd950995b3266d1e461684ecbe8543c","last_reissued_at":"2026-07-04T15:26:46.429211Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:26:46.429211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0009052","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":"2026-07-04T15:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i2YhLiLlH32JufwZz/QEO74HZtlUGMVaooWSP5dxYP917DHNHeSDiNp5NNfbXzyitoNkbKsbFZHZIMs/sF3VAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T20:25:58.256516Z"},"content_sha256":"e546ba5df821ca79526c03324f2a1825e39c5d51fd470c425616ebed49c8b744","schema_version":"1.0","event_id":"sha256:e546ba5df821ca79526c03324f2a1825e39c5d51fd470c425616ebed49c8b744"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:A4TKP7NIE5TLV4TI6RF5TZQQJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"David Mattingly, Ted Jacobson","submitted_at":"2000-09-08T00:45:37Z","abstract_excerpt":"Short distance structure of spacetime may show up in the form of high freqency dispersion. Although such dispersion is not locally Lorentz invariant, we show in a scalar field model how it can nevertheless be incorporated into a generally covariant metric theory of gravity provided the locally preferred frame is dynamical. We evaluate the resulting energy-momentum tensor and compute its expectation value for a quantum field in a thermal state. The equation of state differs at high temperatures from the usual one, but not by enough to impact the problems of a hot big bang cosmology. We show tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0009052","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/hep-th/0009052/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":"2026-07-04T15:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VxolofkNgavOK15Zj6rh1DCl8EB1ogNxV0cqe/upadV3trWoA7DzpIytNm0USPOVg9TfxMGeK28Dh/VJaiuzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T20:25:58.256910Z"},"content_sha256":"9a485dccdda3fde01b37534174fe3051cd819b025acb0bd8aa0c87a2815d1e04","schema_version":"1.0","event_id":"sha256:9a485dccdda3fde01b37534174fe3051cd819b025acb0bd8aa0c87a2815d1e04"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A4TKP7NIE5TLV4TI6RF5TZQQJY/bundle.json","state_url":"https://pith.science/pith/A4TKP7NIE5TLV4TI6RF5TZQQJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A4TKP7NIE5TLV4TI6RF5TZQQJY/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":"2026-07-04T20:25:58Z","links":{"resolver":"https://pith.science/pith/A4TKP7NIE5TLV4TI6RF5TZQQJY","bundle":"https://pith.science/pith/A4TKP7NIE5TLV4TI6RF5TZQQJY/bundle.json","state":"https://pith.science/pith/A4TKP7NIE5TLV4TI6RF5TZQQJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A4TKP7NIE5TLV4TI6RF5TZQQJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:A4TKP7NIE5TLV4TI6RF5TZQQJY","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":"d748e1839aa0372159578d6a117d6a57c76f476bfc155b01ad7185807126db32","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2000-09-08T00:45:37Z","title_canon_sha256":"e82313ad5c73867ca1a3f11bf38c650330e9e9db17a62d73b47d457ea3f7f7b2"},"schema_version":"1.0","source":{"id":"hep-th/0009052","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0009052","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0009052v2","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0009052","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"A4TKP7NIE5TL","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"pith_short_16","alias_value":"A4TKP7NIE5TLV4TI","created_at":"2026-07-04T15:26:46Z"},{"alias_kind":"pith_short_8","alias_value":"A4TKP7NI","created_at":"2026-07-04T15:26:46Z"}],"graph_snapshots":[{"event_id":"sha256:9a485dccdda3fde01b37534174fe3051cd819b025acb0bd8aa0c87a2815d1e04","target":"graph","created_at":"2026-07-04T15:26:46Z","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/hep-th/0009052/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Short distance structure of spacetime may show up in the form of high freqency dispersion. Although such dispersion is not locally Lorentz invariant, we show in a scalar field model how it can nevertheless be incorporated into a generally covariant metric theory of gravity provided the locally preferred frame is dynamical. We evaluate the resulting energy-momentum tensor and compute its expectation value for a quantum field in a thermal state. The equation of state differs at high temperatures from the usual one, but not by enough to impact the problems of a hot big bang cosmology. We show tha","authors_text":"David Mattingly, Ted Jacobson","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-09-08T00:45:37Z","title":"Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0009052","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:e546ba5df821ca79526c03324f2a1825e39c5d51fd470c425616ebed49c8b744","target":"record","created_at":"2026-07-04T15:26:46Z","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":"d748e1839aa0372159578d6a117d6a57c76f476bfc155b01ad7185807126db32","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2000-09-08T00:45:37Z","title_canon_sha256":"e82313ad5c73867ca1a3f11bf38c650330e9e9db17a62d73b47d457ea3f7f7b2"},"schema_version":"1.0","source":{"id":"hep-th/0009052","kind":"arxiv","version":2}},"canonical_sha256":"0726a7fda82766baf268f44bd9e6104e0fd950995b3266d1e461684ecbe8543c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0726a7fda82766baf268f44bd9e6104e0fd950995b3266d1e461684ecbe8543c","first_computed_at":"2026-07-04T15:26:46.429211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:26:46.429211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VWrQSsv9x+LKyD1APFoA4LYMh7vK0MrPLeT3Pdhs6JasN1LAejC7V6BioZG1SjOZP446F91sdpTdGbqAiS2xAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:26:46.429622Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0009052","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e546ba5df821ca79526c03324f2a1825e39c5d51fd470c425616ebed49c8b744","sha256:9a485dccdda3fde01b37534174fe3051cd819b025acb0bd8aa0c87a2815d1e04"],"state_sha256":"53041931e3cdbb368bad28f1522bfbebb3a07b6f8a83381fed3653fb25957f28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vQWtGnF+j+bch2iP6YptV+G3s8Maw+6bC5uSiWeuoCZaJLZHTq/XMGyNqr2poP9Bls2njjkGYVK7wcCzHUd1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T20:25:58.258899Z","bundle_sha256":"a9e516ba0ebd1ca343e720f36132a189c48e35829850eb4241bfe55445f41d20"}}