{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4Q4L52R7WH53DSJLIVS4RCTYRX","short_pith_number":"pith:4Q4L52R7","canonical_record":{"source":{"id":"1703.10656","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:04:56Z","cross_cats_sorted":[],"title_canon_sha256":"c556b725d94b1d01911835856c830f2e67ba22e223a2ba21b0aa3bac2d523fb4","abstract_canon_sha256":"7b547a0d5917bef1202099daab53a977ff636274136362bea04049f7351ce3d9"},"schema_version":"1.0"},"canonical_sha256":"e438beea3fb1fbb1c92b4565c88a788de00061c7337d1a745a8be0c08696bdd7","source":{"kind":"arxiv","id":"1703.10656","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10656","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10656v4","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10656","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"4Q4L52R7WH53","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"pith_short_16","alias_value":"4Q4L52R7WH53DSJL","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"pith_short_8","alias_value":"4Q4L52R7","created_at":"2026-07-05T08:55:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4Q4L52R7WH53DSJLIVS4RCTYRX","target":"record","payload":{"canonical_record":{"source":{"id":"1703.10656","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:04:56Z","cross_cats_sorted":[],"title_canon_sha256":"c556b725d94b1d01911835856c830f2e67ba22e223a2ba21b0aa3bac2d523fb4","abstract_canon_sha256":"7b547a0d5917bef1202099daab53a977ff636274136362bea04049f7351ce3d9"},"schema_version":"1.0"},"canonical_sha256":"e438beea3fb1fbb1c92b4565c88a788de00061c7337d1a745a8be0c08696bdd7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:55:18.731855Z","signature_b64":"KnLbng8H65oFgYyNntOd6p4D6yWu4b2Me322ymA7QFe/ZJSeXulneaSzcOaofQ93yrjOzTnjWAlex1DDlZMEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e438beea3fb1fbb1c92b4565c88a788de00061c7337d1a745a8be0c08696bdd7","last_reissued_at":"2026-07-05T08:55:18.731364Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:55:18.731364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.10656","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SIWudWzPuMjPu/dbKNE/NioW4xYVgsyCrCRmzxPQnAWIQOj5Ve4MuyYDbKfpGeODjZ6dukkdK0iU/fAGUiTXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T13:00:07.357462Z"},"content_sha256":"ce71d35c4a5f436bf9ed6f1b131c4c48c12976ce9fe77ebd0b67021b17c7032a","schema_version":"1.0","event_id":"sha256:ce71d35c4a5f436bf9ed6f1b131c4c48c12976ce9fe77ebd0b67021b17c7032a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4Q4L52R7WH53DSJLIVS4RCTYRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modular Hamiltonians on the null plane and the Markov property of the vacuum state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Eduardo Teste, Gonzalo Torroba, Horacio Casini","submitted_at":"2017-03-30T20:04:56Z","abstract_excerpt":"We compute the modular Hamiltonians of regions having the future horizon lying on a null plane. For a CFT this is equivalent to regions with boundary of arbitrary shape lying on the null cone. These Hamiltonians have a local expression on the horizon formed by integrals of the stress tensor. We prove this result in two different ways, and show that the modular Hamiltonians of these regions form an infinite dimensional Lie algebra. The corresponding group of unitary transformations moves the fields on the null surface locally along the null generators with arbitrary null line dependent velociti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10656","kind":"arxiv","version":4},"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/1703.10656/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":"2026-07-05T08:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2H3TpayKjno+sPNEvZF3QTbo6idMzlDUGwV8nHYuOKO9Y5Yk1t4qXMDX8VXwHTkkp1DhKqCYYXjPi1/QK6hGBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T13:00:07.358169Z"},"content_sha256":"677b10727b6a07e31bbc44e313e01013aa0da5c18af8eace542b66c9882f7a1e","schema_version":"1.0","event_id":"sha256:677b10727b6a07e31bbc44e313e01013aa0da5c18af8eace542b66c9882f7a1e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Q4L52R7WH53DSJLIVS4RCTYRX/bundle.json","state_url":"https://pith.science/pith/4Q4L52R7WH53DSJLIVS4RCTYRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Q4L52R7WH53DSJLIVS4RCTYRX/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":"2026-08-01T13:00:07Z","links":{"resolver":"https://pith.science/pith/4Q4L52R7WH53DSJLIVS4RCTYRX","bundle":"https://pith.science/pith/4Q4L52R7WH53DSJLIVS4RCTYRX/bundle.json","state":"https://pith.science/pith/4Q4L52R7WH53DSJLIVS4RCTYRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Q4L52R7WH53DSJLIVS4RCTYRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4Q4L52R7WH53DSJLIVS4RCTYRX","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":"7b547a0d5917bef1202099daab53a977ff636274136362bea04049f7351ce3d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:04:56Z","title_canon_sha256":"c556b725d94b1d01911835856c830f2e67ba22e223a2ba21b0aa3bac2d523fb4"},"schema_version":"1.0","source":{"id":"1703.10656","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10656","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10656v4","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10656","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"4Q4L52R7WH53","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"pith_short_16","alias_value":"4Q4L52R7WH53DSJL","created_at":"2026-07-05T08:55:18Z"},{"alias_kind":"pith_short_8","alias_value":"4Q4L52R7","created_at":"2026-07-05T08:55:18Z"}],"graph_snapshots":[{"event_id":"sha256:677b10727b6a07e31bbc44e313e01013aa0da5c18af8eace542b66c9882f7a1e","target":"graph","created_at":"2026-07-05T08:55:18Z","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/1703.10656/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the modular Hamiltonians of regions having the future horizon lying on a null plane. For a CFT this is equivalent to regions with boundary of arbitrary shape lying on the null cone. These Hamiltonians have a local expression on the horizon formed by integrals of the stress tensor. We prove this result in two different ways, and show that the modular Hamiltonians of these regions form an infinite dimensional Lie algebra. The corresponding group of unitary transformations moves the fields on the null surface locally along the null generators with arbitrary null line dependent velociti","authors_text":"Eduardo Teste, Gonzalo Torroba, Horacio Casini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:04:56Z","title":"Modular Hamiltonians on the null plane and the Markov property of the vacuum state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10656","kind":"arxiv","version":4},"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:ce71d35c4a5f436bf9ed6f1b131c4c48c12976ce9fe77ebd0b67021b17c7032a","target":"record","created_at":"2026-07-05T08:55:18Z","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":"7b547a0d5917bef1202099daab53a977ff636274136362bea04049f7351ce3d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:04:56Z","title_canon_sha256":"c556b725d94b1d01911835856c830f2e67ba22e223a2ba21b0aa3bac2d523fb4"},"schema_version":"1.0","source":{"id":"1703.10656","kind":"arxiv","version":4}},"canonical_sha256":"e438beea3fb1fbb1c92b4565c88a788de00061c7337d1a745a8be0c08696bdd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e438beea3fb1fbb1c92b4565c88a788de00061c7337d1a745a8be0c08696bdd7","first_computed_at":"2026-07-05T08:55:18.731364Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:55:18.731364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KnLbng8H65oFgYyNntOd6p4D6yWu4b2Me322ymA7QFe/ZJSeXulneaSzcOaofQ93yrjOzTnjWAlex1DDlZMEAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:55:18.731855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10656","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce71d35c4a5f436bf9ed6f1b131c4c48c12976ce9fe77ebd0b67021b17c7032a","sha256:677b10727b6a07e31bbc44e313e01013aa0da5c18af8eace542b66c9882f7a1e"],"state_sha256":"cd25ff411cdb40235a9d8a22ef9fb821dc41ddd2afc8013fb1c0d83955e0c509"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vFo0zUW2xVuBbzXBXQOL7h9wl4tsfuvQsvL2kqhDYorzGEbIm59dus3gC1rk4zXlPxZS/tngwS+jMkIvbF/HAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T13:00:07.365143Z","bundle_sha256":"73ba9460815f3ef8781e5ec172c5875cda9b195cff2114df46d24f5422479cee"}}