{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW","short_pith_number":"pith:GH6UPXJT","canonical_record":{"source":{"id":"1102.2326","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-11T11:13:22Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"8d028ca197edd9fe2d0f0272ec90006f1fabf0a2bcb3928ddcf50079fbd68c15","abstract_canon_sha256":"3bed381bcebc33523eb6103c65d007b1bd98d05cc5d136bdb2d95533927e659f"},"schema_version":"1.0"},"canonical_sha256":"31fd47dd33372054ea1cb1b6887f23b59330d72bb065663ff546ae5c2b638266","source":{"kind":"arxiv","id":"1102.2326","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2326","created_at":"2026-05-18T04:15:05Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2326v2","created_at":"2026-05-18T04:15:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2326","created_at":"2026-05-18T04:15:05Z"},{"alias_kind":"pith_short_12","alias_value":"GH6UPXJTG4QF","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GH6UPXJTG4QFJ2Q4","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GH6UPXJT","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW","target":"record","payload":{"canonical_record":{"source":{"id":"1102.2326","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-11T11:13:22Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"8d028ca197edd9fe2d0f0272ec90006f1fabf0a2bcb3928ddcf50079fbd68c15","abstract_canon_sha256":"3bed381bcebc33523eb6103c65d007b1bd98d05cc5d136bdb2d95533927e659f"},"schema_version":"1.0"},"canonical_sha256":"31fd47dd33372054ea1cb1b6887f23b59330d72bb065663ff546ae5c2b638266","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:05.492691Z","signature_b64":"dwoUD5U8DXmWhwKscG5Yfp8Fyk7+LbJiaGoSNUobCuQCAPY4RLz0PrGJDdkc01VsR//pGmdX26zsVARM8rtXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31fd47dd33372054ea1cb1b6887f23b59330d72bb065663ff546ae5c2b638266","last_reissued_at":"2026-05-18T04:15:05.491949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:05.491949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.2326","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":"2026-05-18T04:15:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4KLhbcflOKw0hyTIC43dXQlHg7djwiGRy2Ddh+66MxHWv3Gzlu+SGgJLNpcAd/xVvIbjZxn7D/dF5vkJrLw5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:46:43.116368Z"},"content_sha256":"83f980aa64ce67ba32e35fb6c0a68ca1d9f59730f58c1892352a02d6d9e4d94a","schema_version":"1.0","event_id":"sha256:83f980aa64ce67ba32e35fb6c0a68ca1d9f59730f58c1892352a02d6d9e4d94a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black hole evaporation rates without spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"quant-ph","authors_text":"Manas K. Patra, Samuel L. Braunstein","submitted_at":"2011-02-11T11:13:22Z","abstract_excerpt":"Verlinde recently suggested that gravity, inertia, and even spacetime may be emergent properties of an underlying thermodynamic theory. This vision was motivated in part by Jacobson's 1995 surprise result that the Einstein equations of gravity follow from the thermodynamic properties of event horizons. Taking a first tentative step in such a program, we derive the evaporation rate (or radiation spectrum) from black hole event horizons in a spacetime-free manner. Our result relies on a Hilbert space description of black hole evaporation, symmetries therein which follow from the inherent high di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2326","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":"2026-05-18T04:15:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EV3s2XSCprhCeSiE+bVx5v8Tb5tqR41p6q6vv5MgD3+sfntj2CXQ6g7Q6TXHNiksawPmB55uoMb2jQ/17ANBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:46:43.116726Z"},"content_sha256":"14020ac9e719df7022201394aea1961b714983e1453019ca98f6ea07e459fe91","schema_version":"1.0","event_id":"sha256:14020ac9e719df7022201394aea1961b714983e1453019ca98f6ea07e459fe91"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW/bundle.json","state_url":"https://pith.science/pith/GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW/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":"2026-06-01T12:46:43Z","links":{"resolver":"https://pith.science/pith/GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW","bundle":"https://pith.science/pith/GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW/bundle.json","state":"https://pith.science/pith/GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GH6UPXJTG4QFJ2Q4WG3IQ7ZDWW","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":"3bed381bcebc33523eb6103c65d007b1bd98d05cc5d136bdb2d95533927e659f","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-11T11:13:22Z","title_canon_sha256":"8d028ca197edd9fe2d0f0272ec90006f1fabf0a2bcb3928ddcf50079fbd68c15"},"schema_version":"1.0","source":{"id":"1102.2326","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2326","created_at":"2026-05-18T04:15:05Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2326v2","created_at":"2026-05-18T04:15:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2326","created_at":"2026-05-18T04:15:05Z"},{"alias_kind":"pith_short_12","alias_value":"GH6UPXJTG4QF","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"GH6UPXJTG4QFJ2Q4","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"GH6UPXJT","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:14020ac9e719df7022201394aea1961b714983e1453019ca98f6ea07e459fe91","target":"graph","created_at":"2026-05-18T04:15:05Z","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":"Verlinde recently suggested that gravity, inertia, and even spacetime may be emergent properties of an underlying thermodynamic theory. This vision was motivated in part by Jacobson's 1995 surprise result that the Einstein equations of gravity follow from the thermodynamic properties of event horizons. Taking a first tentative step in such a program, we derive the evaporation rate (or radiation spectrum) from black hole event horizons in a spacetime-free manner. Our result relies on a Hilbert space description of black hole evaporation, symmetries therein which follow from the inherent high di","authors_text":"Manas K. Patra, Samuel L. Braunstein","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-11T11:13:22Z","title":"Black hole evaporation rates without spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2326","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":"sha256:83f980aa64ce67ba32e35fb6c0a68ca1d9f59730f58c1892352a02d6d9e4d94a","target":"record","created_at":"2026-05-18T04:15:05Z","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":"3bed381bcebc33523eb6103c65d007b1bd98d05cc5d136bdb2d95533927e659f","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-11T11:13:22Z","title_canon_sha256":"8d028ca197edd9fe2d0f0272ec90006f1fabf0a2bcb3928ddcf50079fbd68c15"},"schema_version":"1.0","source":{"id":"1102.2326","kind":"arxiv","version":2}},"canonical_sha256":"31fd47dd33372054ea1cb1b6887f23b59330d72bb065663ff546ae5c2b638266","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31fd47dd33372054ea1cb1b6887f23b59330d72bb065663ff546ae5c2b638266","first_computed_at":"2026-05-18T04:15:05.491949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:05.491949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dwoUD5U8DXmWhwKscG5Yfp8Fyk7+LbJiaGoSNUobCuQCAPY4RLz0PrGJDdkc01VsR//pGmdX26zsVARM8rtXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:05.492691Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.2326","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83f980aa64ce67ba32e35fb6c0a68ca1d9f59730f58c1892352a02d6d9e4d94a","sha256:14020ac9e719df7022201394aea1961b714983e1453019ca98f6ea07e459fe91"],"state_sha256":"f8ce2112723628a1e27124ca878a710dee5e9496c16718a3cd8b364283744df1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"096WPooZkIPnAJ5G5hMTXtBrrAOTBlNdZxtzfEpxuWWWKnT5OifNpk7JpSSPj0aWDJOn7r17y99HlVm2syKLDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:46:43.118905Z","bundle_sha256":"f16eeaeb61c4b52793d1b49bbf16509dfed22e19b910f31431bb2306f111cc77"}}