{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XLE22BDVLLYMOMBEC4PYYE6LZR","short_pith_number":"pith:XLE22BDV","canonical_record":{"source":{"id":"1302.4924","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-20T15:08:40Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.chem-ph","quant-ph"],"title_canon_sha256":"94e9066aecb373f7e7acd6a43a8b71ded9042dad2de6b4f37cb4d6c2b33ad3b7","abstract_canon_sha256":"2c825703ade76aa0c8270e2feb6becd6015d7f32a0270d392a392fc1f024b230"},"schema_version":"1.0"},"canonical_sha256":"bac9ad04755af0c73024171f8c13cbcc6e6e29aa68c161c2db417b96260cb1a8","source":{"kind":"arxiv","id":"1302.4924","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4924","created_at":"2026-05-18T03:16:26Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4924v2","created_at":"2026-05-18T03:16:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4924","created_at":"2026-05-18T03:16:26Z"},{"alias_kind":"pith_short_12","alias_value":"XLE22BDVLLYM","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XLE22BDVLLYMOMBE","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XLE22BDV","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XLE22BDVLLYMOMBEC4PYYE6LZR","target":"record","payload":{"canonical_record":{"source":{"id":"1302.4924","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-20T15:08:40Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.chem-ph","quant-ph"],"title_canon_sha256":"94e9066aecb373f7e7acd6a43a8b71ded9042dad2de6b4f37cb4d6c2b33ad3b7","abstract_canon_sha256":"2c825703ade76aa0c8270e2feb6becd6015d7f32a0270d392a392fc1f024b230"},"schema_version":"1.0"},"canonical_sha256":"bac9ad04755af0c73024171f8c13cbcc6e6e29aa68c161c2db417b96260cb1a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:26.874282Z","signature_b64":"UBuEnxE0LuTJd4jyJd/n+bb0PMWNPT+y/wJjxsY2wRsbdXvAOhKA4EbqnjUwcEovnG0DzY43JWembxXtm0TFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bac9ad04755af0c73024171f8c13cbcc6e6e29aa68c161c2db417b96260cb1a8","last_reissued_at":"2026-05-18T03:16:26.873780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:26.873780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.4924","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":"2026-05-18T03:16:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6R2pegDObM0cZDhayJElu14CHAyLC7Wf157OlxHKSZ6KeO+KgDpQrJBqWeuciR8gTHDDvNisPuZWtploXJjyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:21:07.902391Z"},"content_sha256":"391b4034c60c15a8a800c51abbcf8b1ea4fbf60eab458342497fb54fb5a162ba","schema_version":"1.0","event_id":"sha256:391b4034c60c15a8a800c51abbcf8b1ea4fbf60eab458342497fb54fb5a162ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XLE22BDVLLYMOMBEC4PYYE6LZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Entropic Ambiguities: Ethylene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","physics.chem-ph","quant-ph"],"primary_cat":"hep-th","authors_text":"Amilcar R. de Queiroz, A. P. Balachandran, S. Vaidya","submitted_at":"2013-02-20T15:08:40Z","abstract_excerpt":"In a quantum system, there may be many density matrices associated with a state on an algebra of observables. For each density matrix, one can compute its entropy. These are in general different. Therefore one reaches the remarkable possibility that there may be many entropies for a given state [Private communication from R. Sorkin]. This ambiguity in entropy can often be traced to a gauge symmetry emergent from the non-trivial topological character of the configuration space of the underlying system. It can also happen in finite-dimensional matrix models. In the present work, we discuss this "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4924","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":"2026-05-18T03:16:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G7JyHDZoPciEbF+jUJFGzSfqWfoaclow4hJbI9SlzjNA+lWddO+gHub1Sjf9jH5UgBZkT/qqSOkMnl4/91I8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:21:07.902746Z"},"content_sha256":"5fcaab1be785ecd3d787db004dc1bb24343a8fa83be5113ed9da1c4519769945","schema_version":"1.0","event_id":"sha256:5fcaab1be785ecd3d787db004dc1bb24343a8fa83be5113ed9da1c4519769945"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XLE22BDVLLYMOMBEC4PYYE6LZR/bundle.json","state_url":"https://pith.science/pith/XLE22BDVLLYMOMBEC4PYYE6LZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XLE22BDVLLYMOMBEC4PYYE6LZR/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":"2026-05-20T08:21:07Z","links":{"resolver":"https://pith.science/pith/XLE22BDVLLYMOMBEC4PYYE6LZR","bundle":"https://pith.science/pith/XLE22BDVLLYMOMBEC4PYYE6LZR/bundle.json","state":"https://pith.science/pith/XLE22BDVLLYMOMBEC4PYYE6LZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XLE22BDVLLYMOMBEC4PYYE6LZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XLE22BDVLLYMOMBEC4PYYE6LZR","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":"2c825703ade76aa0c8270e2feb6becd6015d7f32a0270d392a392fc1f024b230","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.chem-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-20T15:08:40Z","title_canon_sha256":"94e9066aecb373f7e7acd6a43a8b71ded9042dad2de6b4f37cb4d6c2b33ad3b7"},"schema_version":"1.0","source":{"id":"1302.4924","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4924","created_at":"2026-05-18T03:16:26Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4924v2","created_at":"2026-05-18T03:16:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4924","created_at":"2026-05-18T03:16:26Z"},{"alias_kind":"pith_short_12","alias_value":"XLE22BDVLLYM","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XLE22BDVLLYMOMBE","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XLE22BDV","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:5fcaab1be785ecd3d787db004dc1bb24343a8fa83be5113ed9da1c4519769945","target":"graph","created_at":"2026-05-18T03:16:26Z","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":"In a quantum system, there may be many density matrices associated with a state on an algebra of observables. For each density matrix, one can compute its entropy. These are in general different. Therefore one reaches the remarkable possibility that there may be many entropies for a given state [Private communication from R. Sorkin]. This ambiguity in entropy can often be traced to a gauge symmetry emergent from the non-trivial topological character of the configuration space of the underlying system. It can also happen in finite-dimensional matrix models. In the present work, we discuss this ","authors_text":"Amilcar R. de Queiroz, A. P. Balachandran, S. Vaidya","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","physics.chem-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-20T15:08:40Z","title":"Quantum Entropic Ambiguities: Ethylene"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4924","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":"sha256:391b4034c60c15a8a800c51abbcf8b1ea4fbf60eab458342497fb54fb5a162ba","target":"record","created_at":"2026-05-18T03:16:26Z","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":"2c825703ade76aa0c8270e2feb6becd6015d7f32a0270d392a392fc1f024b230","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.chem-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-20T15:08:40Z","title_canon_sha256":"94e9066aecb373f7e7acd6a43a8b71ded9042dad2de6b4f37cb4d6c2b33ad3b7"},"schema_version":"1.0","source":{"id":"1302.4924","kind":"arxiv","version":2}},"canonical_sha256":"bac9ad04755af0c73024171f8c13cbcc6e6e29aa68c161c2db417b96260cb1a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bac9ad04755af0c73024171f8c13cbcc6e6e29aa68c161c2db417b96260cb1a8","first_computed_at":"2026-05-18T03:16:26.873780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:26.873780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UBuEnxE0LuTJd4jyJd/n+bb0PMWNPT+y/wJjxsY2wRsbdXvAOhKA4EbqnjUwcEovnG0DzY43JWembxXtm0TFCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:26.874282Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4924","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:391b4034c60c15a8a800c51abbcf8b1ea4fbf60eab458342497fb54fb5a162ba","sha256:5fcaab1be785ecd3d787db004dc1bb24343a8fa83be5113ed9da1c4519769945"],"state_sha256":"0e230f3249ee152f5fc5b032bb28eff5f993961e65733c068e92cfde4ff23e99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/UiDQ+k9aYwjhdmniujyJDKyj4AEJCC9yv6xKn+zzR67F9tPQ5phLEKqy2X/LM1L3F9gtOnA0Oan3T/k/136Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T08:21:07.904845Z","bundle_sha256":"6c9b3922a384b05dcbccb82128a768e4b941a1817b7a44edc62be26be31cf05d"}}