{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:2YEVPHOFF2KN7FN2QLW35BHG5S","short_pith_number":"pith:2YEVPHOF","canonical_record":{"source":{"id":"1212.2332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-11T08:48:40Z","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"title_canon_sha256":"904375952364a015bec2736ddf9b95598c403f798183a26851a9eba270fe6792","abstract_canon_sha256":"ecfc746358478cbb0b8836632517d9e6316e043cdec6f9c2ddbac089de1a20ba"},"schema_version":"1.0"},"canonical_sha256":"d609579dc52e94df95ba82edbe84e6ec87fd4752c8c630eaf6555cbe52f15b19","source":{"kind":"arxiv","id":"1212.2332","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2332","created_at":"2026-05-18T01:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2332v1","created_at":"2026-05-18T01:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2332","created_at":"2026-05-18T01:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"2YEVPHOFF2KN","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2YEVPHOFF2KN7FN2","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2YEVPHOF","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:2YEVPHOFF2KN7FN2QLW35BHG5S","target":"record","payload":{"canonical_record":{"source":{"id":"1212.2332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-11T08:48:40Z","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"title_canon_sha256":"904375952364a015bec2736ddf9b95598c403f798183a26851a9eba270fe6792","abstract_canon_sha256":"ecfc746358478cbb0b8836632517d9e6316e043cdec6f9c2ddbac089de1a20ba"},"schema_version":"1.0"},"canonical_sha256":"d609579dc52e94df95ba82edbe84e6ec87fd4752c8c630eaf6555cbe52f15b19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:40.207913Z","signature_b64":"p4a9oTmR+nUt8WkE+53ljhiQfn8WZ5KgWFPCmKkvYOSg34dRlFsA8FssQ/3DLTnFosBnLz3dLI6FzITY1OKyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d609579dc52e94df95ba82edbe84e6ec87fd4752c8c630eaf6555cbe52f15b19","last_reissued_at":"2026-05-18T01:52:40.207415Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:40.207415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.2332","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qUoGEHgWR6IDbBjMdJtFXkM/MmHjeigOsWmFwrtWTgLsmwRjaYzKGLgv54WKM9wQr6MUWIB00PsiSH4KUxaAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:15:57.037670Z"},"content_sha256":"9fb633bf7ba8631f58ba967d9d0774dfc2d690500744c485658f6999a219358f","schema_version":"1.0","event_id":"sha256:9fb633bf7ba8631f58ba967d9d0774dfc2d690500744c485658f6999a219358f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:2YEVPHOFF2KN7FN2QLW35BHG5S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inferences about Interactions: Fermions and the Dirac Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Kevin H. Knuth","submitted_at":"2012-12-11T08:48:40Z","abstract_excerpt":"At a fundamental level every measurement process relies on an interaction where one entity influences another. The boundary of an interaction is given by a pair of events, which can be ordered by virtue of the interaction. This results in a partially ordered set (poset) of events often referred to as a causal set. In this framework, an observer can be represented by a chain of events. Quantification of events and pairs of events, referred to as intervals, can be performed by projecting them onto an observer chain, or even a pair of observer chains, which in specific situations leads to a Minko"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2332","kind":"arxiv","version":1},"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":"2026-05-18T01:52:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6fY1CwJgifrL/78S7dK+y6l/aIsk+9ajxGzcHqFIxwyKQgwnHBNbVjFH1LP0S+LQKPVFPaGyuQKuYMJxwCVfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T05:15:57.038043Z"},"content_sha256":"6d6e61a888d60281b19ae1206d9d37914f677fa7ab4d7a9e776b62e7a74d1219","schema_version":"1.0","event_id":"sha256:6d6e61a888d60281b19ae1206d9d37914f677fa7ab4d7a9e776b62e7a74d1219"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YEVPHOFF2KN7FN2QLW35BHG5S/bundle.json","state_url":"https://pith.science/pith/2YEVPHOFF2KN7FN2QLW35BHG5S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YEVPHOFF2KN7FN2QLW35BHG5S/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":"2026-06-01T05:15:57Z","links":{"resolver":"https://pith.science/pith/2YEVPHOFF2KN7FN2QLW35BHG5S","bundle":"https://pith.science/pith/2YEVPHOFF2KN7FN2QLW35BHG5S/bundle.json","state":"https://pith.science/pith/2YEVPHOFF2KN7FN2QLW35BHG5S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YEVPHOFF2KN7FN2QLW35BHG5S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2YEVPHOFF2KN7FN2QLW35BHG5S","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":"ecfc746358478cbb0b8836632517d9e6316e043cdec6f9c2ddbac089de1a20ba","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-11T08:48:40Z","title_canon_sha256":"904375952364a015bec2736ddf9b95598c403f798183a26851a9eba270fe6792"},"schema_version":"1.0","source":{"id":"1212.2332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2332","created_at":"2026-05-18T01:52:40Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2332v1","created_at":"2026-05-18T01:52:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2332","created_at":"2026-05-18T01:52:40Z"},{"alias_kind":"pith_short_12","alias_value":"2YEVPHOFF2KN","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2YEVPHOFF2KN7FN2","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2YEVPHOF","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:6d6e61a888d60281b19ae1206d9d37914f677fa7ab4d7a9e776b62e7a74d1219","target":"graph","created_at":"2026-05-18T01:52:40Z","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":"At a fundamental level every measurement process relies on an interaction where one entity influences another. The boundary of an interaction is given by a pair of events, which can be ordered by virtue of the interaction. This results in a partially ordered set (poset) of events often referred to as a causal set. In this framework, an observer can be represented by a chain of events. Quantification of events and pairs of events, referred to as intervals, can be performed by projecting them onto an observer chain, or even a pair of observer chains, which in specific situations leads to a Minko","authors_text":"Kevin H. Knuth","cross_cats":["gr-qc","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-11T08:48:40Z","title":"Inferences about Interactions: Fermions and the Dirac Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2332","kind":"arxiv","version":1},"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":"sha256:9fb633bf7ba8631f58ba967d9d0774dfc2d690500744c485658f6999a219358f","target":"record","created_at":"2026-05-18T01:52:40Z","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":"ecfc746358478cbb0b8836632517d9e6316e043cdec6f9c2ddbac089de1a20ba","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-12-11T08:48:40Z","title_canon_sha256":"904375952364a015bec2736ddf9b95598c403f798183a26851a9eba270fe6792"},"schema_version":"1.0","source":{"id":"1212.2332","kind":"arxiv","version":1}},"canonical_sha256":"d609579dc52e94df95ba82edbe84e6ec87fd4752c8c630eaf6555cbe52f15b19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d609579dc52e94df95ba82edbe84e6ec87fd4752c8c630eaf6555cbe52f15b19","first_computed_at":"2026-05-18T01:52:40.207415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:40.207415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p4a9oTmR+nUt8WkE+53ljhiQfn8WZ5KgWFPCmKkvYOSg34dRlFsA8FssQ/3DLTnFosBnLz3dLI6FzITY1OKyDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:40.207913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fb633bf7ba8631f58ba967d9d0774dfc2d690500744c485658f6999a219358f","sha256:6d6e61a888d60281b19ae1206d9d37914f677fa7ab4d7a9e776b62e7a74d1219"],"state_sha256":"cb8d19e9e47657e166c15ad5bb66c6a1b07a956ec40d414f27b69f102e61d924"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BoNKcr0euWfG5SqtZLvVcIVVYoC8Cmu60lPBtb7ZhLsoluCANXQQ9SV1lQmgInFSdOt340aObSltFAB+qTWPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T05:15:57.040193Z","bundle_sha256":"860a324618f4ef3536dba5984a90aeaca58574044dfd8bf900ebc86d5c899605"}}