{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:AWTLVYSLSMHASG6UIGGPEKJIAH","short_pith_number":"pith:AWTLVYSL","canonical_record":{"source":{"id":"1901.11066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-01-17T16:41:59Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ced8f8bf65d3e61f97687260ab171ac84f95ef69b9f1e4a02fbc5165bfaa7f4a","abstract_canon_sha256":"75218a3001a8c2b86f2d06838fcd2c35ecc16eca06d59f857a0f9ae13bc75e44"},"schema_version":"1.0"},"canonical_sha256":"05a6bae24b930e091bd4418cf2292801c6bbcd573f92f54a996794dfbf414e07","source":{"kind":"arxiv","id":"1901.11066","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.11066","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1901.11066v1","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.11066","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"AWTLVYSLSMHA","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AWTLVYSLSMHASG6U","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AWTLVYSL","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:AWTLVYSLSMHASG6UIGGPEKJIAH","target":"record","payload":{"canonical_record":{"source":{"id":"1901.11066","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-01-17T16:41:59Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ced8f8bf65d3e61f97687260ab171ac84f95ef69b9f1e4a02fbc5165bfaa7f4a","abstract_canon_sha256":"75218a3001a8c2b86f2d06838fcd2c35ecc16eca06d59f857a0f9ae13bc75e44"},"schema_version":"1.0"},"canonical_sha256":"05a6bae24b930e091bd4418cf2292801c6bbcd573f92f54a996794dfbf414e07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:02.733633Z","signature_b64":"FpE3tAHi4NiCnUNZNsmHZialgLozM2nsFRH2h23ME0z7Zaco8+w+9iSwSMbncvupDeSk/qHLea4dToCvTDbqAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05a6bae24b930e091bd4418cf2292801c6bbcd573f92f54a996794dfbf414e07","last_reissued_at":"2026-05-17T23:55:02.733009Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:02.733009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.11066","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":"2026-05-17T23:55:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QS6A3RcU/G6e1Iej3LPdJYe5Se546cWMgz6bwFhBZC6aq0MhbPnH5J1EjZvq72QlURNzPDyjI44RpI66PerHDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:22:07.818701Z"},"content_sha256":"cc9382efb9c8bfe6cc0733a0726c0e535509ec76ec2f4f77eec721eeb48bde79","schema_version":"1.0","event_id":"sha256:cc9382efb9c8bfe6cc0733a0726c0e535509ec76ec2f4f77eec721eeb48bde79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:AWTLVYSLSMHASG6UIGGPEKJIAH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical Mechanics and the Ghosts of Departed Quantities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.hist-ph","authors_text":"G. N. Ord","submitted_at":"2019-01-17T16:41:59Z","abstract_excerpt":"Quantum mechanics appears to contain ghosts from both classical statistical mechanics and special relativity. On one hand, both the Dirac and Schr\\\"{o}dinger equations have classical analogs that emerge directly from classical statistical mechanics, unimpeded by major problems of interpretation. On the other hand, the formal analytic continuation that takes these classical equations to the quantum version introduces a velocity dependent phase. However, among classical theories, only in relativistic mechanics does one find path-dependent phase in the form of relativistic time dilation. This pap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.11066","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":"2026-05-17T23:55:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRFkt+wH0QQCGu991bHwwzscDcaisyXNesklQVmwp2aqfm8HsLFjQAzqiv+QdiBQN44hkpFIrMQan/QH2fEZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:22:07.819051Z"},"content_sha256":"f38dc1b7fd2e0d3001766bbf90457f65fd50414e824fba4cf52c8f3ca8a203dc","schema_version":"1.0","event_id":"sha256:f38dc1b7fd2e0d3001766bbf90457f65fd50414e824fba4cf52c8f3ca8a203dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AWTLVYSLSMHASG6UIGGPEKJIAH/bundle.json","state_url":"https://pith.science/pith/AWTLVYSLSMHASG6UIGGPEKJIAH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AWTLVYSLSMHASG6UIGGPEKJIAH/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":"2026-06-24T20:22:07Z","links":{"resolver":"https://pith.science/pith/AWTLVYSLSMHASG6UIGGPEKJIAH","bundle":"https://pith.science/pith/AWTLVYSLSMHASG6UIGGPEKJIAH/bundle.json","state":"https://pith.science/pith/AWTLVYSLSMHASG6UIGGPEKJIAH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AWTLVYSLSMHASG6UIGGPEKJIAH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AWTLVYSLSMHASG6UIGGPEKJIAH","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":"75218a3001a8c2b86f2d06838fcd2c35ecc16eca06d59f857a0f9ae13bc75e44","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-01-17T16:41:59Z","title_canon_sha256":"ced8f8bf65d3e61f97687260ab171ac84f95ef69b9f1e4a02fbc5165bfaa7f4a"},"schema_version":"1.0","source":{"id":"1901.11066","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.11066","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1901.11066v1","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.11066","created_at":"2026-05-17T23:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"AWTLVYSLSMHA","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AWTLVYSLSMHASG6U","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AWTLVYSL","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:f38dc1b7fd2e0d3001766bbf90457f65fd50414e824fba4cf52c8f3ca8a203dc","target":"graph","created_at":"2026-05-17T23:55:02Z","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":"Quantum mechanics appears to contain ghosts from both classical statistical mechanics and special relativity. On one hand, both the Dirac and Schr\\\"{o}dinger equations have classical analogs that emerge directly from classical statistical mechanics, unimpeded by major problems of interpretation. On the other hand, the formal analytic continuation that takes these classical equations to the quantum version introduces a velocity dependent phase. However, among classical theories, only in relativistic mechanics does one find path-dependent phase in the form of relativistic time dilation. This pap","authors_text":"G. N. Ord","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-01-17T16:41:59Z","title":"Statistical Mechanics and the Ghosts of Departed Quantities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.11066","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:cc9382efb9c8bfe6cc0733a0726c0e535509ec76ec2f4f77eec721eeb48bde79","target":"record","created_at":"2026-05-17T23:55:02Z","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":"75218a3001a8c2b86f2d06838fcd2c35ecc16eca06d59f857a0f9ae13bc75e44","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-01-17T16:41:59Z","title_canon_sha256":"ced8f8bf65d3e61f97687260ab171ac84f95ef69b9f1e4a02fbc5165bfaa7f4a"},"schema_version":"1.0","source":{"id":"1901.11066","kind":"arxiv","version":1}},"canonical_sha256":"05a6bae24b930e091bd4418cf2292801c6bbcd573f92f54a996794dfbf414e07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05a6bae24b930e091bd4418cf2292801c6bbcd573f92f54a996794dfbf414e07","first_computed_at":"2026-05-17T23:55:02.733009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:02.733009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FpE3tAHi4NiCnUNZNsmHZialgLozM2nsFRH2h23ME0z7Zaco8+w+9iSwSMbncvupDeSk/qHLea4dToCvTDbqAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:02.733633Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.11066","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc9382efb9c8bfe6cc0733a0726c0e535509ec76ec2f4f77eec721eeb48bde79","sha256:f38dc1b7fd2e0d3001766bbf90457f65fd50414e824fba4cf52c8f3ca8a203dc"],"state_sha256":"06d8f2c1a9a3e0d8a26d5714c50915cc883ea6133fa15ce8be3592027fc34d28"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZhdjGlqn0TYUPxOVLnvyCXLsQknpZpBBPVxIW6L99Z3f7No8Y2Nk0slEV+4ONTU+7bOgB1kXpDhjqF/Fmt/uBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T20:22:07.821161Z","bundle_sha256":"0dd3c0bca31ebd00b8ff83c9ed0518a112c31b6b4318513325fe58cdbb71df91"}}