{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:EZNFCAH7XDKI7JMMWDZADPYZEJ","short_pith_number":"pith:EZNFCAH7","canonical_record":{"source":{"id":"2103.10100","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-03-18T09:24:20Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"3e3440db273951e3ff03896c7c3f9784133aee9bc9065f03f1d87b793ec27d22","abstract_canon_sha256":"c0ecf1e6abc3a0a2873926c905942816ff2af3ad5e98605afd82b0a46452a891"},"schema_version":"1.0"},"canonical_sha256":"265a5100ffb8d48fa58cb0f201bf192278b0f352b0cd97ec5e982efd7a49b673","source":{"kind":"arxiv","id":"2103.10100","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.10100","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"arxiv_version","alias_value":"2103.10100v1","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.10100","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"pith_short_12","alias_value":"EZNFCAH7XDKI","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"pith_short_16","alias_value":"EZNFCAH7XDKI7JMM","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"pith_short_8","alias_value":"EZNFCAH7","created_at":"2026-07-05T02:42:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:EZNFCAH7XDKI7JMMWDZADPYZEJ","target":"record","payload":{"canonical_record":{"source":{"id":"2103.10100","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-03-18T09:24:20Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"3e3440db273951e3ff03896c7c3f9784133aee9bc9065f03f1d87b793ec27d22","abstract_canon_sha256":"c0ecf1e6abc3a0a2873926c905942816ff2af3ad5e98605afd82b0a46452a891"},"schema_version":"1.0"},"canonical_sha256":"265a5100ffb8d48fa58cb0f201bf192278b0f352b0cd97ec5e982efd7a49b673","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:42:49.801035Z","signature_b64":"4+KusBJP5BO+17vgLlPSzhfE3WCFRsCTNpXpqBs83ogvjqzj/i3eAQAZVh079XpPNu7mBg5ccDMZW3pwy7TmCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"265a5100ffb8d48fa58cb0f201bf192278b0f352b0cd97ec5e982efd7a49b673","last_reissued_at":"2026-07-05T02:42:49.800531Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:42:49.800531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.10100","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":"2026-07-05T02:42:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7N0SGTapD7W+OAxhapPsaXF0GK1cCiyNLl97rkh00y3TWE3I3SsAQ0A77B5RlEINpbhw/Mp1z1ESW2+Br0SNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:47:51.001561Z"},"content_sha256":"ce2d6c854ef643df7da4aa0a24743db97ab518e106e027716a58e72d8a5f655c","schema_version":"1.0","event_id":"sha256:ce2d6c854ef643df7da4aa0a24743db97ab518e106e027716a58e72d8a5f655c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:EZNFCAH7XDKI7JMMWDZADPYZEJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic spin sum rules and the role of the pivot","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"C\\'edric Lorc\\'e (Ecole polytechnique, CPHT)","submitted_at":"2021-03-18T09:24:20Z","abstract_excerpt":"Spin sum rules depend on the choice of a pivot, i.e. the point about which the angular momentun is defined, usually identified with the center of the nucleon. The latter is however not unique in a relativistic theory and has led to apparently contradictory results in the literature. Using the recently developed phase-space approach, we compute for the first time the contribution associated with the motion of the center of the nucleon, and we derive a general spin sum rule which reduces to established results after appropriate choices for the pivot and the spin component."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.10100","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.10100/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":"2026-07-05T02:42:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijcY7Ti2qjqYCfS30YTUNvYQHq/K56P/Xe8OuB/xEn4PLiIozfZ2bNyYeaWKDNrSOKIbTbOKGLFp2+ODEFR2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:47:51.001941Z"},"content_sha256":"f0d227954edf31ee746aacdb7a031bc4dd326a36b6f0c9e7ebd220c852cd4512","schema_version":"1.0","event_id":"sha256:f0d227954edf31ee746aacdb7a031bc4dd326a36b6f0c9e7ebd220c852cd4512"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZNFCAH7XDKI7JMMWDZADPYZEJ/bundle.json","state_url":"https://pith.science/pith/EZNFCAH7XDKI7JMMWDZADPYZEJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZNFCAH7XDKI7JMMWDZADPYZEJ/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":"2026-08-04T04:47:51Z","links":{"resolver":"https://pith.science/pith/EZNFCAH7XDKI7JMMWDZADPYZEJ","bundle":"https://pith.science/pith/EZNFCAH7XDKI7JMMWDZADPYZEJ/bundle.json","state":"https://pith.science/pith/EZNFCAH7XDKI7JMMWDZADPYZEJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZNFCAH7XDKI7JMMWDZADPYZEJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:EZNFCAH7XDKI7JMMWDZADPYZEJ","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":"c0ecf1e6abc3a0a2873926c905942816ff2af3ad5e98605afd82b0a46452a891","cross_cats_sorted":["nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-03-18T09:24:20Z","title_canon_sha256":"3e3440db273951e3ff03896c7c3f9784133aee9bc9065f03f1d87b793ec27d22"},"schema_version":"1.0","source":{"id":"2103.10100","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.10100","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"arxiv_version","alias_value":"2103.10100v1","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.10100","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"pith_short_12","alias_value":"EZNFCAH7XDKI","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"pith_short_16","alias_value":"EZNFCAH7XDKI7JMM","created_at":"2026-07-05T02:42:49Z"},{"alias_kind":"pith_short_8","alias_value":"EZNFCAH7","created_at":"2026-07-05T02:42:49Z"}],"graph_snapshots":[{"event_id":"sha256:f0d227954edf31ee746aacdb7a031bc4dd326a36b6f0c9e7ebd220c852cd4512","target":"graph","created_at":"2026-07-05T02:42:49Z","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/2103.10100/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Spin sum rules depend on the choice of a pivot, i.e. the point about which the angular momentun is defined, usually identified with the center of the nucleon. The latter is however not unique in a relativistic theory and has led to apparently contradictory results in the literature. Using the recently developed phase-space approach, we compute for the first time the contribution associated with the motion of the center of the nucleon, and we derive a general spin sum rule which reduces to established results after appropriate choices for the pivot and the spin component.","authors_text":"C\\'edric Lorc\\'e (Ecole polytechnique, CPHT)","cross_cats":["nucl-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-03-18T09:24:20Z","title":"Relativistic spin sum rules and the role of the pivot"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.10100","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:ce2d6c854ef643df7da4aa0a24743db97ab518e106e027716a58e72d8a5f655c","target":"record","created_at":"2026-07-05T02:42:49Z","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":"c0ecf1e6abc3a0a2873926c905942816ff2af3ad5e98605afd82b0a46452a891","cross_cats_sorted":["nucl-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-03-18T09:24:20Z","title_canon_sha256":"3e3440db273951e3ff03896c7c3f9784133aee9bc9065f03f1d87b793ec27d22"},"schema_version":"1.0","source":{"id":"2103.10100","kind":"arxiv","version":1}},"canonical_sha256":"265a5100ffb8d48fa58cb0f201bf192278b0f352b0cd97ec5e982efd7a49b673","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"265a5100ffb8d48fa58cb0f201bf192278b0f352b0cd97ec5e982efd7a49b673","first_computed_at":"2026-07-05T02:42:49.800531Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:42:49.800531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4+KusBJP5BO+17vgLlPSzhfE3WCFRsCTNpXpqBs83ogvjqzj/i3eAQAZVh079XpPNu7mBg5ccDMZW3pwy7TmCg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:42:49.801035Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.10100","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce2d6c854ef643df7da4aa0a24743db97ab518e106e027716a58e72d8a5f655c","sha256:f0d227954edf31ee746aacdb7a031bc4dd326a36b6f0c9e7ebd220c852cd4512"],"state_sha256":"1dd88a4e4369bb11097311adb9a985e096df8d6575cac60641ea1a46cd618fbe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oWSRtPIIRZWw8WPa6nS//RWJrS5ZHeOobVo+HYWumoRo5qPSt8NwVth5+a7Yiqde/K1UZKj6Vms28APwL3ZaCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T04:47:51.004384Z","bundle_sha256":"3882ce72ef4edeaf05eaea6b9c8824993840780fd1b7663ad9392e25be5efdcf"}}