{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:R5USZJTLXOK7P5LHYWREMTNXHO","short_pith_number":"pith:R5USZJTL","canonical_record":{"source":{"id":"1205.0156","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-01T13:26:53Z","cross_cats_sorted":[],"title_canon_sha256":"a5e6c90d47010a28ca41493a297c71c5bd261b38304a2b0c8f429732c6ce0ffe","abstract_canon_sha256":"2e07881ace1e9ef1df3ca80221340189e3c831820303fda7b6f04798d109acfd"},"schema_version":"1.0"},"canonical_sha256":"8f692ca66bbb95f7f567c5a2464db73bac58e7ac44de92e542bef9350f057d8d","source":{"kind":"arxiv","id":"1205.0156","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0156","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0156v4","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0156","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"R5USZJTLXOK7","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R5USZJTLXOK7P5LH","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R5USZJTL","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:R5USZJTLXOK7P5LHYWREMTNXHO","target":"record","payload":{"canonical_record":{"source":{"id":"1205.0156","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-01T13:26:53Z","cross_cats_sorted":[],"title_canon_sha256":"a5e6c90d47010a28ca41493a297c71c5bd261b38304a2b0c8f429732c6ce0ffe","abstract_canon_sha256":"2e07881ace1e9ef1df3ca80221340189e3c831820303fda7b6f04798d109acfd"},"schema_version":"1.0"},"canonical_sha256":"8f692ca66bbb95f7f567c5a2464db73bac58e7ac44de92e542bef9350f057d8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:41.891291Z","signature_b64":"9HgIQKDdv7JLByUaDCepcUeOXppmR8AzjVUaLAa5RKlzs8Y6URycX4aHtR8PlKPdh5anFL8kgMPBuwSu2GYSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f692ca66bbb95f7f567c5a2464db73bac58e7ac44de92e542bef9350f057d8d","last_reissued_at":"2026-05-18T01:57:41.890668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:41.890668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.0156","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z5b+1kO87QjpQzMoab7GrEDMsEY/L11L/s56rD83A/ify9A6zNvrceZEyojyvQFHJ8SpIXuNSUG748ATUzRsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:43:17.724682Z"},"content_sha256":"1321d6c2961ad5f3d1703f7e0c1136c85860206cadff542467a061000a84f886","schema_version":"1.0","event_id":"sha256:1321d6c2961ad5f3d1703f7e0c1136c85860206cadff542467a061000a84f886"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:R5USZJTLXOK7P5LHYWREMTNXHO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gluon Spin, Canonical Momentum, and Gauge Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Xiangdong Ji, Yang Xu, Yong Zhao","submitted_at":"2012-05-01T13:26:53Z","abstract_excerpt":"It is well known that in gauge theories, the spin (and orbital angular momentum) of gauge particles is not gauge invariant, although the helicity is; neither are the canonical momentum and canonical angular momentum of charged particles. However, the simple appeal of these concepts has motivated repeated attempts to resurrect them as physical descriptions of gauge systems. In particular, measurability of the gluon-spin-contribution to the proton helicity in polarized proton scattering has generated many theoretical efforts in generalizing it and others as gauge-invariant quantities. In this wo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0156","kind":"arxiv","version":4},"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":"2026-05-18T01:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ZeI4JMhcOtjhz1aKatJFhBYk/LvixB/+kcOIV5ME/7OfuQaUHLgOQrkspowFquB4VHb3ad8S4QQP3U7bcpDDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:43:17.725019Z"},"content_sha256":"33a976282f9e09e7e9b9d140589fe49ee93a1a9565f0e58fd8063e5fc4709ff0","schema_version":"1.0","event_id":"sha256:33a976282f9e09e7e9b9d140589fe49ee93a1a9565f0e58fd8063e5fc4709ff0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R5USZJTLXOK7P5LHYWREMTNXHO/bundle.json","state_url":"https://pith.science/pith/R5USZJTLXOK7P5LHYWREMTNXHO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R5USZJTLXOK7P5LHYWREMTNXHO/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":"2026-06-05T01:43:17Z","links":{"resolver":"https://pith.science/pith/R5USZJTLXOK7P5LHYWREMTNXHO","bundle":"https://pith.science/pith/R5USZJTLXOK7P5LHYWREMTNXHO/bundle.json","state":"https://pith.science/pith/R5USZJTLXOK7P5LHYWREMTNXHO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R5USZJTLXOK7P5LHYWREMTNXHO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:R5USZJTLXOK7P5LHYWREMTNXHO","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":"2e07881ace1e9ef1df3ca80221340189e3c831820303fda7b6f04798d109acfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-01T13:26:53Z","title_canon_sha256":"a5e6c90d47010a28ca41493a297c71c5bd261b38304a2b0c8f429732c6ce0ffe"},"schema_version":"1.0","source":{"id":"1205.0156","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0156","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0156v4","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0156","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"R5USZJTLXOK7","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"R5USZJTLXOK7P5LH","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"R5USZJTL","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:33a976282f9e09e7e9b9d140589fe49ee93a1a9565f0e58fd8063e5fc4709ff0","target":"graph","created_at":"2026-05-18T01:57:41Z","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":"It is well known that in gauge theories, the spin (and orbital angular momentum) of gauge particles is not gauge invariant, although the helicity is; neither are the canonical momentum and canonical angular momentum of charged particles. However, the simple appeal of these concepts has motivated repeated attempts to resurrect them as physical descriptions of gauge systems. In particular, measurability of the gluon-spin-contribution to the proton helicity in polarized proton scattering has generated many theoretical efforts in generalizing it and others as gauge-invariant quantities. In this wo","authors_text":"Xiangdong Ji, Yang Xu, Yong Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-01T13:26:53Z","title":"Gluon Spin, Canonical Momentum, and Gauge Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0156","kind":"arxiv","version":4},"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":"sha256:1321d6c2961ad5f3d1703f7e0c1136c85860206cadff542467a061000a84f886","target":"record","created_at":"2026-05-18T01:57:41Z","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":"2e07881ace1e9ef1df3ca80221340189e3c831820303fda7b6f04798d109acfd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-01T13:26:53Z","title_canon_sha256":"a5e6c90d47010a28ca41493a297c71c5bd261b38304a2b0c8f429732c6ce0ffe"},"schema_version":"1.0","source":{"id":"1205.0156","kind":"arxiv","version":4}},"canonical_sha256":"8f692ca66bbb95f7f567c5a2464db73bac58e7ac44de92e542bef9350f057d8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f692ca66bbb95f7f567c5a2464db73bac58e7ac44de92e542bef9350f057d8d","first_computed_at":"2026-05-18T01:57:41.890668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:41.890668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9HgIQKDdv7JLByUaDCepcUeOXppmR8AzjVUaLAa5RKlzs8Y6URycX4aHtR8PlKPdh5anFL8kgMPBuwSu2GYSAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:41.891291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0156","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1321d6c2961ad5f3d1703f7e0c1136c85860206cadff542467a061000a84f886","sha256:33a976282f9e09e7e9b9d140589fe49ee93a1a9565f0e58fd8063e5fc4709ff0"],"state_sha256":"da4441c74a2173c61eb57f69514cad56a7bc099459f92b177f0d0a3fbc5ab5f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6FqIYomrDQ+S1pfNC4dhDV5GPg1nfPtSpkdHxKo8L/beYE0S/xySVV0HittOsFv7PKwC9znjGyVxmMK3HcgDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:43:17.726973Z","bundle_sha256":"c230292632aa6df235107c3ff1b1ca1adbd45375c55f170ab2e99ca8e3b5120e"}}