{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4HUJH6IMXC2WRKZBFGPIZCQPOG","short_pith_number":"pith:4HUJH6IM","canonical_record":{"source":{"id":"1802.07825","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-02-20T15:27:41Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"cd24cd0f7b77d50d976b842887eaa197a7c683f740dd7a22391daccca6cdf7f2","abstract_canon_sha256":"e7c3a430387cd3b53f0982878e978e40400eb3960f9e12e19dd65bcf287666aa"},"schema_version":"1.0"},"canonical_sha256":"e1e893f90cb8b568ab21299e8c8a0f71ac66f15ce653c8701a6cc1843b88e402","source":{"kind":"arxiv","id":"1802.07825","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07825","created_at":"2026-05-18T00:22:36Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07825v1","created_at":"2026-05-18T00:22:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07825","created_at":"2026-05-18T00:22:36Z"},{"alias_kind":"pith_short_12","alias_value":"4HUJH6IMXC2W","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4HUJH6IMXC2WRKZB","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4HUJH6IM","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4HUJH6IMXC2WRKZBFGPIZCQPOG","target":"record","payload":{"canonical_record":{"source":{"id":"1802.07825","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-02-20T15:27:41Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"cd24cd0f7b77d50d976b842887eaa197a7c683f740dd7a22391daccca6cdf7f2","abstract_canon_sha256":"e7c3a430387cd3b53f0982878e978e40400eb3960f9e12e19dd65bcf287666aa"},"schema_version":"1.0"},"canonical_sha256":"e1e893f90cb8b568ab21299e8c8a0f71ac66f15ce653c8701a6cc1843b88e402","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:36.832565Z","signature_b64":"SQ877l0NWJH0Y588cokL5nJmR3Pid6Wgw/b8TMQ7l/3B7euDnJmdcq9aCC2E+2S+8P3gCRwIyszwqqqOXxAFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1e893f90cb8b568ab21299e8c8a0f71ac66f15ce653c8701a6cc1843b88e402","last_reissued_at":"2026-05-18T00:22:36.832031Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:36.832031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.07825","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":"2026-05-18T00:22:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"18fSz5+XLu1sFdjhyXooz4XBBZDAXDYDXt53xCfELq2v35fzioSwKSXvWhgwzwyr8doIBUzIX7z3a/9qzGPWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:19:17.705756Z"},"content_sha256":"ddd740d3a2a095a602b496de77bb05e8b96174d489ebbf2fec10710ef0193124","schema_version":"1.0","event_id":"sha256:ddd740d3a2a095a602b496de77bb05e8b96174d489ebbf2fec10710ef0193124"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4HUJH6IMXC2WRKZBFGPIZCQPOG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge Invariant Noether's Theorem in Yang-Mills Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Gouranga C Nayak","submitted_at":"2018-02-20T15:27:41Z","abstract_excerpt":"The gauge invariant definition of the spin dependent gluon distribution function from first principle is necessary to study the proton spin crisis at high energy colliders. In this paper we derive the gauge invariant Noether's theorem in Yang-Mills theory by using combined Lorentz transformation plus local non-abelian gauge transformation. We find that the definition of the gauge invariant spin (or orbital) angular momentum of the Yang-Mills field does not exist in Yang-Mills theory although the definition of the gauge invariant spin (or orbital) angular momentum of the quark exists. We show t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07825","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":"2026-05-18T00:22:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NCGixlsSA4Ok+Me3FItV9lTDaMfogYZ+sT48Hg2+5WOthb61cLolyGNqD3DeBbFuCyoi/usEDfXMeWziRfvwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:19:17.706099Z"},"content_sha256":"c34ade777fdad089148e4f83d6516bd0fbafc5d6b6ed0a118fc7f889e53670c3","schema_version":"1.0","event_id":"sha256:c34ade777fdad089148e4f83d6516bd0fbafc5d6b6ed0a118fc7f889e53670c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4HUJH6IMXC2WRKZBFGPIZCQPOG/bundle.json","state_url":"https://pith.science/pith/4HUJH6IMXC2WRKZBFGPIZCQPOG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4HUJH6IMXC2WRKZBFGPIZCQPOG/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":"2026-06-02T00:19:17Z","links":{"resolver":"https://pith.science/pith/4HUJH6IMXC2WRKZBFGPIZCQPOG","bundle":"https://pith.science/pith/4HUJH6IMXC2WRKZBFGPIZCQPOG/bundle.json","state":"https://pith.science/pith/4HUJH6IMXC2WRKZBFGPIZCQPOG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4HUJH6IMXC2WRKZBFGPIZCQPOG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4HUJH6IMXC2WRKZBFGPIZCQPOG","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":"e7c3a430387cd3b53f0982878e978e40400eb3960f9e12e19dd65bcf287666aa","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-02-20T15:27:41Z","title_canon_sha256":"cd24cd0f7b77d50d976b842887eaa197a7c683f740dd7a22391daccca6cdf7f2"},"schema_version":"1.0","source":{"id":"1802.07825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07825","created_at":"2026-05-18T00:22:36Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07825v1","created_at":"2026-05-18T00:22:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07825","created_at":"2026-05-18T00:22:36Z"},{"alias_kind":"pith_short_12","alias_value":"4HUJH6IMXC2W","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4HUJH6IMXC2WRKZB","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4HUJH6IM","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:c34ade777fdad089148e4f83d6516bd0fbafc5d6b6ed0a118fc7f889e53670c3","target":"graph","created_at":"2026-05-18T00:22:36Z","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":"The gauge invariant definition of the spin dependent gluon distribution function from first principle is necessary to study the proton spin crisis at high energy colliders. In this paper we derive the gauge invariant Noether's theorem in Yang-Mills theory by using combined Lorentz transformation plus local non-abelian gauge transformation. We find that the definition of the gauge invariant spin (or orbital) angular momentum of the Yang-Mills field does not exist in Yang-Mills theory although the definition of the gauge invariant spin (or orbital) angular momentum of the quark exists. We show t","authors_text":"Gouranga C Nayak","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-02-20T15:27:41Z","title":"Gauge Invariant Noether's Theorem in Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07825","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:ddd740d3a2a095a602b496de77bb05e8b96174d489ebbf2fec10710ef0193124","target":"record","created_at":"2026-05-18T00:22:36Z","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":"e7c3a430387cd3b53f0982878e978e40400eb3960f9e12e19dd65bcf287666aa","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-02-20T15:27:41Z","title_canon_sha256":"cd24cd0f7b77d50d976b842887eaa197a7c683f740dd7a22391daccca6cdf7f2"},"schema_version":"1.0","source":{"id":"1802.07825","kind":"arxiv","version":1}},"canonical_sha256":"e1e893f90cb8b568ab21299e8c8a0f71ac66f15ce653c8701a6cc1843b88e402","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1e893f90cb8b568ab21299e8c8a0f71ac66f15ce653c8701a6cc1843b88e402","first_computed_at":"2026-05-18T00:22:36.832031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:36.832031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SQ877l0NWJH0Y588cokL5nJmR3Pid6Wgw/b8TMQ7l/3B7euDnJmdcq9aCC2E+2S+8P3gCRwIyszwqqqOXxAFBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:36.832565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddd740d3a2a095a602b496de77bb05e8b96174d489ebbf2fec10710ef0193124","sha256:c34ade777fdad089148e4f83d6516bd0fbafc5d6b6ed0a118fc7f889e53670c3"],"state_sha256":"4e2eabd32914880b10b9d643300964f1b7b31440c5d1e7fb4d17da0457aa2964"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"afB3ZNTJhru0npvJer4B1ANvRD7jaoM2Of29U4IUPIJHOI6LCUYlb4iiJHtRxXBAfpS7WDG06duwU3QzT1z2Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:19:17.708277Z","bundle_sha256":"c4da2c9e36fea30300b545e954a598103aacdde6d30d80c65be928f65e71b63a"}}