{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JD2TQZ2ILJ2EUIPNJ2SPFQUSJG","short_pith_number":"pith:JD2TQZ2I","canonical_record":{"source":{"id":"1507.08392","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-30T06:24:59Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"216b7ef6eddc130bb09fbe30325f0400678ceb54db991c4ffc42608dfd605910","abstract_canon_sha256":"d28c636c43d6e20c481e97900f408097d94bef052b554e44bcfa76d902258d37"},"schema_version":"1.0"},"canonical_sha256":"48f53867485a744a21ed4ea4f2c29249be36c20ceeefd13d7cc6c4685ffc52f8","source":{"kind":"arxiv","id":"1507.08392","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08392","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08392v2","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08392","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"JD2TQZ2ILJ2E","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JD2TQZ2ILJ2EUIPN","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JD2TQZ2I","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JD2TQZ2ILJ2EUIPNJ2SPFQUSJG","target":"record","payload":{"canonical_record":{"source":{"id":"1507.08392","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-30T06:24:59Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"216b7ef6eddc130bb09fbe30325f0400678ceb54db991c4ffc42608dfd605910","abstract_canon_sha256":"d28c636c43d6e20c481e97900f408097d94bef052b554e44bcfa76d902258d37"},"schema_version":"1.0"},"canonical_sha256":"48f53867485a744a21ed4ea4f2c29249be36c20ceeefd13d7cc6c4685ffc52f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:38.038181Z","signature_b64":"UZYdp/tNRxIlJ3z3RIpI8ZhUaJJYmLV7VVyN219lkcS7VFW0jXYQ6JQMI4V1Su3UKHa7rNRh3GnK/8Afx7nIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48f53867485a744a21ed4ea4f2c29249be36c20ceeefd13d7cc6c4685ffc52f8","last_reissued_at":"2026-05-18T01:23:38.037634Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:38.037634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.08392","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jpdKLk+WF8krMyZizfKvNLckIDA4hdLH+dNPXG2FQApt9ibcyZGMGfUPCKqmU34K9PbEdhwGKu/5dJwCiOIgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:56:50.000142Z"},"content_sha256":"3511687b53b97abc28fcbc081bfe9b476cc5fce21c18e4dd382e4868759cb5d9","schema_version":"1.0","event_id":"sha256:3511687b53b97abc28fcbc081bfe9b476cc5fce21c18e4dd382e4868759cb5d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JD2TQZ2ILJ2EUIPNJ2SPFQUSJG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Basis invariant description of chemical equilibrium with implications for a recent axionic leptogenesis model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"hep-ph","authors_text":"Bowen Shi, Stuart Raby","submitted_at":"2015-07-30T06:24:59Z","abstract_excerpt":"We provide a systematic treatment of chemical equilibrium in the presence of a specific type of time dependent background. The type of time dependent background we consider appears, for example, in recently proposed axion/Majoron leptogenesis models [1,2]. In describing the chemical equilibrium we use quantities which are invariant under redefinition of fermion phases (we refer to this redefinition as a change of basis for short), and therefore it is a basis invariant treatment. The change of the anomaly terms due to the change of the path integral measure [3,4] under a basis change is taken i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08392","kind":"arxiv","version":2},"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":"2026-05-18T01:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4fplX4H1RCvzoXFuMVLg/Dt4lmaw4l0cUwqs3iJuo4aaK7cOt+WVQXx1OPkBLCu7k3nLdriS9tiBPxeX2dfkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T18:56:50.002163Z"},"content_sha256":"2c6c28a49f352be3974c03712c1c4f943e57c8e76f841bd6457a5cbf6964587e","schema_version":"1.0","event_id":"sha256:2c6c28a49f352be3974c03712c1c4f943e57c8e76f841bd6457a5cbf6964587e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JD2TQZ2ILJ2EUIPNJ2SPFQUSJG/bundle.json","state_url":"https://pith.science/pith/JD2TQZ2ILJ2EUIPNJ2SPFQUSJG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JD2TQZ2ILJ2EUIPNJ2SPFQUSJG/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":"2026-06-08T18:56:50Z","links":{"resolver":"https://pith.science/pith/JD2TQZ2ILJ2EUIPNJ2SPFQUSJG","bundle":"https://pith.science/pith/JD2TQZ2ILJ2EUIPNJ2SPFQUSJG/bundle.json","state":"https://pith.science/pith/JD2TQZ2ILJ2EUIPNJ2SPFQUSJG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JD2TQZ2ILJ2EUIPNJ2SPFQUSJG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JD2TQZ2ILJ2EUIPNJ2SPFQUSJG","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":"d28c636c43d6e20c481e97900f408097d94bef052b554e44bcfa76d902258d37","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-30T06:24:59Z","title_canon_sha256":"216b7ef6eddc130bb09fbe30325f0400678ceb54db991c4ffc42608dfd605910"},"schema_version":"1.0","source":{"id":"1507.08392","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.08392","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"1507.08392v2","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.08392","created_at":"2026-05-18T01:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"JD2TQZ2ILJ2E","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JD2TQZ2ILJ2EUIPN","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JD2TQZ2I","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:2c6c28a49f352be3974c03712c1c4f943e57c8e76f841bd6457a5cbf6964587e","target":"graph","created_at":"2026-05-18T01:23:38Z","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":"We provide a systematic treatment of chemical equilibrium in the presence of a specific type of time dependent background. The type of time dependent background we consider appears, for example, in recently proposed axion/Majoron leptogenesis models [1,2]. In describing the chemical equilibrium we use quantities which are invariant under redefinition of fermion phases (we refer to this redefinition as a change of basis for short), and therefore it is a basis invariant treatment. The change of the anomaly terms due to the change of the path integral measure [3,4] under a basis change is taken i","authors_text":"Bowen Shi, Stuart Raby","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-30T06:24:59Z","title":"Basis invariant description of chemical equilibrium with implications for a recent axionic leptogenesis model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.08392","kind":"arxiv","version":2},"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":"sha256:3511687b53b97abc28fcbc081bfe9b476cc5fce21c18e4dd382e4868759cb5d9","target":"record","created_at":"2026-05-18T01:23:38Z","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":"d28c636c43d6e20c481e97900f408097d94bef052b554e44bcfa76d902258d37","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-30T06:24:59Z","title_canon_sha256":"216b7ef6eddc130bb09fbe30325f0400678ceb54db991c4ffc42608dfd605910"},"schema_version":"1.0","source":{"id":"1507.08392","kind":"arxiv","version":2}},"canonical_sha256":"48f53867485a744a21ed4ea4f2c29249be36c20ceeefd13d7cc6c4685ffc52f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48f53867485a744a21ed4ea4f2c29249be36c20ceeefd13d7cc6c4685ffc52f8","first_computed_at":"2026-05-18T01:23:38.037634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:38.037634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UZYdp/tNRxIlJ3z3RIpI8ZhUaJJYmLV7VVyN219lkcS7VFW0jXYQ6JQMI4V1Su3UKHa7rNRh3GnK/8Afx7nIAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:38.038181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.08392","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3511687b53b97abc28fcbc081bfe9b476cc5fce21c18e4dd382e4868759cb5d9","sha256:2c6c28a49f352be3974c03712c1c4f943e57c8e76f841bd6457a5cbf6964587e"],"state_sha256":"029f535350f08b2f2122997c0014a2dd346c267c9a6f7c8e91641c971ee30911"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ojMgFmtWdOU67DL9H/zzEl5cAYwGQ6pRljs1jGA/ZazYxTvDrpgrAQ+9y+tTcZa6vze4dfnuDO1oWPQT7x0hDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T18:56:50.008542Z","bundle_sha256":"489de079a7e2f17ea0e57087553f0c7a7c1518e6736e4aa04cc1f973e1ee6b48"}}