{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FQSOJCADZFUNZIXADXMES3G4WZ","short_pith_number":"pith:FQSOJCAD","canonical_record":{"source":{"id":"1510.03453","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-12T20:33:13Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"4ee1059129a674b8f7456d22e06ecdcbe5a2e6a371d5097ed0aab1573c2725c1","abstract_canon_sha256":"0694ce7ba6c9e6038b34909bc9a1f56dbf6216db95cb7f6ee4466cb0c68a1e47"},"schema_version":"1.0"},"canonical_sha256":"2c24e48803c968dca2e01dd8496cdcb64d8bfc68c171c5d9aea8ca51bc36443e","source":{"kind":"arxiv","id":"1510.03453","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03453","created_at":"2026-05-18T01:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03453v1","created_at":"2026-05-18T01:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03453","created_at":"2026-05-18T01:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"FQSOJCADZFUN","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FQSOJCADZFUNZIXA","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FQSOJCAD","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FQSOJCADZFUNZIXADXMES3G4WZ","target":"record","payload":{"canonical_record":{"source":{"id":"1510.03453","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-12T20:33:13Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"4ee1059129a674b8f7456d22e06ecdcbe5a2e6a371d5097ed0aab1573c2725c1","abstract_canon_sha256":"0694ce7ba6c9e6038b34909bc9a1f56dbf6216db95cb7f6ee4466cb0c68a1e47"},"schema_version":"1.0"},"canonical_sha256":"2c24e48803c968dca2e01dd8496cdcb64d8bfc68c171c5d9aea8ca51bc36443e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:30.616421Z","signature_b64":"aTtgdPMoOgnBF9xGhlfJJilZv0YaTSRhCpxv2LzEHFEG8ELkpSucwOT2nvkFk/e35taiIJikzy7XnqXlOIdEDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c24e48803c968dca2e01dd8496cdcb64d8bfc68c171c5d9aea8ca51bc36443e","last_reissued_at":"2026-05-18T01:21:30.615763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:30.615763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.03453","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":"2026-05-18T01:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PH0jLeZrYEJ9b9ECkIMCKcYfWv7+atWmkfTjJWKaZxnX42X9uu3nQf+6ZrTk7P01D8MckdYU5wbQuIrb/UfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T22:00:38.069543Z"},"content_sha256":"20f424f06c4492a18ee2a5fb8d9eee3722623ae11a9538cb98d1b6259d34d2a5","schema_version":"1.0","event_id":"sha256:20f424f06c4492a18ee2a5fb8d9eee3722623ae11a9538cb98d1b6259d34d2a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FQSOJCADZFUNZIXADXMES3G4WZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring dynamical gluon mass generation in three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Astronomy, John M. Cornwall (Dept. of Physics, UCLA)","submitted_at":"2015-10-12T20:33:13Z","abstract_excerpt":"In the d=3 gluon mass problem in pure-glue non-Abelian $SU(N)$ gauge theory we pay particular attention to the observed (in Landau gauge) violation of positivity for the spectral function of the gluon propagator. This causes a large bulge in the propagator at small momentum. Mass is defined through $m^{-2}=\\Delta (p=0)$, where $\\Delta(p)$ is the scalar function for the gluon propagator in some chosen gauge, it is not a pole mass and is generally gauge-dependent, except in the gauge-invariant Pinch Technique (PT). We truncate the PT equations with a new method called the vertex paradigm that au"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03453","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":"2026-05-18T01:21:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fUW3yj6ZzVPawnG080ihDoJVWXnJFv0JMilndFNxpQ/bJXblvD0OPnmt5FPGSFYbBD7mBVWVzsj3M6/nEca6CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T22:00:38.069901Z"},"content_sha256":"67fab7efa4a84c99a5e749af75126cbb91741cf5ee448ebe2e17c3b76366f3ba","schema_version":"1.0","event_id":"sha256:67fab7efa4a84c99a5e749af75126cbb91741cf5ee448ebe2e17c3b76366f3ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQSOJCADZFUNZIXADXMES3G4WZ/bundle.json","state_url":"https://pith.science/pith/FQSOJCADZFUNZIXADXMES3G4WZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQSOJCADZFUNZIXADXMES3G4WZ/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":"2026-08-11T22:00:38Z","links":{"resolver":"https://pith.science/pith/FQSOJCADZFUNZIXADXMES3G4WZ","bundle":"https://pith.science/pith/FQSOJCADZFUNZIXADXMES3G4WZ/bundle.json","state":"https://pith.science/pith/FQSOJCADZFUNZIXADXMES3G4WZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQSOJCADZFUNZIXADXMES3G4WZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FQSOJCADZFUNZIXADXMES3G4WZ","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":"0694ce7ba6c9e6038b34909bc9a1f56dbf6216db95cb7f6ee4466cb0c68a1e47","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-12T20:33:13Z","title_canon_sha256":"4ee1059129a674b8f7456d22e06ecdcbe5a2e6a371d5097ed0aab1573c2725c1"},"schema_version":"1.0","source":{"id":"1510.03453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03453","created_at":"2026-05-18T01:21:30Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03453v1","created_at":"2026-05-18T01:21:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03453","created_at":"2026-05-18T01:21:30Z"},{"alias_kind":"pith_short_12","alias_value":"FQSOJCADZFUN","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FQSOJCADZFUNZIXA","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FQSOJCAD","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:67fab7efa4a84c99a5e749af75126cbb91741cf5ee448ebe2e17c3b76366f3ba","target":"graph","created_at":"2026-05-18T01:21:30Z","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":"In the d=3 gluon mass problem in pure-glue non-Abelian $SU(N)$ gauge theory we pay particular attention to the observed (in Landau gauge) violation of positivity for the spectral function of the gluon propagator. This causes a large bulge in the propagator at small momentum. Mass is defined through $m^{-2}=\\Delta (p=0)$, where $\\Delta(p)$ is the scalar function for the gluon propagator in some chosen gauge, it is not a pole mass and is generally gauge-dependent, except in the gauge-invariant Pinch Technique (PT). We truncate the PT equations with a new method called the vertex paradigm that au","authors_text":"Astronomy, John M. Cornwall (Dept. of Physics, UCLA)","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-12T20:33:13Z","title":"Exploring dynamical gluon mass generation in three dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03453","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":"sha256:20f424f06c4492a18ee2a5fb8d9eee3722623ae11a9538cb98d1b6259d34d2a5","target":"record","created_at":"2026-05-18T01:21:30Z","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":"0694ce7ba6c9e6038b34909bc9a1f56dbf6216db95cb7f6ee4466cb0c68a1e47","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-12T20:33:13Z","title_canon_sha256":"4ee1059129a674b8f7456d22e06ecdcbe5a2e6a371d5097ed0aab1573c2725c1"},"schema_version":"1.0","source":{"id":"1510.03453","kind":"arxiv","version":1}},"canonical_sha256":"2c24e48803c968dca2e01dd8496cdcb64d8bfc68c171c5d9aea8ca51bc36443e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c24e48803c968dca2e01dd8496cdcb64d8bfc68c171c5d9aea8ca51bc36443e","first_computed_at":"2026-05-18T01:21:30.615763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:30.615763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aTtgdPMoOgnBF9xGhlfJJilZv0YaTSRhCpxv2LzEHFEG8ELkpSucwOT2nvkFk/e35taiIJikzy7XnqXlOIdEDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:30.616421Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20f424f06c4492a18ee2a5fb8d9eee3722623ae11a9538cb98d1b6259d34d2a5","sha256:67fab7efa4a84c99a5e749af75126cbb91741cf5ee448ebe2e17c3b76366f3ba"],"state_sha256":"3e2f526eb40d6fbf042af3c4961210b333b38c2a0e13e6626902fe015455b2ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZBE4OFEPJ+mwVPd0XjMvFUleLKvNrt1+u8ZApIWIqo9HErBmUfBxchkWXN2e7cy9XASa+oDlyswLWlc5Ds0gAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T22:00:38.072343Z","bundle_sha256":"1fe07f08dc67b38a6c2263b0dda5159ae9e166c5980ff689096f3a4b25d0308e"}}