{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:V6NJTWM2UKRL3UV7LW2R6LMPQZ","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":"8333d19947b760ef3319fc49f463a6a3c4a9eb06b2081265322fddf05dc87a39","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-28T15:18:26Z","title_canon_sha256":"b803a76f2aab78edb6754d848676fc64913e0f3b935e417a5c54210d2b539d87"},"schema_version":"1.0","source":{"id":"2606.29455","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29455","created_at":"2026-06-30T01:18:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29455v1","created_at":"2026-06-30T01:18:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29455","created_at":"2026-06-30T01:18:07Z"},{"alias_kind":"pith_short_12","alias_value":"V6NJTWM2UKRL","created_at":"2026-06-30T01:18:07Z"},{"alias_kind":"pith_short_16","alias_value":"V6NJTWM2UKRL3UV7","created_at":"2026-06-30T01:18:07Z"},{"alias_kind":"pith_short_8","alias_value":"V6NJTWM2","created_at":"2026-06-30T01:18:07Z"}],"graph_snapshots":[{"event_id":"sha256:2d60dc793978e4d9f8ddf5cb239904b20abbc516730dd919fe9948ee038a34b4","target":"graph","created_at":"2026-06-30T01:18:07Z","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/2606.29455/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Precise derivation of the logarithmically scale-dependent Hamiltonian eigenstate picture for hadrons in the space of virtual quark and gluon states of the canonical front form of QCD requires addressing first the problem of divergences stronger than logarithmic, and especially the small-x divergences in the dynamics of gluons. We propose to facilitate the regularization and cancellation of these divergences using a gluon mass parameter and an auxiliary color-octet scalar field corresponding to the longitudinally polarized gluons. The auxiliary field decouples from the hadronic constituent dyna","authors_text":"Stanis{\\l}aw D. G{\\l}azek","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-28T15:18:26Z","title":"Gluon mass and small-x dynamics in hadrons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29455","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":"sha256:87dbf4d383fde7c69aeedf43d38077758c89d58bc216fc01f60d5d01599acc4e","target":"record","created_at":"2026-06-30T01:18:07Z","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":"8333d19947b760ef3319fc49f463a6a3c4a9eb06b2081265322fddf05dc87a39","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-28T15:18:26Z","title_canon_sha256":"b803a76f2aab78edb6754d848676fc64913e0f3b935e417a5c54210d2b539d87"},"schema_version":"1.0","source":{"id":"2606.29455","kind":"arxiv","version":1}},"canonical_sha256":"af9a99d99aa2a2bdd2bf5db51f2d8f867c632ec80cf0db6868c0a83fe362c63e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af9a99d99aa2a2bdd2bf5db51f2d8f867c632ec80cf0db6868c0a83fe362c63e","first_computed_at":"2026-06-30T01:18:07.171989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:18:07.171989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6QML4qqIEZRInQSGOyzrivwySKPxLgCrWfuOCuokMJXwec/75EIwvNZmpnYSQeLZBVk2GAax0tljnh3i8An2Bw==","signature_status":"signed_v1","signed_at":"2026-06-30T01:18:07.172593Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.29455","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87dbf4d383fde7c69aeedf43d38077758c89d58bc216fc01f60d5d01599acc4e","sha256:2d60dc793978e4d9f8ddf5cb239904b20abbc516730dd919fe9948ee038a34b4"],"state_sha256":"76f4665095df231b0fbd3cb5232ee3a0fb88c01d0b0c5f253655898dd005df37"}