{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:5IMVGMUWH2DUVQWKPKQ7QWI4G5","short_pith_number":"pith:5IMVGMUW","canonical_record":{"source":{"id":"2603.02838","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-03T10:37:05Z","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"title_canon_sha256":"a1bc3cda619c77e63f013bce9d426ea5a640b3f81ebe875d5f604d4108c039e6","abstract_canon_sha256":"8fad20a9e79140bfac5b18994fc55d09416940edb9e09798c56f177226170608"},"schema_version":"1.0"},"canonical_sha256":"ea195332963e874ac2ca7aa1f8591c374c372d81841d52cfa476c6baaa572bfe","source":{"kind":"arxiv","id":"2603.02838","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.02838","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"arxiv_version","alias_value":"2603.02838v2","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.02838","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"pith_short_12","alias_value":"5IMVGMUWH2DU","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"pith_short_16","alias_value":"5IMVGMUWH2DUVQWK","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"pith_short_8","alias_value":"5IMVGMUW","created_at":"2026-06-24T01:14:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:5IMVGMUWH2DUVQWKPKQ7QWI4G5","target":"record","payload":{"canonical_record":{"source":{"id":"2603.02838","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-03T10:37:05Z","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"title_canon_sha256":"a1bc3cda619c77e63f013bce9d426ea5a640b3f81ebe875d5f604d4108c039e6","abstract_canon_sha256":"8fad20a9e79140bfac5b18994fc55d09416940edb9e09798c56f177226170608"},"schema_version":"1.0"},"canonical_sha256":"ea195332963e874ac2ca7aa1f8591c374c372d81841d52cfa476c6baaa572bfe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:14:26.721048Z","signature_b64":"BKWipgXptvUiwacSCqUjtsVwEHwAwCKj4PtoWg5hMkaITVfR7H0/EyPFko5OAa3cWg3VVIdggksQt2gkf7veCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea195332963e874ac2ca7aa1f8591c374c372d81841d52cfa476c6baaa572bfe","last_reissued_at":"2026-06-24T01:14:26.720628Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:14:26.720628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.02838","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":"2026-06-24T01:14:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CesGDtnGQyvunwkvQ11f8/rezA1/W87raPzsRSo88KVe7u3FX/M3G2SRoStk5QGFqt6jQ3J8kPKhI63sn59tAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T05:55:18.369775Z"},"content_sha256":"d06c8fb6ddb54b777e75040bc16fb1ea8e877ff543f16cd6704006b30bedd73b","schema_version":"1.0","event_id":"sha256:d06c8fb6ddb54b777e75040bc16fb1ea8e877ff543f16cd6704006b30bedd73b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:5IMVGMUWH2DUVQWKPKQ7QWI4G5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Rodrigo Carmo Terin","submitted_at":"2026-03-03T10:37:05Z","abstract_excerpt":"We show that, in the replica-broken sector of the Serreau--Tissier (ST) gauge fixing, the expansion of the replica determinant in the regulator $\\zeta$ induces a nonlocal bilinear gluonic kernel with the same color and Lorentz structure as the quadratic part of the BRST-invariant Gribov horizon functional. This establishes an effective leading-order correspondence with the refined Gribov-Zwanziger (RGZ) horizon sector, rather than a reconstruction of the full nonlinear functional $H(A^h)$. The induced scale satisfies $\\gamma_{\\mathrm{ind}}^4\\propto \\zeta$ at leading order, up to scheme-depende"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.02838","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.02838/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-24T01:14:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gXMa4mklrM9Q/6DXAD/6WDJXpcPO5tmMPq2a+J96nw/bSF8GJg55Lesdppgs7PVV9Y+3vHHUIZM3u2HG64s8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T05:55:18.370385Z"},"content_sha256":"040512f9d2cdd5daf0c443611cd6cee7d89a6dee7143b728156ca8de22d59253","schema_version":"1.0","event_id":"sha256:040512f9d2cdd5daf0c443611cd6cee7d89a6dee7143b728156ca8de22d59253"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5IMVGMUWH2DUVQWKPKQ7QWI4G5/bundle.json","state_url":"https://pith.science/pith/5IMVGMUWH2DUVQWKPKQ7QWI4G5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5IMVGMUWH2DUVQWKPKQ7QWI4G5/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":"2026-08-06T05:55:18Z","links":{"resolver":"https://pith.science/pith/5IMVGMUWH2DUVQWKPKQ7QWI4G5","bundle":"https://pith.science/pith/5IMVGMUWH2DUVQWKPKQ7QWI4G5/bundle.json","state":"https://pith.science/pith/5IMVGMUWH2DUVQWKPKQ7QWI4G5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5IMVGMUWH2DUVQWKPKQ7QWI4G5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5IMVGMUWH2DUVQWKPKQ7QWI4G5","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":"8fad20a9e79140bfac5b18994fc55d09416940edb9e09798c56f177226170608","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-03T10:37:05Z","title_canon_sha256":"a1bc3cda619c77e63f013bce9d426ea5a640b3f81ebe875d5f604d4108c039e6"},"schema_version":"1.0","source":{"id":"2603.02838","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.02838","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"arxiv_version","alias_value":"2603.02838v2","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.02838","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"pith_short_12","alias_value":"5IMVGMUWH2DU","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"pith_short_16","alias_value":"5IMVGMUWH2DUVQWK","created_at":"2026-06-24T01:14:26Z"},{"alias_kind":"pith_short_8","alias_value":"5IMVGMUW","created_at":"2026-06-24T01:14:26Z"}],"graph_snapshots":[{"event_id":"sha256:040512f9d2cdd5daf0c443611cd6cee7d89a6dee7143b728156ca8de22d59253","target":"graph","created_at":"2026-06-24T01:14:26Z","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/2603.02838/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that, in the replica-broken sector of the Serreau--Tissier (ST) gauge fixing, the expansion of the replica determinant in the regulator $\\zeta$ induces a nonlocal bilinear gluonic kernel with the same color and Lorentz structure as the quadratic part of the BRST-invariant Gribov horizon functional. This establishes an effective leading-order correspondence with the refined Gribov-Zwanziger (RGZ) horizon sector, rather than a reconstruction of the full nonlinear functional $H(A^h)$. The induced scale satisfies $\\gamma_{\\mathrm{ind}}^4\\propto \\zeta$ at leading order, up to scheme-depende","authors_text":"Rodrigo Carmo Terin","cross_cats":["hep-lat","hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.02838","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:d06c8fb6ddb54b777e75040bc16fb1ea8e877ff543f16cd6704006b30bedd73b","target":"record","created_at":"2026-06-24T01:14:26Z","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":"8fad20a9e79140bfac5b18994fc55d09416940edb9e09798c56f177226170608","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-03-03T10:37:05Z","title_canon_sha256":"a1bc3cda619c77e63f013bce9d426ea5a640b3f81ebe875d5f604d4108c039e6"},"schema_version":"1.0","source":{"id":"2603.02838","kind":"arxiv","version":2}},"canonical_sha256":"ea195332963e874ac2ca7aa1f8591c374c372d81841d52cfa476c6baaa572bfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea195332963e874ac2ca7aa1f8591c374c372d81841d52cfa476c6baaa572bfe","first_computed_at":"2026-06-24T01:14:26.720628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:14:26.720628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BKWipgXptvUiwacSCqUjtsVwEHwAwCKj4PtoWg5hMkaITVfR7H0/EyPFko5OAa3cWg3VVIdggksQt2gkf7veCQ==","signature_status":"signed_v1","signed_at":"2026-06-24T01:14:26.721048Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.02838","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d06c8fb6ddb54b777e75040bc16fb1ea8e877ff543f16cd6704006b30bedd73b","sha256:040512f9d2cdd5daf0c443611cd6cee7d89a6dee7143b728156ca8de22d59253"],"state_sha256":"d1b1308ce2dc1fe0b2bfe692a2410ea820f6a7f913e5f4da96733cedc73b1965"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uc+dAbjACQCqY5DnYymy279sVFwlr4fDuPGXcU7vZNE9Vy63iL1VvY8mS26DvQdLDb5ZxmiwB7Zif0SM/QOvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T05:55:18.375446Z","bundle_sha256":"224e482de0b68a1be892f306e915ceeb435c777f4ac00dbbc1cf2cdb5dc26971"}}