{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:FE4YAMSAYXXIUSCYICDGLNXLIN","short_pith_number":"pith:FE4YAMSA","canonical_record":{"source":{"id":"2008.11739","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-26T18:00:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1e9a35f90e73dba8038329981070ff41eca306a66944f0e45152719c47644b02","abstract_canon_sha256":"8e78846d2e28b9eecd2b2f5a0d1b05ac973849b9a952c4571ab7104efee4bb9a"},"schema_version":"1.0"},"canonical_sha256":"2939803240c5ee8a4858408665b6eb43534d484e2bb399700cf06420120b6f6e","source":{"kind":"arxiv","id":"2008.11739","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.11739","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"arxiv_version","alias_value":"2008.11739v3","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.11739","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_12","alias_value":"FE4YAMSAYXXI","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_16","alias_value":"FE4YAMSAYXXIUSCY","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_8","alias_value":"FE4YAMSA","created_at":"2026-07-05T02:06:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:FE4YAMSAYXXIUSCYICDGLNXLIN","target":"record","payload":{"canonical_record":{"source":{"id":"2008.11739","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-26T18:00:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1e9a35f90e73dba8038329981070ff41eca306a66944f0e45152719c47644b02","abstract_canon_sha256":"8e78846d2e28b9eecd2b2f5a0d1b05ac973849b9a952c4571ab7104efee4bb9a"},"schema_version":"1.0"},"canonical_sha256":"2939803240c5ee8a4858408665b6eb43534d484e2bb399700cf06420120b6f6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:06:51.667605Z","signature_b64":"9F3IC5PyBE3LkD2i69upq4GPUgTYoLElBDkliVnDRqRL0VpgW1Mjoe0L3pt51Hh0GQkKzz9lGb9zwqB0TjHHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2939803240c5ee8a4858408665b6eb43534d484e2bb399700cf06420120b6f6e","last_reissued_at":"2026-07-05T02:06:51.667128Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:06:51.667128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.11739","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:06:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cedamq9C1PGjCFjfYl3aeyNJuIt4oXHshsu66ahDfjG15Bi28KzHGa339m286aCMud+ymUQzQgSv3A+uIgEWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:26:19.350290Z"},"content_sha256":"e1d8731e639d59836476eaafa3b1ffc787ef1670df7e2f4e63fcc743997290b3","schema_version":"1.0","event_id":"sha256:e1d8731e639d59836476eaafa3b1ffc787ef1670df7e2f4e63fcc743997290b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:FE4YAMSAYXXIUSCYICDGLNXLIN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Massive Fishnets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Florian Loebbert, Julian Miczajka","submitted_at":"2020-08-26T18:00:05Z","abstract_excerpt":"Recently, infinite families of massive Feynman integrals were found to feature an unexpected Yangian symmetry. In the massless case, similar integrability properties are understood via the interpretation of individual Feynman integrals as correlators in the massless fishnet theory introduced by G\\\"urdo\\u{g}an and Kazakov. Here we seek for an analogous interpretation of the integrability of massive Feynman integrals. We contrast two approaches to define simple massive quantum field theories in four dimensions. First, we discuss spontaneous symmetry breaking in the massless bi-scalar fishnet the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.11739","kind":"arxiv","version":3},"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/2008.11739/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":"2026-07-05T02:06:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8VSRkX9TQ5Cf5X1bVuJDIlGQZFSfAptDUMhINhhfgFJCtkpeQhJQZxEHvkNgsSxKMZBwSyiZyplRvzfesgrFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:26:19.350781Z"},"content_sha256":"ead82218d2790c83081e5f56b5249aeecb73909ece2459e0ca119e8a7e3a7da5","schema_version":"1.0","event_id":"sha256:ead82218d2790c83081e5f56b5249aeecb73909ece2459e0ca119e8a7e3a7da5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FE4YAMSAYXXIUSCYICDGLNXLIN/bundle.json","state_url":"https://pith.science/pith/FE4YAMSAYXXIUSCYICDGLNXLIN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FE4YAMSAYXXIUSCYICDGLNXLIN/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":"2026-08-12T14:26:19Z","links":{"resolver":"https://pith.science/pith/FE4YAMSAYXXIUSCYICDGLNXLIN","bundle":"https://pith.science/pith/FE4YAMSAYXXIUSCYICDGLNXLIN/bundle.json","state":"https://pith.science/pith/FE4YAMSAYXXIUSCYICDGLNXLIN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FE4YAMSAYXXIUSCYICDGLNXLIN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:FE4YAMSAYXXIUSCYICDGLNXLIN","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":"8e78846d2e28b9eecd2b2f5a0d1b05ac973849b9a952c4571ab7104efee4bb9a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-26T18:00:05Z","title_canon_sha256":"1e9a35f90e73dba8038329981070ff41eca306a66944f0e45152719c47644b02"},"schema_version":"1.0","source":{"id":"2008.11739","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.11739","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"arxiv_version","alias_value":"2008.11739v3","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.11739","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_12","alias_value":"FE4YAMSAYXXI","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_16","alias_value":"FE4YAMSAYXXIUSCY","created_at":"2026-07-05T02:06:51Z"},{"alias_kind":"pith_short_8","alias_value":"FE4YAMSA","created_at":"2026-07-05T02:06:51Z"}],"graph_snapshots":[{"event_id":"sha256:ead82218d2790c83081e5f56b5249aeecb73909ece2459e0ca119e8a7e3a7da5","target":"graph","created_at":"2026-07-05T02:06:51Z","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/2008.11739/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, infinite families of massive Feynman integrals were found to feature an unexpected Yangian symmetry. In the massless case, similar integrability properties are understood via the interpretation of individual Feynman integrals as correlators in the massless fishnet theory introduced by G\\\"urdo\\u{g}an and Kazakov. Here we seek for an analogous interpretation of the integrability of massive Feynman integrals. We contrast two approaches to define simple massive quantum field theories in four dimensions. First, we discuss spontaneous symmetry breaking in the massless bi-scalar fishnet the","authors_text":"Florian Loebbert, Julian Miczajka","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-26T18:00:05Z","title":"Massive Fishnets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.11739","kind":"arxiv","version":3},"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:e1d8731e639d59836476eaafa3b1ffc787ef1670df7e2f4e63fcc743997290b3","target":"record","created_at":"2026-07-05T02:06:51Z","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":"8e78846d2e28b9eecd2b2f5a0d1b05ac973849b9a952c4571ab7104efee4bb9a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-26T18:00:05Z","title_canon_sha256":"1e9a35f90e73dba8038329981070ff41eca306a66944f0e45152719c47644b02"},"schema_version":"1.0","source":{"id":"2008.11739","kind":"arxiv","version":3}},"canonical_sha256":"2939803240c5ee8a4858408665b6eb43534d484e2bb399700cf06420120b6f6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2939803240c5ee8a4858408665b6eb43534d484e2bb399700cf06420120b6f6e","first_computed_at":"2026-07-05T02:06:51.667128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:06:51.667128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9F3IC5PyBE3LkD2i69upq4GPUgTYoLElBDkliVnDRqRL0VpgW1Mjoe0L3pt51Hh0GQkKzz9lGb9zwqB0TjHHDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:06:51.667605Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.11739","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1d8731e639d59836476eaafa3b1ffc787ef1670df7e2f4e63fcc743997290b3","sha256:ead82218d2790c83081e5f56b5249aeecb73909ece2459e0ca119e8a7e3a7da5"],"state_sha256":"b192b95b04c2aa819e7ef886db7f84e4298e1dd86111464a5ef41a6724b312ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q6kYDNlZPXjZVdSnj1Lud71qSBTFoJUTdibRLICLNvXqiGz4DIdBcegV62TTtQvoFzgx4vD5D0+nJFDHdNxaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T14:26:19.355124Z","bundle_sha256":"88dddb7400782ec9f43245282c1c7e0d59682b04fae917ed34104ab74cf3f8f6"}}