{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:CAJNQYYMIMYTR3QDMTX5H3QQOZ","short_pith_number":"pith:CAJNQYYM","canonical_record":{"source":{"id":"2005.01735","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-04T18:00:03Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"ca4ff697df9fe988013cc3c570eeebf728be886c5cf86d9891a50b84e6d3b663","abstract_canon_sha256":"84ff3d7d2d6a3ba55b21f41d0b99effe5043bc1e50a4d7c018ec975c10336098"},"schema_version":"1.0"},"canonical_sha256":"1012d8630c433138ee0364efd3ee10765ffefc9cc04a4043ed02dfddf5fbf679","source":{"kind":"arxiv","id":"2005.01735","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.01735","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"arxiv_version","alias_value":"2005.01735v4","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.01735","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"pith_short_12","alias_value":"CAJNQYYMIMYT","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"pith_short_16","alias_value":"CAJNQYYMIMYTR3QD","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"pith_short_8","alias_value":"CAJNQYYM","created_at":"2026-07-05T01:44:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:CAJNQYYMIMYTR3QDMTX5H3QQOZ","target":"record","payload":{"canonical_record":{"source":{"id":"2005.01735","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-04T18:00:03Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"ca4ff697df9fe988013cc3c570eeebf728be886c5cf86d9891a50b84e6d3b663","abstract_canon_sha256":"84ff3d7d2d6a3ba55b21f41d0b99effe5043bc1e50a4d7c018ec975c10336098"},"schema_version":"1.0"},"canonical_sha256":"1012d8630c433138ee0364efd3ee10765ffefc9cc04a4043ed02dfddf5fbf679","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:44:11.832252Z","signature_b64":"2QEQPrNZNQs2uzKpEujttywuM9XBr5DlI1r6x3aBBEeGZo4V7NZNPH9iprX7OT4ycpETsn4lEPduw3g0UNz5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1012d8630c433138ee0364efd3ee10765ffefc9cc04a4043ed02dfddf5fbf679","last_reissued_at":"2026-07-05T01:44:11.831842Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:44:11.831842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.01735","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:44:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jLGR07skroJduhHvGLaSNCSMKPW2MDDWx6T6KbF31kWrTRAcK+oZkdCe/woPvT3HaJP6wDPb7mvxFjyAvvIDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:37:38.002764Z"},"content_sha256":"0dd85b4d314ea095b5807c770867fad0a0c13cebeabfc1cabcd6a359ba5d1515","schema_version":"1.0","event_id":"sha256:0dd85b4d314ea095b5807c770867fad0a0c13cebeabfc1cabcd6a359ba5d1515"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:CAJNQYYMIMYTR3QDMTX5H3QQOZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Massive Conformal Symmetry and Integrability for Feynman Integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Dennis M\\\"uller, Florian Loebbert, Hagen M\\\"unkler, Julian Miczajka","submitted_at":"2020-05-04T18:00:03Z","abstract_excerpt":"In the context of planar holography, integrability plays an important role for solving certain massless quantum field theories such as N=4 SYM theory. In this letter we show that integrability also features in the building blocks of massive quantum field theories. At one-loop order we prove that all massive n-gon Feynman integrals in generic spacetime dimensions are invariant under a massive Yangian symmetry. At two loops similar statements can be proven for graphs built from two n-gons. At generic loop order we conjecture that all graphs cut from regular tilings of the plane with massive prop"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.01735","kind":"arxiv","version":4},"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/2005.01735/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":"2026-07-05T01:44:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lyGtHYtLymXH2Z5OPU6OJqBTa4hNHwS2qpH70UJF/fds+o5acTupjP7pHsVxFqqQHKVTERu6eHKj2WWqMV4dDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:37:38.003293Z"},"content_sha256":"11209f882defa3b35f800e7a8453c939e1f73ab21c4901f7847e83c52d1eda9c","schema_version":"1.0","event_id":"sha256:11209f882defa3b35f800e7a8453c939e1f73ab21c4901f7847e83c52d1eda9c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CAJNQYYMIMYTR3QDMTX5H3QQOZ/bundle.json","state_url":"https://pith.science/pith/CAJNQYYMIMYTR3QDMTX5H3QQOZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CAJNQYYMIMYTR3QDMTX5H3QQOZ/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":"2026-08-11T20:37:38Z","links":{"resolver":"https://pith.science/pith/CAJNQYYMIMYTR3QDMTX5H3QQOZ","bundle":"https://pith.science/pith/CAJNQYYMIMYTR3QDMTX5H3QQOZ/bundle.json","state":"https://pith.science/pith/CAJNQYYMIMYTR3QDMTX5H3QQOZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CAJNQYYMIMYTR3QDMTX5H3QQOZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:CAJNQYYMIMYTR3QDMTX5H3QQOZ","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":"84ff3d7d2d6a3ba55b21f41d0b99effe5043bc1e50a4d7c018ec975c10336098","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-04T18:00:03Z","title_canon_sha256":"ca4ff697df9fe988013cc3c570eeebf728be886c5cf86d9891a50b84e6d3b663"},"schema_version":"1.0","source":{"id":"2005.01735","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.01735","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"arxiv_version","alias_value":"2005.01735v4","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.01735","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"pith_short_12","alias_value":"CAJNQYYMIMYT","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"pith_short_16","alias_value":"CAJNQYYMIMYTR3QD","created_at":"2026-07-05T01:44:11Z"},{"alias_kind":"pith_short_8","alias_value":"CAJNQYYM","created_at":"2026-07-05T01:44:11Z"}],"graph_snapshots":[{"event_id":"sha256:11209f882defa3b35f800e7a8453c939e1f73ab21c4901f7847e83c52d1eda9c","target":"graph","created_at":"2026-07-05T01:44:11Z","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/2005.01735/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the context of planar holography, integrability plays an important role for solving certain massless quantum field theories such as N=4 SYM theory. In this letter we show that integrability also features in the building blocks of massive quantum field theories. At one-loop order we prove that all massive n-gon Feynman integrals in generic spacetime dimensions are invariant under a massive Yangian symmetry. At two loops similar statements can be proven for graphs built from two n-gons. At generic loop order we conjecture that all graphs cut from regular tilings of the plane with massive prop","authors_text":"Dennis M\\\"uller, Florian Loebbert, Hagen M\\\"unkler, Julian Miczajka","cross_cats":["hep-ph","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-04T18:00:03Z","title":"Massive Conformal Symmetry and Integrability for Feynman Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.01735","kind":"arxiv","version":4},"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":"sha256:0dd85b4d314ea095b5807c770867fad0a0c13cebeabfc1cabcd6a359ba5d1515","target":"record","created_at":"2026-07-05T01:44:11Z","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":"84ff3d7d2d6a3ba55b21f41d0b99effe5043bc1e50a4d7c018ec975c10336098","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-04T18:00:03Z","title_canon_sha256":"ca4ff697df9fe988013cc3c570eeebf728be886c5cf86d9891a50b84e6d3b663"},"schema_version":"1.0","source":{"id":"2005.01735","kind":"arxiv","version":4}},"canonical_sha256":"1012d8630c433138ee0364efd3ee10765ffefc9cc04a4043ed02dfddf5fbf679","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1012d8630c433138ee0364efd3ee10765ffefc9cc04a4043ed02dfddf5fbf679","first_computed_at":"2026-07-05T01:44:11.831842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:44:11.831842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2QEQPrNZNQs2uzKpEujttywuM9XBr5DlI1r6x3aBBEeGZo4V7NZNPH9iprX7OT4ycpETsn4lEPduw3g0UNz5DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:44:11.832252Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.01735","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dd85b4d314ea095b5807c770867fad0a0c13cebeabfc1cabcd6a359ba5d1515","sha256:11209f882defa3b35f800e7a8453c939e1f73ab21c4901f7847e83c52d1eda9c"],"state_sha256":"67be63cf33494c35a748e508b21a891e084f576656c14649d84cd74bd8b38e9d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j9LwR5YBy0gYvld1yxrvuh10IPa8SuPiAsc+WQxK518CvUU2cl34AE+bQXYc4EtUYKD/RpR/gauWAGCCcwk1Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T20:37:38.009268Z","bundle_sha256":"61b02450d8c317d9765f4b0882274c1b784967d33e781d23e51669b08a8980d8"}}