{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5QAD2FU6XORFU4337C7MPROCEE","short_pith_number":"pith:5QAD2FU6","canonical_record":{"source":{"id":"1110.6186","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-27T20:05:15Z","cross_cats_sorted":[],"title_canon_sha256":"692bedc6d0bf38b1587650b0ee7d51a8330f59bdf616e5249cab554c4aa1e0a9","abstract_canon_sha256":"2e6ca9da9dc8b52529c3478fba7fe694f2800fa77eadd99fd24fe8a8dfaf8e36"},"schema_version":"1.0"},"canonical_sha256":"ec003d169ebba25a737bf8bec7c5c2210714bd8568ba140fc0be9efcf4ba8dd7","source":{"kind":"arxiv","id":"1110.6186","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6186","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6186v3","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6186","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"5QAD2FU6XORF","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5QAD2FU6XORFU433","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5QAD2FU6","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5QAD2FU6XORFU4337C7MPROCEE","target":"record","payload":{"canonical_record":{"source":{"id":"1110.6186","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-27T20:05:15Z","cross_cats_sorted":[],"title_canon_sha256":"692bedc6d0bf38b1587650b0ee7d51a8330f59bdf616e5249cab554c4aa1e0a9","abstract_canon_sha256":"2e6ca9da9dc8b52529c3478fba7fe694f2800fa77eadd99fd24fe8a8dfaf8e36"},"schema_version":"1.0"},"canonical_sha256":"ec003d169ebba25a737bf8bec7c5c2210714bd8568ba140fc0be9efcf4ba8dd7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:19.912956Z","signature_b64":"cHC+tjdlNBsE2wXMY0kFyjAPIKdS6zJCnQE9IX2keuQ0+BiGmFUde6pDYEnPRZV0sK6nX4rBtmla/jS2SFZnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec003d169ebba25a737bf8bec7c5c2210714bd8568ba140fc0be9efcf4ba8dd7","last_reissued_at":"2026-05-18T03:49:19.912237Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:19.912237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.6186","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":"2026-05-18T03:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SSHVHiEuKI8v0P75x23bjOIM/u0+r2onNofuy8JhGURDitEOBeUuHphDMCSOXDZmWFaePG0yU5HSWA7pprHEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T11:15:27.494070Z"},"content_sha256":"3a1799c4d6fb299b7cbf9296114dbd857f4505350ab261cd2b1df793c9d8ce52","schema_version":"1.0","event_id":"sha256:3a1799c4d6fb299b7cbf9296114dbd857f4505350ab261cd2b1df793c9d8ce52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5QAD2FU6XORFU4337C7MPROCEE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Momentum routing invariance in Feynman diagrams and quantum symmetry breakings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. L. Cherchiglia, Brigitte Hiller, L. C. Ferreira, Marcos Sampaio, M. C. Nemes","submitted_at":"2011-10-27T20:05:15Z","abstract_excerpt":"We illustrate with examples that quantum symmetry breakings in perturbation theory are connected to breakdown of momentum routing invariance (MRI) in the loops of a Feynman diagram. We show that MRI is a necessary and sufficient condition to preserve abelian gauge symmetry at arbitrary loop order. We adopt the implicit regularization framework in which surface terms that are directly connected to momentum routing can be constructed to arbitrary loop order. The interplay between momentum routing invariance, surface terms and anomalies is discussed. We also illustrate that MRI is important to pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6186","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":""},"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":"2026-05-18T03:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M/xeknBZWRuBR4MzRrG666SkQgmw7MzT5Hv2Vbho3X9MxWwLgNkt2NUGKfKNM13SduzqRX2ddSnpel7QKgIzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T11:15:27.494674Z"},"content_sha256":"443e0edaa908c2035f252bbc8c573fe446e0cad2730c8f7f6abd707693974905","schema_version":"1.0","event_id":"sha256:443e0edaa908c2035f252bbc8c573fe446e0cad2730c8f7f6abd707693974905"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5QAD2FU6XORFU4337C7MPROCEE/bundle.json","state_url":"https://pith.science/pith/5QAD2FU6XORFU4337C7MPROCEE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5QAD2FU6XORFU4337C7MPROCEE/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":"2026-05-24T11:15:27Z","links":{"resolver":"https://pith.science/pith/5QAD2FU6XORFU4337C7MPROCEE","bundle":"https://pith.science/pith/5QAD2FU6XORFU4337C7MPROCEE/bundle.json","state":"https://pith.science/pith/5QAD2FU6XORFU4337C7MPROCEE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5QAD2FU6XORFU4337C7MPROCEE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5QAD2FU6XORFU4337C7MPROCEE","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":"2e6ca9da9dc8b52529c3478fba7fe694f2800fa77eadd99fd24fe8a8dfaf8e36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-27T20:05:15Z","title_canon_sha256":"692bedc6d0bf38b1587650b0ee7d51a8330f59bdf616e5249cab554c4aa1e0a9"},"schema_version":"1.0","source":{"id":"1110.6186","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6186","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6186v3","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6186","created_at":"2026-05-18T03:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"5QAD2FU6XORF","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5QAD2FU6XORFU433","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5QAD2FU6","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:443e0edaa908c2035f252bbc8c573fe446e0cad2730c8f7f6abd707693974905","target":"graph","created_at":"2026-05-18T03:49:19Z","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":"We illustrate with examples that quantum symmetry breakings in perturbation theory are connected to breakdown of momentum routing invariance (MRI) in the loops of a Feynman diagram. We show that MRI is a necessary and sufficient condition to preserve abelian gauge symmetry at arbitrary loop order. We adopt the implicit regularization framework in which surface terms that are directly connected to momentum routing can be constructed to arbitrary loop order. The interplay between momentum routing invariance, surface terms and anomalies is discussed. We also illustrate that MRI is important to pr","authors_text":"A. L. Cherchiglia, Brigitte Hiller, L. C. Ferreira, Marcos Sampaio, M. C. Nemes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-27T20:05:15Z","title":"Momentum routing invariance in Feynman diagrams and quantum symmetry breakings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6186","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":"sha256:3a1799c4d6fb299b7cbf9296114dbd857f4505350ab261cd2b1df793c9d8ce52","target":"record","created_at":"2026-05-18T03:49:19Z","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":"2e6ca9da9dc8b52529c3478fba7fe694f2800fa77eadd99fd24fe8a8dfaf8e36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-27T20:05:15Z","title_canon_sha256":"692bedc6d0bf38b1587650b0ee7d51a8330f59bdf616e5249cab554c4aa1e0a9"},"schema_version":"1.0","source":{"id":"1110.6186","kind":"arxiv","version":3}},"canonical_sha256":"ec003d169ebba25a737bf8bec7c5c2210714bd8568ba140fc0be9efcf4ba8dd7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec003d169ebba25a737bf8bec7c5c2210714bd8568ba140fc0be9efcf4ba8dd7","first_computed_at":"2026-05-18T03:49:19.912237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:19.912237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cHC+tjdlNBsE2wXMY0kFyjAPIKdS6zJCnQE9IX2keuQ0+BiGmFUde6pDYEnPRZV0sK6nX4rBtmla/jS2SFZnAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:19.912956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6186","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a1799c4d6fb299b7cbf9296114dbd857f4505350ab261cd2b1df793c9d8ce52","sha256:443e0edaa908c2035f252bbc8c573fe446e0cad2730c8f7f6abd707693974905"],"state_sha256":"e669a129361037fba39a099bc812cffc10cea42f44f7886c74c7cacf59915ff7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wNhJG7dFuen+DOvdqNGkgUksMKHTOMsm+qYjxp1BPujQ11IN/KM2E45eEXG+5AcG98PErqo7ZvfwchyRq7cWCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T11:15:27.498241Z","bundle_sha256":"4b6b85f1e78e5c3a6da94d316611f50f2962e60714bf67edf4e0a8d662093f21"}}