{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:7UTUTHXN3CTEZCLAYRTZL2EBJ6","short_pith_number":"pith:7UTUTHXN","canonical_record":{"source":{"id":"hep-ph/9605392","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-05-24T23:27:33Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e61031cbe423e4f258f50c178cd6e234c1a3011461b34498a2879d6a99db2e5a","abstract_canon_sha256":"74514337c2cfe9f7e1287c5a79611b0ecfffc43d4505556b094009fda71514ba"},"schema_version":"1.0"},"canonical_sha256":"fd27499eedd8a64c8960c46795e8814fba674c770519b43a785d6359a8c2d597","source":{"kind":"arxiv","id":"hep-ph/9605392","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9605392","created_at":"2026-05-18T01:38:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9605392v1","created_at":"2026-05-18T01:38:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9605392","created_at":"2026-05-18T01:38:59Z"},{"alias_kind":"pith_short_12","alias_value":"7UTUTHXN3CTE","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7UTUTHXN3CTEZCLA","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7UTUTHXN","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:7UTUTHXN3CTEZCLAYRTZL2EBJ6","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9605392","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-05-24T23:27:33Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e61031cbe423e4f258f50c178cd6e234c1a3011461b34498a2879d6a99db2e5a","abstract_canon_sha256":"74514337c2cfe9f7e1287c5a79611b0ecfffc43d4505556b094009fda71514ba"},"schema_version":"1.0"},"canonical_sha256":"fd27499eedd8a64c8960c46795e8814fba674c770519b43a785d6359a8c2d597","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:59.399756Z","signature_b64":"VdQzQ0Z+89Jaz11L5ufPGyqizyPz2lPBzQgxpoKoe9eW5kty+jen5K0CIIy6UkhkrgZ9EjUEEEPtZgM5SxgvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd27499eedd8a64c8960c46795e8814fba674c770519b43a785d6359a8c2d597","last_reissued_at":"2026-05-18T01:38:59.399054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:59.399054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9605392","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ycjgF+FbI+v9hiH0WRxbNot7wu6TlRJzXuVXD80DSMvec626Mxbk8/YJc+4z1x60wJ/mrQvQmcAmVz6x28yODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:15:32.777002Z"},"content_sha256":"7e7d3204263bb416a61795bd5438c2aa01d92639fd503f1543bae5c8c42874f8","schema_version":"1.0","event_id":"sha256:7e7d3204263bb416a61795bd5438c2aa01d92639fd503f1543bae5c8c42874f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:7UTUTHXN3CTEZCLAYRTZL2EBJ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Calculation of Feynman diagrams with zero mass threshold from their small momentum expansion","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"J. Fleischer, O.V. Tarasov, V.A. Smirnov","submitted_at":"1996-05-24T23:27:33Z","abstract_excerpt":"A method of calculating Feynman diagrams from their small momentum expansion [1] is extended to diagrams with zero mass thresholds. We start from the asymptotic expansion in large masses [2] (applied to the case when all $M_i^2$ are large compared to all momenta squared). Using dimensional regularization, a finite result is obtained in terms of powers of logarithms (describing the zero-threshold singularity) times power series in the momentum squared. Surprisingly, these latter ones represent functions, which not only have the expected physical `second threshold' but have a branchcut singulari"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9605392","kind":"arxiv","version":1},"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":"2026-05-18T01:38:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+hAFPpyC1FbfIzdeUBF94y+Li+awA0JeeyZNh2tGJDGtN12BKf04F+finhIpDzYRk/6I2ubNEnIK2Q7OXOc0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:15:32.777344Z"},"content_sha256":"df2c3d40023ff9ecbda38ac1a13db1ff028ee2d0c8480da470bcf0e1f1c092c0","schema_version":"1.0","event_id":"sha256:df2c3d40023ff9ecbda38ac1a13db1ff028ee2d0c8480da470bcf0e1f1c092c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7UTUTHXN3CTEZCLAYRTZL2EBJ6/bundle.json","state_url":"https://pith.science/pith/7UTUTHXN3CTEZCLAYRTZL2EBJ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7UTUTHXN3CTEZCLAYRTZL2EBJ6/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":"2026-06-02T04:15:32Z","links":{"resolver":"https://pith.science/pith/7UTUTHXN3CTEZCLAYRTZL2EBJ6","bundle":"https://pith.science/pith/7UTUTHXN3CTEZCLAYRTZL2EBJ6/bundle.json","state":"https://pith.science/pith/7UTUTHXN3CTEZCLAYRTZL2EBJ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7UTUTHXN3CTEZCLAYRTZL2EBJ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:7UTUTHXN3CTEZCLAYRTZL2EBJ6","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":"74514337c2cfe9f7e1287c5a79611b0ecfffc43d4505556b094009fda71514ba","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1996-05-24T23:27:33Z","title_canon_sha256":"e61031cbe423e4f258f50c178cd6e234c1a3011461b34498a2879d6a99db2e5a"},"schema_version":"1.0","source":{"id":"hep-ph/9605392","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9605392","created_at":"2026-05-18T01:38:59Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9605392v1","created_at":"2026-05-18T01:38:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9605392","created_at":"2026-05-18T01:38:59Z"},{"alias_kind":"pith_short_12","alias_value":"7UTUTHXN3CTE","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7UTUTHXN3CTEZCLA","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7UTUTHXN","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:df2c3d40023ff9ecbda38ac1a13db1ff028ee2d0c8480da470bcf0e1f1c092c0","target":"graph","created_at":"2026-05-18T01:38:59Z","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":"A method of calculating Feynman diagrams from their small momentum expansion [1] is extended to diagrams with zero mass thresholds. We start from the asymptotic expansion in large masses [2] (applied to the case when all $M_i^2$ are large compared to all momenta squared). Using dimensional regularization, a finite result is obtained in terms of powers of logarithms (describing the zero-threshold singularity) times power series in the momentum squared. Surprisingly, these latter ones represent functions, which not only have the expected physical `second threshold' but have a branchcut singulari","authors_text":"J. Fleischer, O.V. Tarasov, V.A. Smirnov","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1996-05-24T23:27:33Z","title":"Calculation of Feynman diagrams with zero mass threshold from their small momentum expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9605392","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":"sha256:7e7d3204263bb416a61795bd5438c2aa01d92639fd503f1543bae5c8c42874f8","target":"record","created_at":"2026-05-18T01:38:59Z","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":"74514337c2cfe9f7e1287c5a79611b0ecfffc43d4505556b094009fda71514ba","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1996-05-24T23:27:33Z","title_canon_sha256":"e61031cbe423e4f258f50c178cd6e234c1a3011461b34498a2879d6a99db2e5a"},"schema_version":"1.0","source":{"id":"hep-ph/9605392","kind":"arxiv","version":1}},"canonical_sha256":"fd27499eedd8a64c8960c46795e8814fba674c770519b43a785d6359a8c2d597","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd27499eedd8a64c8960c46795e8814fba674c770519b43a785d6359a8c2d597","first_computed_at":"2026-05-18T01:38:59.399054Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:59.399054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VdQzQ0Z+89Jaz11L5ufPGyqizyPz2lPBzQgxpoKoe9eW5kty+jen5K0CIIy6UkhkrgZ9EjUEEEPtZgM5SxgvAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:59.399756Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9605392","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e7d3204263bb416a61795bd5438c2aa01d92639fd503f1543bae5c8c42874f8","sha256:df2c3d40023ff9ecbda38ac1a13db1ff028ee2d0c8480da470bcf0e1f1c092c0"],"state_sha256":"bae500314b8b1e9492c2f5041c68ad867984bd8047c4a178cc5f3ddef8eb3d20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ekKVEpoONIsNyIKEtIMG84uKtqZvRD/7ptfal1+98QlXn+s1zxokoNIL/3VK/slUVNMlo78tiSuAFHUIn/IjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:15:32.779183Z","bundle_sha256":"665d81b9b2b25ea89eba7001281990206be3e768ddbe15d6b7e2eab235a883b6"}}