{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:QY7W6PQ4ZE7IGAI4KMNW47KZXJ","short_pith_number":"pith:QY7W6PQ4","canonical_record":{"source":{"id":"2506.05042","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-05T13:47:31Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"58f0e2fab07102ec1a5bdee2f6e8c035c546768e0694a4f3eb708625e961094a","abstract_canon_sha256":"ca39e4843b906ee640bb057bbb06cf4019ff86958a43a3b23d9304a20a314211"},"schema_version":"1.0"},"canonical_sha256":"863f6f3e1cc93e83011c531b6e7d59ba794f3d39a05e44f907d0c5ed36194639","source":{"kind":"arxiv","id":"2506.05042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05042","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05042v1","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05042","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"pith_short_12","alias_value":"QY7W6PQ4ZE7I","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"pith_short_16","alias_value":"QY7W6PQ4ZE7IGAI4","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"pith_short_8","alias_value":"QY7W6PQ4","created_at":"2026-07-05T11:16:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:QY7W6PQ4ZE7IGAI4KMNW47KZXJ","target":"record","payload":{"canonical_record":{"source":{"id":"2506.05042","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-05T13:47:31Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"58f0e2fab07102ec1a5bdee2f6e8c035c546768e0694a4f3eb708625e961094a","abstract_canon_sha256":"ca39e4843b906ee640bb057bbb06cf4019ff86958a43a3b23d9304a20a314211"},"schema_version":"1.0"},"canonical_sha256":"863f6f3e1cc93e83011c531b6e7d59ba794f3d39a05e44f907d0c5ed36194639","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:16:41.492900Z","signature_b64":"Hq/wmeMOUyJxkrvMnsqTRMgnJT1SFLmeE0Fyhg9YlOS0/Ikrjg5wmfgpgNgaIRb2HFfuKt5U1Bi0DbThh9sKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"863f6f3e1cc93e83011c531b6e7d59ba794f3d39a05e44f907d0c5ed36194639","last_reissued_at":"2026-07-05T11:16:41.492386Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:16:41.492386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.05042","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":"2026-07-05T11:16:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Co4/g/l2/LtNQJtnzjWAaj0BYVrVv2zKNxhTcYEJtjHfph10kdRldCREfBlv4F87C30uYyy5vjKLJ+VK2puCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:47:04.633994Z"},"content_sha256":"4b8e922bc3aad3162f5804363b970e0a5189c573a2fa0a3c17b7d8552956e031","schema_version":"1.0","event_id":"sha256:4b8e922bc3aad3162f5804363b970e0a5189c573a2fa0a3c17b7d8552956e031"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:QY7W6PQ4ZE7IGAI4KMNW47KZXJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Singularities of Feynman Integrals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Felix Tellander, Martin Helmer","submitted_at":"2025-06-05T13:47:31Z","abstract_excerpt":"We provide a new method to calculate the full microlocal description of singularities of Feynman integrals. This is done by associating a unique constructible function to the system of partial differential equations (PDEs) annihilating the integral and from this function the singularities can directly be read-off. This function can be constructed explicitly even if the system of PDEs is unknown and describes both the location of the singularities and the number of master integrals on them. Our framework is flexible enough to preform the calculation in any of the Lee-Pomeransky, Feynman, or mom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05042","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.05042/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":"2026-07-05T11:16:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KqM6UyKNQTMP4ylQU0WuueL/1DpouGieQJUXJ+z3KKb7dH/JtHxe111JYTDKWsrd12wrANBPJD88/4QRP5QrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T11:47:04.634475Z"},"content_sha256":"bc6dcbf4bacaa4f76ff4edf2faaf2fdb15f9179a2f228aa1e15345b768cec1a1","schema_version":"1.0","event_id":"sha256:bc6dcbf4bacaa4f76ff4edf2faaf2fdb15f9179a2f228aa1e15345b768cec1a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QY7W6PQ4ZE7IGAI4KMNW47KZXJ/bundle.json","state_url":"https://pith.science/pith/QY7W6PQ4ZE7IGAI4KMNW47KZXJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QY7W6PQ4ZE7IGAI4KMNW47KZXJ/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":"2026-08-06T11:47:04Z","links":{"resolver":"https://pith.science/pith/QY7W6PQ4ZE7IGAI4KMNW47KZXJ","bundle":"https://pith.science/pith/QY7W6PQ4ZE7IGAI4KMNW47KZXJ/bundle.json","state":"https://pith.science/pith/QY7W6PQ4ZE7IGAI4KMNW47KZXJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QY7W6PQ4ZE7IGAI4KMNW47KZXJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QY7W6PQ4ZE7IGAI4KMNW47KZXJ","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":"ca39e4843b906ee640bb057bbb06cf4019ff86958a43a3b23d9304a20a314211","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-05T13:47:31Z","title_canon_sha256":"58f0e2fab07102ec1a5bdee2f6e8c035c546768e0694a4f3eb708625e961094a"},"schema_version":"1.0","source":{"id":"2506.05042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05042","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05042v1","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05042","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"pith_short_12","alias_value":"QY7W6PQ4ZE7I","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"pith_short_16","alias_value":"QY7W6PQ4ZE7IGAI4","created_at":"2026-07-05T11:16:41Z"},{"alias_kind":"pith_short_8","alias_value":"QY7W6PQ4","created_at":"2026-07-05T11:16:41Z"}],"graph_snapshots":[{"event_id":"sha256:bc6dcbf4bacaa4f76ff4edf2faaf2fdb15f9179a2f228aa1e15345b768cec1a1","target":"graph","created_at":"2026-07-05T11:16:41Z","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/2506.05042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a new method to calculate the full microlocal description of singularities of Feynman integrals. This is done by associating a unique constructible function to the system of partial differential equations (PDEs) annihilating the integral and from this function the singularities can directly be read-off. This function can be constructed explicitly even if the system of PDEs is unknown and describes both the location of the singularities and the number of master integrals on them. Our framework is flexible enough to preform the calculation in any of the Lee-Pomeransky, Feynman, or mom","authors_text":"Felix Tellander, Martin Helmer","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-05T13:47:31Z","title":"Geometric Singularities of Feynman Integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05042","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":"sha256:4b8e922bc3aad3162f5804363b970e0a5189c573a2fa0a3c17b7d8552956e031","target":"record","created_at":"2026-07-05T11:16:41Z","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":"ca39e4843b906ee640bb057bbb06cf4019ff86958a43a3b23d9304a20a314211","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-05T13:47:31Z","title_canon_sha256":"58f0e2fab07102ec1a5bdee2f6e8c035c546768e0694a4f3eb708625e961094a"},"schema_version":"1.0","source":{"id":"2506.05042","kind":"arxiv","version":1}},"canonical_sha256":"863f6f3e1cc93e83011c531b6e7d59ba794f3d39a05e44f907d0c5ed36194639","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"863f6f3e1cc93e83011c531b6e7d59ba794f3d39a05e44f907d0c5ed36194639","first_computed_at":"2026-07-05T11:16:41.492386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:16:41.492386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hq/wmeMOUyJxkrvMnsqTRMgnJT1SFLmeE0Fyhg9YlOS0/Ikrjg5wmfgpgNgaIRb2HFfuKt5U1Bi0DbThh9sKCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:16:41.492900Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.05042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b8e922bc3aad3162f5804363b970e0a5189c573a2fa0a3c17b7d8552956e031","sha256:bc6dcbf4bacaa4f76ff4edf2faaf2fdb15f9179a2f228aa1e15345b768cec1a1"],"state_sha256":"86d664c5fd4a8c411c70cc43a68293ee7fcc7c855a143866fa5422f866005fc6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YOOamM57OW0DfMJdBuiIEoxwsJol/5JiYQFWZzTukpBa3K3Eek3CF0xrAs3ZHPlRU4vK60escmuohRL7UWhjBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T11:47:04.637655Z","bundle_sha256":"344f2eb5a5779a92ab01dd397911884fed59767dd41c8dc23ce387f9e86cd29d"}}