{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XKU6ARFAJ4WIUNHP5DRI5JLKA4","short_pith_number":"pith:XKU6ARFA","canonical_record":{"source":{"id":"1810.06270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-15T11:06:07Z","cross_cats_sorted":[],"title_canon_sha256":"e0ba806d061677c969ba367dbfb4255282b055f381e2099fb5d3688a3a8c9b8a","abstract_canon_sha256":"eb57e4c9aecb47bdd7de50b98be1514b89de957a05dcfc12d33333d6e449d6ef"},"schema_version":"1.0"},"canonical_sha256":"baa9e044a04f2c8a34efe8e28ea56a0736069a368cacfd81913a8bdbb38870aa","source":{"kind":"arxiv","id":"1810.06270","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06270","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06270v2","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06270","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"pith_short_12","alias_value":"XKU6ARFAJ4WI","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XKU6ARFAJ4WIUNHP","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XKU6ARFA","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XKU6ARFAJ4WIUNHP5DRI5JLKA4","target":"record","payload":{"canonical_record":{"source":{"id":"1810.06270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-15T11:06:07Z","cross_cats_sorted":[],"title_canon_sha256":"e0ba806d061677c969ba367dbfb4255282b055f381e2099fb5d3688a3a8c9b8a","abstract_canon_sha256":"eb57e4c9aecb47bdd7de50b98be1514b89de957a05dcfc12d33333d6e449d6ef"},"schema_version":"1.0"},"canonical_sha256":"baa9e044a04f2c8a34efe8e28ea56a0736069a368cacfd81913a8bdbb38870aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:25.975084Z","signature_b64":"GKTSvAz7G27vnbhAMg76zchL4XBiKP6nr6C58MNpv4ivvakjVTkGvjUuHvl/G/cahZ6WBMMfq3Tx9vU4COauDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"baa9e044a04f2c8a34efe8e28ea56a0736069a368cacfd81913a8bdbb38870aa","last_reissued_at":"2026-05-17T23:53:25.974424Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:25.974424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.06270","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wlvUARrrZlM5AEr5bTRsLPKSs2zXskuC7WncaVpdnjrhJXXArZoUnuwFfhP+gqqIRUMcIpJs+IW89SaUDew6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:31:55.037990Z"},"content_sha256":"5859613a9c1c379084508133b0b37455a79c0324029b4931bf58e62dc519a16c","schema_version":"1.0","event_id":"sha256:5859613a9c1c379084508133b0b37455a79c0324029b4931bf58e62dc519a16c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XKU6ARFAJ4WIUNHP5DRI5JLKA4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Abhishek Pal, B. Ananthanarayan, Ratan Sarkar, S. Ramanan","submitted_at":"2018-10-15T11:06:07Z","abstract_excerpt":"We introduce a novel approach for solving the problem of identifying regions in the framework of Method of Regions by considering singularities and the associated Landau equations given a multi-scale Feynman diagram. These equations are then analyzed by an expansion in a small threshold parameter via the Power Geometry technique. This effectively leads to the analysis of Newton Polytopes which are evaluated using a Mathematica based convex hull program. Furthermore, the elements of the Gr\\\"{o}bner Basis of the Landau Equations give a family of transformations, which when applied, reveal region"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06270","kind":"arxiv","version":2},"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":"2026-05-17T23:53:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BUu0NCuWchGWa6pWi5fdcnXrNCtQbbz28qIdLEOPq1H22KCcmVG7x92zCh3CcLUDTUPuqCUggXbZxdTMeHG8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T15:31:55.038699Z"},"content_sha256":"a6a617293d44cfb9379ffef3a0fa1efd72b2e6a7cf1d53f65d1eb5fb4516b069","schema_version":"1.0","event_id":"sha256:a6a617293d44cfb9379ffef3a0fa1efd72b2e6a7cf1d53f65d1eb5fb4516b069"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XKU6ARFAJ4WIUNHP5DRI5JLKA4/bundle.json","state_url":"https://pith.science/pith/XKU6ARFAJ4WIUNHP5DRI5JLKA4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XKU6ARFAJ4WIUNHP5DRI5JLKA4/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":"2026-05-22T15:31:55Z","links":{"resolver":"https://pith.science/pith/XKU6ARFAJ4WIUNHP5DRI5JLKA4","bundle":"https://pith.science/pith/XKU6ARFAJ4WIUNHP5DRI5JLKA4/bundle.json","state":"https://pith.science/pith/XKU6ARFAJ4WIUNHP5DRI5JLKA4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XKU6ARFAJ4WIUNHP5DRI5JLKA4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XKU6ARFAJ4WIUNHP5DRI5JLKA4","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":"eb57e4c9aecb47bdd7de50b98be1514b89de957a05dcfc12d33333d6e449d6ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-15T11:06:07Z","title_canon_sha256":"e0ba806d061677c969ba367dbfb4255282b055f381e2099fb5d3688a3a8c9b8a"},"schema_version":"1.0","source":{"id":"1810.06270","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06270","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06270v2","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06270","created_at":"2026-05-17T23:53:25Z"},{"alias_kind":"pith_short_12","alias_value":"XKU6ARFAJ4WI","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XKU6ARFAJ4WIUNHP","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XKU6ARFA","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:a6a617293d44cfb9379ffef3a0fa1efd72b2e6a7cf1d53f65d1eb5fb4516b069","target":"graph","created_at":"2026-05-17T23:53:25Z","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 introduce a novel approach for solving the problem of identifying regions in the framework of Method of Regions by considering singularities and the associated Landau equations given a multi-scale Feynman diagram. These equations are then analyzed by an expansion in a small threshold parameter via the Power Geometry technique. This effectively leads to the analysis of Newton Polytopes which are evaluated using a Mathematica based convex hull program. Furthermore, the elements of the Gr\\\"{o}bner Basis of the Landau Equations give a family of transformations, which when applied, reveal region","authors_text":"Abhishek Pal, B. Ananthanarayan, Ratan Sarkar, S. Ramanan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-15T11:06:07Z","title":"Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06270","kind":"arxiv","version":2},"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":"sha256:5859613a9c1c379084508133b0b37455a79c0324029b4931bf58e62dc519a16c","target":"record","created_at":"2026-05-17T23:53:25Z","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":"eb57e4c9aecb47bdd7de50b98be1514b89de957a05dcfc12d33333d6e449d6ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-10-15T11:06:07Z","title_canon_sha256":"e0ba806d061677c969ba367dbfb4255282b055f381e2099fb5d3688a3a8c9b8a"},"schema_version":"1.0","source":{"id":"1810.06270","kind":"arxiv","version":2}},"canonical_sha256":"baa9e044a04f2c8a34efe8e28ea56a0736069a368cacfd81913a8bdbb38870aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"baa9e044a04f2c8a34efe8e28ea56a0736069a368cacfd81913a8bdbb38870aa","first_computed_at":"2026-05-17T23:53:25.974424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:25.974424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GKTSvAz7G27vnbhAMg76zchL4XBiKP6nr6C58MNpv4ivvakjVTkGvjUuHvl/G/cahZ6WBMMfq3Tx9vU4COauDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:25.975084Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.06270","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5859613a9c1c379084508133b0b37455a79c0324029b4931bf58e62dc519a16c","sha256:a6a617293d44cfb9379ffef3a0fa1efd72b2e6a7cf1d53f65d1eb5fb4516b069"],"state_sha256":"db76f42819d3d19832e8e949bef7b50574fe39eee6c00a31e110fe4555434725"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"10YfYQTNoMlk3xdCywMR1TcjnGKCRoTfXR0u7cFo7kGy9RFdkLJaduDtMHwrIyeF2k54UKTGpdJcKU2iwcjaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T15:31:55.042688Z","bundle_sha256":"51c2ad1510f930f29b46bf01be5959c545a4aa2945266cb9b4330345a45e4cf5"}}