{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4OO4YWKKJDU4SGCXIJMWHD4CQU","short_pith_number":"pith:4OO4YWKK","canonical_record":{"source":{"id":"1304.3004","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-10T15:39:59Z","cross_cats_sorted":[],"title_canon_sha256":"83337bb97cc4788acfb9bba12450d71ca48cc59d32bb74e883abcb9fbe4f5dcf","abstract_canon_sha256":"61a5ddbfc5e42711240553b49b301ce69fc8699761d7dd6a0c669c82e4d39d2c"},"schema_version":"1.0"},"canonical_sha256":"e39dcc594a48e9c918574259638f82852992ed60db8275c5dc16478629b0eb77","source":{"kind":"arxiv","id":"1304.3004","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3004","created_at":"2026-05-18T01:50:40Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3004v2","created_at":"2026-05-18T01:50:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3004","created_at":"2026-05-18T01:50:40Z"},{"alias_kind":"pith_short_12","alias_value":"4OO4YWKKJDU4","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4OO4YWKKJDU4SGCX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4OO4YWKK","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4OO4YWKKJDU4SGCXIJMWHD4CQU","target":"record","payload":{"canonical_record":{"source":{"id":"1304.3004","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-10T15:39:59Z","cross_cats_sorted":[],"title_canon_sha256":"83337bb97cc4788acfb9bba12450d71ca48cc59d32bb74e883abcb9fbe4f5dcf","abstract_canon_sha256":"61a5ddbfc5e42711240553b49b301ce69fc8699761d7dd6a0c669c82e4d39d2c"},"schema_version":"1.0"},"canonical_sha256":"e39dcc594a48e9c918574259638f82852992ed60db8275c5dc16478629b0eb77","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:40.369625Z","signature_b64":"ystjbKR+SnpQ3i7iGb1bRhx6VEqWhwJqcqLW2T0ZtsrAp5/4Lhi7MAj6zPTq/uprfX2DE7mk6Z98H6MOwzogCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e39dcc594a48e9c918574259638f82852992ed60db8275c5dc16478629b0eb77","last_reissued_at":"2026-05-18T01:50:40.368968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:40.368968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.3004","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":"2026-05-18T01:50:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vk9ui6tYoCst4fCN0VoR0kbAnfTJR+dHGH397rVszj9N0fDR6xxXa59Nirjl/8yDwYb1tDPMxJkEC13BvTjyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:55:30.939682Z"},"content_sha256":"09219b00c73439a55b93f89103981a418edec1ead35a79e3a39e7e95543b865a","schema_version":"1.0","event_id":"sha256:09219b00c73439a55b93f89103981a418edec1ead35a79e3a39e7e95543b865a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4OO4YWKKJDU4SGCXIJMWHD4CQU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bernd Kniehl, Eduardo A. Notte-Cuello, Igor Kondrashuk, Ivan Parra Ferrada, Marko Rojas-Medar","submitted_at":"2013-04-10T15:39:59Z","abstract_excerpt":"In our previous paper [Nucl.Phys. B 870 (2013) 243], we showed that multi-fold Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions may be reduced to two-fold MB transforms. The MB transforms were written there as polynomials of logarithms of ratios of squares of the external momenta with certain coefficients. We also showed that these coefficients have a combinatoric origin. In this paper, we present an explicit formula for these coefficients. The procedure of recovering the coefficients is based on taking the double-uniform limit in certain series of smooth functions of two va"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3004","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":"2026-05-18T01:50:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e7Q2YCgkaTh/WIA5hEhG5Yt26CPzKQG9VA+Sw22jzQUXmHa3llkn0lw0BsXTpUHgVbsVPafVqARC7LLAwq6VCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:55:30.940214Z"},"content_sha256":"0a76afd97cce8ea04dc00d295aa7571eca22776b70dec10adfc0e90b7e4320b5","schema_version":"1.0","event_id":"sha256:0a76afd97cce8ea04dc00d295aa7571eca22776b70dec10adfc0e90b7e4320b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4OO4YWKKJDU4SGCXIJMWHD4CQU/bundle.json","state_url":"https://pith.science/pith/4OO4YWKKJDU4SGCXIJMWHD4CQU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4OO4YWKKJDU4SGCXIJMWHD4CQU/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":"2026-06-07T02:55:30Z","links":{"resolver":"https://pith.science/pith/4OO4YWKKJDU4SGCXIJMWHD4CQU","bundle":"https://pith.science/pith/4OO4YWKKJDU4SGCXIJMWHD4CQU/bundle.json","state":"https://pith.science/pith/4OO4YWKKJDU4SGCXIJMWHD4CQU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4OO4YWKKJDU4SGCXIJMWHD4CQU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4OO4YWKKJDU4SGCXIJMWHD4CQU","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":"61a5ddbfc5e42711240553b49b301ce69fc8699761d7dd6a0c669c82e4d39d2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-10T15:39:59Z","title_canon_sha256":"83337bb97cc4788acfb9bba12450d71ca48cc59d32bb74e883abcb9fbe4f5dcf"},"schema_version":"1.0","source":{"id":"1304.3004","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3004","created_at":"2026-05-18T01:50:40Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3004v2","created_at":"2026-05-18T01:50:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3004","created_at":"2026-05-18T01:50:40Z"},{"alias_kind":"pith_short_12","alias_value":"4OO4YWKKJDU4","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4OO4YWKKJDU4SGCX","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4OO4YWKK","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:0a76afd97cce8ea04dc00d295aa7571eca22776b70dec10adfc0e90b7e4320b5","target":"graph","created_at":"2026-05-18T01:50:40Z","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":"In our previous paper [Nucl.Phys. B 870 (2013) 243], we showed that multi-fold Mellin-Barnes (MB) transforms of Usyukina-Davydychev (UD) functions may be reduced to two-fold MB transforms. The MB transforms were written there as polynomials of logarithms of ratios of squares of the external momenta with certain coefficients. We also showed that these coefficients have a combinatoric origin. In this paper, we present an explicit formula for these coefficients. The procedure of recovering the coefficients is based on taking the double-uniform limit in certain series of smooth functions of two va","authors_text":"Bernd Kniehl, Eduardo A. Notte-Cuello, Igor Kondrashuk, Ivan Parra Ferrada, Marko Rojas-Medar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-10T15:39:59Z","title":"Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3004","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":"sha256:09219b00c73439a55b93f89103981a418edec1ead35a79e3a39e7e95543b865a","target":"record","created_at":"2026-05-18T01:50:40Z","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":"61a5ddbfc5e42711240553b49b301ce69fc8699761d7dd6a0c669c82e4d39d2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-04-10T15:39:59Z","title_canon_sha256":"83337bb97cc4788acfb9bba12450d71ca48cc59d32bb74e883abcb9fbe4f5dcf"},"schema_version":"1.0","source":{"id":"1304.3004","kind":"arxiv","version":2}},"canonical_sha256":"e39dcc594a48e9c918574259638f82852992ed60db8275c5dc16478629b0eb77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e39dcc594a48e9c918574259638f82852992ed60db8275c5dc16478629b0eb77","first_computed_at":"2026-05-18T01:50:40.368968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:40.368968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ystjbKR+SnpQ3i7iGb1bRhx6VEqWhwJqcqLW2T0ZtsrAp5/4Lhi7MAj6zPTq/uprfX2DE7mk6Z98H6MOwzogCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:40.369625Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3004","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09219b00c73439a55b93f89103981a418edec1ead35a79e3a39e7e95543b865a","sha256:0a76afd97cce8ea04dc00d295aa7571eca22776b70dec10adfc0e90b7e4320b5"],"state_sha256":"54520ede86dc65778e612da5cfc30a42e13084e7598c79bfd4309ca9237b397a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4qz7Y21k/65NSNFU+4UBrjCGGzwcWA2x2B3rFmLxBwPeQBcUZ3IgyAgeBT5mr28gjFxtiI8FEyFT0p5SQiA5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:55:30.942854Z","bundle_sha256":"aabd35965f3741add243c1cd823f170145c5a599f3fd6658efa4d3e78d0fd02d"}}