{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ECULTRUDONMAFR35NFJVPFFRIO","short_pith_number":"pith:ECULTRUD","canonical_record":{"source":{"id":"1803.00527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-01T17:50:19Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f9a95015dcf25b1c95c034d039c87b7fb6772adfb0f8f6570bfa41cfb1338e0f","abstract_canon_sha256":"6e3b65a5a3fa9f72370a3a60ba70dd58fc37ca2ea789f5391fe51c6803e2ce88"},"schema_version":"1.0"},"canonical_sha256":"20a8b9c683735802c77d69535794b143860cac79f8c4a8e4a18a336e988f8f6c","source":{"kind":"arxiv","id":"1803.00527","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00527","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00527v2","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00527","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"pith_short_12","alias_value":"ECULTRUDONMA","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ECULTRUDONMAFR35","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ECULTRUD","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ECULTRUDONMAFR35NFJVPFFRIO","target":"record","payload":{"canonical_record":{"source":{"id":"1803.00527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-01T17:50:19Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f9a95015dcf25b1c95c034d039c87b7fb6772adfb0f8f6570bfa41cfb1338e0f","abstract_canon_sha256":"6e3b65a5a3fa9f72370a3a60ba70dd58fc37ca2ea789f5391fe51c6803e2ce88"},"schema_version":"1.0"},"canonical_sha256":"20a8b9c683735802c77d69535794b143860cac79f8c4a8e4a18a336e988f8f6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:18.543001Z","signature_b64":"/tUbBHLOQW18vmfztk+K04vjb+zfh9RizJr5+e1nDuTwxJ1X7uknv2mFAaOywwqrjNeXCw3JtkNSDSxYJoxhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20a8b9c683735802c77d69535794b143860cac79f8c4a8e4a18a336e988f8f6c","last_reissued_at":"2026-05-17T23:52:18.542217Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:18.542217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.00527","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":"2026-05-17T23:52:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2HVZ6W1+fBbvMEYBV0eZ7muQ7/OsYVyIoGWJZkn3KLGtE3lHjQqyg3L4PPQ/uU/j1Ke3EG3uFtWzF+I0kwYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:08:48.428452Z"},"content_sha256":"6c78245269ca6ba22cb03d5832b117bbb0b273898f7d901a562d191737ea80c6","schema_version":"1.0","event_id":"sha256:6c78245269ca6ba22cb03d5832b117bbb0b273898f7d901a562d191737ea80c6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ECULTRUDONMAFR35NFJVPFFRIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Federico Zerbini, Johannes Broedel, Oliver Schlotterer","submitted_at":"2018-03-01T17:50:19Z","abstract_excerpt":"We relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integration over closed-string punctures are observed to follow from symmetrized open-string integrals through a tentative generalization of the single-valued projection known from genus zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00527","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":"2026-05-17T23:52:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bdWvdImyndd1d6/mFHI56GbWa85QnxM7uDDhcJgNfuJNL1EAfPc/S4S5vazNxD8eV1fbyX74ndSt6mph8zCwDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:08:48.429119Z"},"content_sha256":"78694e91cfeb6d65b2e70c00c3fc0870f5124893849debf2492fcd83072e0a5d","schema_version":"1.0","event_id":"sha256:78694e91cfeb6d65b2e70c00c3fc0870f5124893849debf2492fcd83072e0a5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ECULTRUDONMAFR35NFJVPFFRIO/bundle.json","state_url":"https://pith.science/pith/ECULTRUDONMAFR35NFJVPFFRIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ECULTRUDONMAFR35NFJVPFFRIO/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":"2026-05-30T10:08:48Z","links":{"resolver":"https://pith.science/pith/ECULTRUDONMAFR35NFJVPFFRIO","bundle":"https://pith.science/pith/ECULTRUDONMAFR35NFJVPFFRIO/bundle.json","state":"https://pith.science/pith/ECULTRUDONMAFR35NFJVPFFRIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ECULTRUDONMAFR35NFJVPFFRIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ECULTRUDONMAFR35NFJVPFFRIO","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":"6e3b65a5a3fa9f72370a3a60ba70dd58fc37ca2ea789f5391fe51c6803e2ce88","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-01T17:50:19Z","title_canon_sha256":"f9a95015dcf25b1c95c034d039c87b7fb6772adfb0f8f6570bfa41cfb1338e0f"},"schema_version":"1.0","source":{"id":"1803.00527","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00527","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00527v2","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00527","created_at":"2026-05-17T23:52:18Z"},{"alias_kind":"pith_short_12","alias_value":"ECULTRUDONMA","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ECULTRUDONMAFR35","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ECULTRUD","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:78694e91cfeb6d65b2e70c00c3fc0870f5124893849debf2492fcd83072e0a5d","target":"graph","created_at":"2026-05-17T23:52:18Z","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 relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integration over closed-string punctures are observed to follow from symmetrized open-string integrals through a tentative generalization of the single-valued projection known from genus zero.","authors_text":"Federico Zerbini, Johannes Broedel, Oliver Schlotterer","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-01T17:50:19Z","title":"From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00527","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":"sha256:6c78245269ca6ba22cb03d5832b117bbb0b273898f7d901a562d191737ea80c6","target":"record","created_at":"2026-05-17T23:52:18Z","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":"6e3b65a5a3fa9f72370a3a60ba70dd58fc37ca2ea789f5391fe51c6803e2ce88","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-01T17:50:19Z","title_canon_sha256":"f9a95015dcf25b1c95c034d039c87b7fb6772adfb0f8f6570bfa41cfb1338e0f"},"schema_version":"1.0","source":{"id":"1803.00527","kind":"arxiv","version":2}},"canonical_sha256":"20a8b9c683735802c77d69535794b143860cac79f8c4a8e4a18a336e988f8f6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20a8b9c683735802c77d69535794b143860cac79f8c4a8e4a18a336e988f8f6c","first_computed_at":"2026-05-17T23:52:18.542217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:18.542217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/tUbBHLOQW18vmfztk+K04vjb+zfh9RizJr5+e1nDuTwxJ1X7uknv2mFAaOywwqrjNeXCw3JtkNSDSxYJoxhBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:18.543001Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00527","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c78245269ca6ba22cb03d5832b117bbb0b273898f7d901a562d191737ea80c6","sha256:78694e91cfeb6d65b2e70c00c3fc0870f5124893849debf2492fcd83072e0a5d"],"state_sha256":"f81a12b040cc3fde6cec8e06a530e8452f25f6f085475a85dd3c553852d9a07a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Vf1ej8i0ipFrbWNtX0nYMFt589BJpLPA0p4hgxXY+Jr0uhjxYlpQPXhk9CgFffmQf1bC3/sPmsTcHjW0+6NBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:08:48.433193Z","bundle_sha256":"f6187b943ce12cdb1f4f0f8195f2cb16819a0279868b66021a7719fad6c2d05b"}}