{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:G7ZXY3X77HYE3AFTMKOH2DSVBU","short_pith_number":"pith:G7ZXY3X7","canonical_record":{"source":{"id":"1806.06072","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2018-06-15T18:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"25aa800d37aa3330fe40c9fe018f3cc9f2f1d5bfc80f4c3599c1ec6a4be98a00","abstract_canon_sha256":"b2d31df3d5206e96611410d0b337100a698eff614aca18daa11ebb624ad8f3a0"},"schema_version":"1.0"},"canonical_sha256":"37f37c6efff9f04d80b3629c7d0e550d04460a6a2d1a763d0066065ee5978e02","source":{"kind":"arxiv","id":"1806.06072","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06072","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06072v1","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06072","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"G7ZXY3X77HYE","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"G7ZXY3X77HYE3AFT","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"G7ZXY3X7","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:G7ZXY3X77HYE3AFTMKOH2DSVBU","target":"record","payload":{"canonical_record":{"source":{"id":"1806.06072","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2018-06-15T18:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"25aa800d37aa3330fe40c9fe018f3cc9f2f1d5bfc80f4c3599c1ec6a4be98a00","abstract_canon_sha256":"b2d31df3d5206e96611410d0b337100a698eff614aca18daa11ebb624ad8f3a0"},"schema_version":"1.0"},"canonical_sha256":"37f37c6efff9f04d80b3629c7d0e550d04460a6a2d1a763d0066065ee5978e02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:55.011762Z","signature_b64":"V7IeISNppga/ODnUi6sLHthdTpDLh1xBRYkUvm8fojekmL4wZaU3NMs7KLQBPSCKK5bup14KFMQYtfychxFKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37f37c6efff9f04d80b3629c7d0e550d04460a6a2d1a763d0066065ee5978e02","last_reissued_at":"2026-05-18T00:00:55.011118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:55.011118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.06072","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":"2026-05-18T00:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J3V+0JxuQQCWftohdwxISq7Un8TqT893MUAUwV6C9PRh4b+2Zm7o1olQDGC3v77oW9no1y4a6AK3947vTf9XDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:23:48.894038Z"},"content_sha256":"45d81aa1c83b1d0d52c1cfd31c1f7f4c29f2aadf3bff3168a35c9adbf5545f5c","schema_version":"1.0","event_id":"sha256:45d81aa1c83b1d0d52c1cfd31c1f7f4c29f2aadf3bff3168a35c9adbf5545f5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:G7ZXY3X77HYE3AFTMKOH2DSVBU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bootstrapping two-loop Feynman integrals for planar N=4 sYM","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Enrico Herrmann, Johannes Henn, Julio Parra-Martinez","submitted_at":"2018-06-15T18:00:05Z","abstract_excerpt":"We derive analytic results for the symbol of certain two-loop Feynman integrals relevant for seven- and eight-point two-loop scattering amplitudes in planar $\\mathcal{N}=4$ super-Yang--Mills theory. We use a bootstrap inspired strategy, combined with a set of second-order partial differential equations that provide powerful constraints on the symbol ansatz. When the complete symbol alphabet is not available, we adopt a hybrid approach. Instead of the full function, we bootstrap a certain discontinuity for which the alphabet is known. Then we write a one-fold dispersion integral to recover the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06072","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":"2026-05-18T00:00:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"trLnSS+NqfffR5Njxp2HDPdlVpVYNHEGNF06AFn6xwU/AS5+7Vf70Up18qazhYK09IIH4zq2WnzoPImS0DzKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:23:48.894462Z"},"content_sha256":"6cc09c3b1ea367ee3b885d85939f5320931ccd6d967b74d612c49a324d6a242b","schema_version":"1.0","event_id":"sha256:6cc09c3b1ea367ee3b885d85939f5320931ccd6d967b74d612c49a324d6a242b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G7ZXY3X77HYE3AFTMKOH2DSVBU/bundle.json","state_url":"https://pith.science/pith/G7ZXY3X77HYE3AFTMKOH2DSVBU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G7ZXY3X77HYE3AFTMKOH2DSVBU/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":"2026-05-25T21:23:48Z","links":{"resolver":"https://pith.science/pith/G7ZXY3X77HYE3AFTMKOH2DSVBU","bundle":"https://pith.science/pith/G7ZXY3X77HYE3AFTMKOH2DSVBU/bundle.json","state":"https://pith.science/pith/G7ZXY3X77HYE3AFTMKOH2DSVBU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G7ZXY3X77HYE3AFTMKOH2DSVBU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:G7ZXY3X77HYE3AFTMKOH2DSVBU","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":"b2d31df3d5206e96611410d0b337100a698eff614aca18daa11ebb624ad8f3a0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2018-06-15T18:00:05Z","title_canon_sha256":"25aa800d37aa3330fe40c9fe018f3cc9f2f1d5bfc80f4c3599c1ec6a4be98a00"},"schema_version":"1.0","source":{"id":"1806.06072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06072","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06072v1","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06072","created_at":"2026-05-18T00:00:55Z"},{"alias_kind":"pith_short_12","alias_value":"G7ZXY3X77HYE","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"G7ZXY3X77HYE3AFT","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"G7ZXY3X7","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:6cc09c3b1ea367ee3b885d85939f5320931ccd6d967b74d612c49a324d6a242b","target":"graph","created_at":"2026-05-18T00:00:55Z","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 derive analytic results for the symbol of certain two-loop Feynman integrals relevant for seven- and eight-point two-loop scattering amplitudes in planar $\\mathcal{N}=4$ super-Yang--Mills theory. We use a bootstrap inspired strategy, combined with a set of second-order partial differential equations that provide powerful constraints on the symbol ansatz. When the complete symbol alphabet is not available, we adopt a hybrid approach. Instead of the full function, we bootstrap a certain discontinuity for which the alphabet is known. Then we write a one-fold dispersion integral to recover the ","authors_text":"Enrico Herrmann, Johannes Henn, Julio Parra-Martinez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2018-06-15T18:00:05Z","title":"Bootstrapping two-loop Feynman integrals for planar N=4 sYM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06072","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":"sha256:45d81aa1c83b1d0d52c1cfd31c1f7f4c29f2aadf3bff3168a35c9adbf5545f5c","target":"record","created_at":"2026-05-18T00:00:55Z","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":"b2d31df3d5206e96611410d0b337100a698eff614aca18daa11ebb624ad8f3a0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2018-06-15T18:00:05Z","title_canon_sha256":"25aa800d37aa3330fe40c9fe018f3cc9f2f1d5bfc80f4c3599c1ec6a4be98a00"},"schema_version":"1.0","source":{"id":"1806.06072","kind":"arxiv","version":1}},"canonical_sha256":"37f37c6efff9f04d80b3629c7d0e550d04460a6a2d1a763d0066065ee5978e02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37f37c6efff9f04d80b3629c7d0e550d04460a6a2d1a763d0066065ee5978e02","first_computed_at":"2026-05-18T00:00:55.011118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:55.011118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V7IeISNppga/ODnUi6sLHthdTpDLh1xBRYkUvm8fojekmL4wZaU3NMs7KLQBPSCKK5bup14KFMQYtfychxFKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:55.011762Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45d81aa1c83b1d0d52c1cfd31c1f7f4c29f2aadf3bff3168a35c9adbf5545f5c","sha256:6cc09c3b1ea367ee3b885d85939f5320931ccd6d967b74d612c49a324d6a242b"],"state_sha256":"8d8f47ceefbc6c47ee6ef935d5c927a2d3ed44ad130b7071c5b500727970cc86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RFMxztmlgGQ5vZM3gNksTOnFLPrcZzdaYgLiT1OMM47Cm97QgXELZQfkCi93idAMeE2hIW4lLggfuI/eLvkqAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:23:48.897542Z","bundle_sha256":"cac7b433031ec5a9e92534a75225114b9fb09e33532cc274a2d203924c1040f2"}}