{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:S4RWX24JWZVS5Y24FDUZNOAT6H","short_pith_number":"pith:S4RWX24J","canonical_record":{"source":{"id":"2002.09492","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-02-21T19:00:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5b7ac69074178b39c9b70671cda95c0c909c4a76cc557ec5375160ff31f549a1","abstract_canon_sha256":"65c02b727cc80a36d7fd83138b5557fe6e63be5e8b2ac8188b70f5b487f7160f"},"schema_version":"1.0"},"canonical_sha256":"97236beb89b66b2ee35c28e996b813f1e967cfa6fd713cf0da4a43b4ef23c6af","source":{"kind":"arxiv","id":"2002.09492","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.09492","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"arxiv_version","alias_value":"2002.09492v2","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.09492","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"pith_short_12","alias_value":"S4RWX24JWZVS","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"pith_short_16","alias_value":"S4RWX24JWZVS5Y24","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"pith_short_8","alias_value":"S4RWX24J","created_at":"2026-07-05T01:04:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:S4RWX24JWZVS5Y24FDUZNOAT6H","target":"record","payload":{"canonical_record":{"source":{"id":"2002.09492","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-02-21T19:00:00Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5b7ac69074178b39c9b70671cda95c0c909c4a76cc557ec5375160ff31f549a1","abstract_canon_sha256":"65c02b727cc80a36d7fd83138b5557fe6e63be5e8b2ac8188b70f5b487f7160f"},"schema_version":"1.0"},"canonical_sha256":"97236beb89b66b2ee35c28e996b813f1e967cfa6fd713cf0da4a43b4ef23c6af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:04:16.575780Z","signature_b64":"AdjdvX4jHZ0DmXZJM88IjR/WIAhANMVDxjVbtBvK6lqICVhNRa7rwX2amg98WYWyXoK4Hj0OR1ig7QExp6UIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97236beb89b66b2ee35c28e996b813f1e967cfa6fd713cf0da4a43b4ef23c6af","last_reissued_at":"2026-07-05T01:04:16.575272Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:04:16.575272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2002.09492","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":"2026-07-05T01:04:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7NC6yP+pzzVpf9JYLOJERfj/oxB6f7JzVuuJOHO/XuW5r2pG+P4OuaZO+TTP9ewbqBv7G14yQ6y7gKc7j/TMDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:40:01.968826Z"},"content_sha256":"581af5aa80127bec1c6625589293ffebaeaf3189744259578b23a8c418e50f3f","schema_version":"1.0","event_id":"sha256:581af5aa80127bec1c6625589293ffebaeaf3189744259578b23a8c418e50f3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:S4RWX24JWZVS5Y24FDUZNOAT6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constructing d-log integrands and computing master integrals for three-loop four-particle scattering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Bernhard Mistlberger, Johannes Henn, Pascal Wasser, Vladimir A. Smirnov","submitted_at":"2020-02-21T19:00:00Z","abstract_excerpt":"We compute all master integrals for massless three-loop four-particle scattering amplitudes required for processes like di-jet or di-photon production at the LHC. We present our result in terms of a Laurent expansion of the integrals in the dimensional regulator up to 8$^{\\text{th}}$ power, with coefficients expressed in terms of harmonic polylogarithms. As a basis of master integrals we choose integrals with integrands that only have logarithmic poles - called $d$log forms. This choice greatly facilitates the subsequent computation via the method of differential equations. We detail how this "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.09492","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.09492/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":"2026-07-05T01:04:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RXcZGaoocAkvDYC3FuGvS6wV36wEBnDzjG6cK54z6bhNhUx+iAYkKex/MYv5hxdi6nVJmZBXpxzSXMTiEBkqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:40:01.969797Z"},"content_sha256":"5576674e2c795a083d3a4019ca7d7ff80fec27358531dc6c02f63d5b7f311de2","schema_version":"1.0","event_id":"sha256:5576674e2c795a083d3a4019ca7d7ff80fec27358531dc6c02f63d5b7f311de2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S4RWX24JWZVS5Y24FDUZNOAT6H/bundle.json","state_url":"https://pith.science/pith/S4RWX24JWZVS5Y24FDUZNOAT6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S4RWX24JWZVS5Y24FDUZNOAT6H/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":"2026-08-03T21:40:01Z","links":{"resolver":"https://pith.science/pith/S4RWX24JWZVS5Y24FDUZNOAT6H","bundle":"https://pith.science/pith/S4RWX24JWZVS5Y24FDUZNOAT6H/bundle.json","state":"https://pith.science/pith/S4RWX24JWZVS5Y24FDUZNOAT6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S4RWX24JWZVS5Y24FDUZNOAT6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:S4RWX24JWZVS5Y24FDUZNOAT6H","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":"65c02b727cc80a36d7fd83138b5557fe6e63be5e8b2ac8188b70f5b487f7160f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-02-21T19:00:00Z","title_canon_sha256":"5b7ac69074178b39c9b70671cda95c0c909c4a76cc557ec5375160ff31f549a1"},"schema_version":"1.0","source":{"id":"2002.09492","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.09492","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"arxiv_version","alias_value":"2002.09492v2","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.09492","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"pith_short_12","alias_value":"S4RWX24JWZVS","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"pith_short_16","alias_value":"S4RWX24JWZVS5Y24","created_at":"2026-07-05T01:04:16Z"},{"alias_kind":"pith_short_8","alias_value":"S4RWX24J","created_at":"2026-07-05T01:04:16Z"}],"graph_snapshots":[{"event_id":"sha256:5576674e2c795a083d3a4019ca7d7ff80fec27358531dc6c02f63d5b7f311de2","target":"graph","created_at":"2026-07-05T01:04:16Z","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/2002.09492/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute all master integrals for massless three-loop four-particle scattering amplitudes required for processes like di-jet or di-photon production at the LHC. We present our result in terms of a Laurent expansion of the integrals in the dimensional regulator up to 8$^{\\text{th}}$ power, with coefficients expressed in terms of harmonic polylogarithms. As a basis of master integrals we choose integrals with integrands that only have logarithmic poles - called $d$log forms. This choice greatly facilitates the subsequent computation via the method of differential equations. We detail how this ","authors_text":"Bernhard Mistlberger, Johannes Henn, Pascal Wasser, Vladimir A. Smirnov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-02-21T19:00:00Z","title":"Constructing d-log integrands and computing master integrals for three-loop four-particle scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.09492","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":"sha256:581af5aa80127bec1c6625589293ffebaeaf3189744259578b23a8c418e50f3f","target":"record","created_at":"2026-07-05T01:04:16Z","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":"65c02b727cc80a36d7fd83138b5557fe6e63be5e8b2ac8188b70f5b487f7160f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2020-02-21T19:00:00Z","title_canon_sha256":"5b7ac69074178b39c9b70671cda95c0c909c4a76cc557ec5375160ff31f549a1"},"schema_version":"1.0","source":{"id":"2002.09492","kind":"arxiv","version":2}},"canonical_sha256":"97236beb89b66b2ee35c28e996b813f1e967cfa6fd713cf0da4a43b4ef23c6af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97236beb89b66b2ee35c28e996b813f1e967cfa6fd713cf0da4a43b4ef23c6af","first_computed_at":"2026-07-05T01:04:16.575272Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:04:16.575272Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AdjdvX4jHZ0DmXZJM88IjR/WIAhANMVDxjVbtBvK6lqICVhNRa7rwX2amg98WYWyXoK4Hj0OR1ig7QExp6UIAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:04:16.575780Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.09492","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:581af5aa80127bec1c6625589293ffebaeaf3189744259578b23a8c418e50f3f","sha256:5576674e2c795a083d3a4019ca7d7ff80fec27358531dc6c02f63d5b7f311de2"],"state_sha256":"566061c75da6ff2ea721353d92880dede2b1326d035846d8b828236c4088cd37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mRhczw8rIJPHJFV4a2QGBrneNvs6aqoZ0PyAD1PzCv3gKclCc23PnKjvjHEWeVBD88lcsHKZ1M7qJ7PZpU0hCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:40:01.976573Z","bundle_sha256":"501202e143ab893924a08ccf15a8fba3f7e6c4e5a186a92f8f78a18ceb038fed"}}