{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QBLD4KSMFYOFLR4FHFMGJ7CQ6L","short_pith_number":"pith:QBLD4KSM","canonical_record":{"source":{"id":"1807.06424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-17T13:38:17Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"028341ea5565acc74042bd6c7af22cd8aee0b1daba304e7063384b553d0a2510","abstract_canon_sha256":"56199449ce57f0f523d3b74a0e98adb24d17e255209cab91fadbcc56d20bb988"},"schema_version":"1.0"},"canonical_sha256":"80563e2a4c2e1c55c785395864fc50f2ee685654c71664080301a9ba7c5817af","source":{"kind":"arxiv","id":"1807.06424","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06424","created_at":"2026-05-18T00:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06424v1","created_at":"2026-05-18T00:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06424","created_at":"2026-05-18T00:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"QBLD4KSMFYOF","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QBLD4KSMFYOFLR4F","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QBLD4KSM","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QBLD4KSMFYOFLR4FHFMGJ7CQ6L","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-17T13:38:17Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"028341ea5565acc74042bd6c7af22cd8aee0b1daba304e7063384b553d0a2510","abstract_canon_sha256":"56199449ce57f0f523d3b74a0e98adb24d17e255209cab91fadbcc56d20bb988"},"schema_version":"1.0"},"canonical_sha256":"80563e2a4c2e1c55c785395864fc50f2ee685654c71664080301a9ba7c5817af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:33.087621Z","signature_b64":"w6O//ZDTRwQ/yhCGr2yqURpFJlYA7F1USQ4SlBp23flqB4On4hzCDIaGiKhXeTfOTMXIYY8eeXNr0nHZm16rAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80563e2a4c2e1c55c785395864fc50f2ee685654c71664080301a9ba7c5817af","last_reissued_at":"2026-05-18T00:10:33.086862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:33.086862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06424","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":"2026-05-18T00:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EnyYnoluf5k4L5WHUFseW7JIDqq5y5gAzZ2g0XpZZSthF+jEniCTyN7xDMzH0YlCEAAiZjtkXBuyTqbNg2yiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:32:29.910650Z"},"content_sha256":"c1d83442729025a981a4a15e877bbdf0629b433b447cf319caeb9747982df466","schema_version":"1.0","event_id":"sha256:c1d83442729025a981a4a15e877bbdf0629b433b447cf319caeb9747982df466"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QBLD4KSMFYOFLR4FHFMGJ7CQ6L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Properties of Yang-Mills scattering forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexander Kniss, Leonardo de la Cruz, Stefan Weinzierl","submitted_at":"2018-07-17T13:38:17Z","abstract_excerpt":"In this talk we introduce the properties of scattering forms on the compactified moduli space of Riemann spheres with $n$ marked points. These differential forms are $\\text{PSL}(2,\\mathbb{C})$ invariant, their intersection numbers correspond to scattering amplitudes as recently proposed by Mizera. All singularities are at the boundary of the moduli space and each singularity is logarithmic. In addition, each residue factorizes into two differential forms of lower points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06424","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":"2026-05-18T00:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vkT1HcgMYfvjBKrfvPWZjP+JtDDJAxWv4n3VPUWkDyhalIdl2PAyOR9EE7TaJkrrAUNu+Hn19H2Wc7B/+NdADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T10:32:29.911300Z"},"content_sha256":"be9fca6205d5b74b0e15156aa4eeb7b0145ba7c0b573a9d8a5858a67ba4fb0db","schema_version":"1.0","event_id":"sha256:be9fca6205d5b74b0e15156aa4eeb7b0145ba7c0b573a9d8a5858a67ba4fb0db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBLD4KSMFYOFLR4FHFMGJ7CQ6L/bundle.json","state_url":"https://pith.science/pith/QBLD4KSMFYOFLR4FHFMGJ7CQ6L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBLD4KSMFYOFLR4FHFMGJ7CQ6L/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":"2026-06-06T10:32:29Z","links":{"resolver":"https://pith.science/pith/QBLD4KSMFYOFLR4FHFMGJ7CQ6L","bundle":"https://pith.science/pith/QBLD4KSMFYOFLR4FHFMGJ7CQ6L/bundle.json","state":"https://pith.science/pith/QBLD4KSMFYOFLR4FHFMGJ7CQ6L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBLD4KSMFYOFLR4FHFMGJ7CQ6L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QBLD4KSMFYOFLR4FHFMGJ7CQ6L","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":"56199449ce57f0f523d3b74a0e98adb24d17e255209cab91fadbcc56d20bb988","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-17T13:38:17Z","title_canon_sha256":"028341ea5565acc74042bd6c7af22cd8aee0b1daba304e7063384b553d0a2510"},"schema_version":"1.0","source":{"id":"1807.06424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06424","created_at":"2026-05-18T00:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06424v1","created_at":"2026-05-18T00:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06424","created_at":"2026-05-18T00:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"QBLD4KSMFYOF","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QBLD4KSMFYOFLR4F","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QBLD4KSM","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:be9fca6205d5b74b0e15156aa4eeb7b0145ba7c0b573a9d8a5858a67ba4fb0db","target":"graph","created_at":"2026-05-18T00:10:33Z","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 this talk we introduce the properties of scattering forms on the compactified moduli space of Riemann spheres with $n$ marked points. These differential forms are $\\text{PSL}(2,\\mathbb{C})$ invariant, their intersection numbers correspond to scattering amplitudes as recently proposed by Mizera. All singularities are at the boundary of the moduli space and each singularity is logarithmic. In addition, each residue factorizes into two differential forms of lower points.","authors_text":"Alexander Kniss, Leonardo de la Cruz, Stefan Weinzierl","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-17T13:38:17Z","title":"Properties of Yang-Mills scattering forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06424","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:c1d83442729025a981a4a15e877bbdf0629b433b447cf319caeb9747982df466","target":"record","created_at":"2026-05-18T00:10:33Z","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":"56199449ce57f0f523d3b74a0e98adb24d17e255209cab91fadbcc56d20bb988","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-17T13:38:17Z","title_canon_sha256":"028341ea5565acc74042bd6c7af22cd8aee0b1daba304e7063384b553d0a2510"},"schema_version":"1.0","source":{"id":"1807.06424","kind":"arxiv","version":1}},"canonical_sha256":"80563e2a4c2e1c55c785395864fc50f2ee685654c71664080301a9ba7c5817af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80563e2a4c2e1c55c785395864fc50f2ee685654c71664080301a9ba7c5817af","first_computed_at":"2026-05-18T00:10:33.086862Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:33.086862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w6O//ZDTRwQ/yhCGr2yqURpFJlYA7F1USQ4SlBp23flqB4On4hzCDIaGiKhXeTfOTMXIYY8eeXNr0nHZm16rAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:33.087621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06424","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1d83442729025a981a4a15e877bbdf0629b433b447cf319caeb9747982df466","sha256:be9fca6205d5b74b0e15156aa4eeb7b0145ba7c0b573a9d8a5858a67ba4fb0db"],"state_sha256":"798b7cce620f5bb912292931c91f7cd9e5c1daff54c0e5f63f3fb8bff22366f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p3LSrqhM7dvSqmq8R0S6TjQH86ttjeS+lUYTAuknuLmwGfxzM93bD4cHh8Hn/pVkvq516rnwiIebp50VbDXbBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T10:32:29.914527Z","bundle_sha256":"44639176c6067105dabfb2df34603dfc9289c6be8c37a522da0fcc4631932c8c"}}