{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SMHDS4ALOMYJSCJRW3QPFOAUTR","short_pith_number":"pith:SMHDS4AL","canonical_record":{"source":{"id":"1605.01446","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T22:23:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a62bf47c9ddc7cb970961741bbbb432d6152ca17088d24b08874be7c41ead029","abstract_canon_sha256":"14f56f4fe8aeb8068051ea7c4ee27c073d7dd3f1012b3a2124141492b04a8781"},"schema_version":"1.0"},"canonical_sha256":"930e39700b7330990931b6e0f2b8149c7ccb45d18515c90940ecd38cbaabdc22","source":{"kind":"arxiv","id":"1605.01446","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01446","created_at":"2026-05-18T01:11:26Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01446v3","created_at":"2026-05-18T01:11:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01446","created_at":"2026-05-18T01:11:26Z"},{"alias_kind":"pith_short_12","alias_value":"SMHDS4ALOMYJ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMHDS4ALOMYJSCJR","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMHDS4AL","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SMHDS4ALOMYJSCJRW3QPFOAUTR","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01446","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T22:23:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a62bf47c9ddc7cb970961741bbbb432d6152ca17088d24b08874be7c41ead029","abstract_canon_sha256":"14f56f4fe8aeb8068051ea7c4ee27c073d7dd3f1012b3a2124141492b04a8781"},"schema_version":"1.0"},"canonical_sha256":"930e39700b7330990931b6e0f2b8149c7ccb45d18515c90940ecd38cbaabdc22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:26.669722Z","signature_b64":"KM0MkCnjB96bbqgXILjQT5m9WD90A3wbx8vfpQhyOrvx71iIfmw02wb0QRPNcapj6gcAlY5CiDev2C+/o65nAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"930e39700b7330990931b6e0f2b8149c7ccb45d18515c90940ecd38cbaabdc22","last_reissued_at":"2026-05-18T01:11:26.669062Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:26.669062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01446","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vz2dubO66oXsQpgTi73/LL9pxs5QwP8vjNXycW620GroVCRV7NdYhymIw661z3H8yTVQyTZQN1IafZklfeiCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:48:33.624266Z"},"content_sha256":"7bae032c49842e99de4688398ee34a63acbc3035bae3bbaa672e75f20ee36269","schema_version":"1.0","event_id":"sha256:7bae032c49842e99de4688398ee34a63acbc3035bae3bbaa672e75f20ee36269"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SMHDS4ALOMYJSCJRW3QPFOAUTR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elliptic scattering equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Carlos Cardona, Humberto Gomez","submitted_at":"2016-05-04T22:23:29Z","abstract_excerpt":"Recently the CHY approach has been extended to one loop level using elliptic functions and modular forms over a Jacobian variety. Due to the difficulty in manipulating these kind of functions, we propose an alternative prescription that is totally algebraic. This new proposal is based on an elliptic algebraic curve embedded in a $\\mathbb{C}P^2$ space. We show that for the simplest integrand, namely the ${\\rm n-gon}$, our proposal indeed reproduces the expected result. By using the recently formulated $\\Lambda-$algorithm, we found a novel recurrence relation expansion in terms of tree level off"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01446","kind":"arxiv","version":3},"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":"2026-05-18T01:11:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H2i5p0GgZ9t7b714jpcsBJnoetwv3h1PPOQo7eGyscWyLDimJU9NffF893KhDYlJcIHMi+AABDLchgOUv3z+Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:48:33.624846Z"},"content_sha256":"07154257fea883a516773c757dda33735f2eb8476c3b324f0f40c6cbb0f3200f","schema_version":"1.0","event_id":"sha256:07154257fea883a516773c757dda33735f2eb8476c3b324f0f40c6cbb0f3200f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMHDS4ALOMYJSCJRW3QPFOAUTR/bundle.json","state_url":"https://pith.science/pith/SMHDS4ALOMYJSCJRW3QPFOAUTR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMHDS4ALOMYJSCJRW3QPFOAUTR/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":"2026-05-24T22:48:33Z","links":{"resolver":"https://pith.science/pith/SMHDS4ALOMYJSCJRW3QPFOAUTR","bundle":"https://pith.science/pith/SMHDS4ALOMYJSCJRW3QPFOAUTR/bundle.json","state":"https://pith.science/pith/SMHDS4ALOMYJSCJRW3QPFOAUTR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMHDS4ALOMYJSCJRW3QPFOAUTR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SMHDS4ALOMYJSCJRW3QPFOAUTR","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":"14f56f4fe8aeb8068051ea7c4ee27c073d7dd3f1012b3a2124141492b04a8781","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T22:23:29Z","title_canon_sha256":"a62bf47c9ddc7cb970961741bbbb432d6152ca17088d24b08874be7c41ead029"},"schema_version":"1.0","source":{"id":"1605.01446","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01446","created_at":"2026-05-18T01:11:26Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01446v3","created_at":"2026-05-18T01:11:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01446","created_at":"2026-05-18T01:11:26Z"},{"alias_kind":"pith_short_12","alias_value":"SMHDS4ALOMYJ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SMHDS4ALOMYJSCJR","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SMHDS4AL","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:07154257fea883a516773c757dda33735f2eb8476c3b324f0f40c6cbb0f3200f","target":"graph","created_at":"2026-05-18T01:11:26Z","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":"Recently the CHY approach has been extended to one loop level using elliptic functions and modular forms over a Jacobian variety. Due to the difficulty in manipulating these kind of functions, we propose an alternative prescription that is totally algebraic. This new proposal is based on an elliptic algebraic curve embedded in a $\\mathbb{C}P^2$ space. We show that for the simplest integrand, namely the ${\\rm n-gon}$, our proposal indeed reproduces the expected result. By using the recently formulated $\\Lambda-$algorithm, we found a novel recurrence relation expansion in terms of tree level off","authors_text":"Carlos Cardona, Humberto Gomez","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T22:23:29Z","title":"Elliptic scattering equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01446","kind":"arxiv","version":3},"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":"sha256:7bae032c49842e99de4688398ee34a63acbc3035bae3bbaa672e75f20ee36269","target":"record","created_at":"2026-05-18T01:11:26Z","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":"14f56f4fe8aeb8068051ea7c4ee27c073d7dd3f1012b3a2124141492b04a8781","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-04T22:23:29Z","title_canon_sha256":"a62bf47c9ddc7cb970961741bbbb432d6152ca17088d24b08874be7c41ead029"},"schema_version":"1.0","source":{"id":"1605.01446","kind":"arxiv","version":3}},"canonical_sha256":"930e39700b7330990931b6e0f2b8149c7ccb45d18515c90940ecd38cbaabdc22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"930e39700b7330990931b6e0f2b8149c7ccb45d18515c90940ecd38cbaabdc22","first_computed_at":"2026-05-18T01:11:26.669062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:26.669062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KM0MkCnjB96bbqgXILjQT5m9WD90A3wbx8vfpQhyOrvx71iIfmw02wb0QRPNcapj6gcAlY5CiDev2C+/o65nAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:26.669722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01446","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bae032c49842e99de4688398ee34a63acbc3035bae3bbaa672e75f20ee36269","sha256:07154257fea883a516773c757dda33735f2eb8476c3b324f0f40c6cbb0f3200f"],"state_sha256":"8ec4ac710a7b42a7d3bcbb08ec19ad39ced7443345f563a96f1794084a7de4bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpgdzwfHLLrCmiAgfphdeXlulDMH0Rz5wWxThXGbt6YQ3S328j6fDSCgUUwKwA64JR6YOHik+uovdWpDMbU+Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T22:48:33.628523Z","bundle_sha256":"53d809c142b230986f56c1bc204377a013e596eca08c86cf84850c7e00b53583"}}