{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:K6VUK5QEW3QRVXDEMEN7XVU5MB","short_pith_number":"pith:K6VUK5QE","canonical_record":{"source":{"id":"2106.09314","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T08:29:03Z","cross_cats_sorted":[],"title_canon_sha256":"d0fbce34cac8be273691e2c86df3522f5e085ade85ae0ea0ed62a401e971469a","abstract_canon_sha256":"833f0546659d5b0435a1c5eddadb10fb4eddaedc84d9264ed8120e1fe8e511ad"},"schema_version":"1.0"},"canonical_sha256":"57ab457604b6e11adc64611bfbd69d60512e474e529e2e3e8a63f190c9010577","source":{"kind":"arxiv","id":"2106.09314","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.09314","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"arxiv_version","alias_value":"2106.09314v2","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.09314","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_12","alias_value":"K6VUK5QEW3QR","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_16","alias_value":"K6VUK5QEW3QRVXDE","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_8","alias_value":"K6VUK5QE","created_at":"2026-07-05T03:45:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:K6VUK5QEW3QRVXDEMEN7XVU5MB","target":"record","payload":{"canonical_record":{"source":{"id":"2106.09314","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T08:29:03Z","cross_cats_sorted":[],"title_canon_sha256":"d0fbce34cac8be273691e2c86df3522f5e085ade85ae0ea0ed62a401e971469a","abstract_canon_sha256":"833f0546659d5b0435a1c5eddadb10fb4eddaedc84d9264ed8120e1fe8e511ad"},"schema_version":"1.0"},"canonical_sha256":"57ab457604b6e11adc64611bfbd69d60512e474e529e2e3e8a63f190c9010577","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:45:34.511286Z","signature_b64":"FUIym90zV01NUC1G5n6ALlJ5J0c3Znx659XuJfeZBlp8L4yKdhPVUQwMISMoeFazCb3v/i92kGvIEPp97jTnCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57ab457604b6e11adc64611bfbd69d60512e474e529e2e3e8a63f190c9010577","last_reissued_at":"2026-07-05T03:45:34.510866Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:45:34.510866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.09314","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":"2026-07-05T03:45:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NF5PBjOL1MoZCq2MRyX3j46ydx5nJdWE+G85jmO59bqQvsQO4XTsRRK391mks8Y71RakOqTegJiJPTeYLISsDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T15:31:35.538175Z"},"content_sha256":"83aa0936b6b1f15d7df8f02b0183ccc896ae1678e1cea2ad97da920c8b81029d","schema_version":"1.0","event_id":"sha256:83aa0936b6b1f15d7df8f02b0183ccc896ae1678e1cea2ad97da920c8b81029d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:K6VUK5QEW3QRVXDEMEN7XVU5MB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Truncated cluster algebras and Feynman integrals with algebraic letters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Qinglin Yang, Song He, Zhenjie Li","submitted_at":"2021-06-17T08:29:03Z","abstract_excerpt":"We propose that the symbol alphabet for classes of planar, dual-conformal-invariant Feynman integrals can be obtained as truncated cluster algebras purely from their kinematics, which correspond to boundaries of (compactifications of) $G_+(4,n)/T$ for the $n$-particle massless kinematics. For one-, two-, three-mass-easy hexagon kinematics with $n=7,8,9$, we find finite cluster algebras $D_4$, $D_5$ and $D_6$ respectively, in accordance with previous result on alphabets of these integrals. As the main example, we consider hexagon kinematics with two massive corners on opposite sides and find a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.09314","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/2106.09314/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":"2026-07-05T03:45:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1xNmlALCs5lOjpIte8ekZKj/Q91YGQTDadvAYFPpSkxUVJchpteTzpLiNAmjy54MvxB3GbexlLUvda31LaxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T15:31:35.539093Z"},"content_sha256":"d10e2037cea9d75e4ed9e2479b365c3156434a104b78676a3b8c9203b554d69f","schema_version":"1.0","event_id":"sha256:d10e2037cea9d75e4ed9e2479b365c3156434a104b78676a3b8c9203b554d69f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K6VUK5QEW3QRVXDEMEN7XVU5MB/bundle.json","state_url":"https://pith.science/pith/K6VUK5QEW3QRVXDEMEN7XVU5MB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K6VUK5QEW3QRVXDEMEN7XVU5MB/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":"2026-08-03T15:31:35Z","links":{"resolver":"https://pith.science/pith/K6VUK5QEW3QRVXDEMEN7XVU5MB","bundle":"https://pith.science/pith/K6VUK5QEW3QRVXDEMEN7XVU5MB/bundle.json","state":"https://pith.science/pith/K6VUK5QEW3QRVXDEMEN7XVU5MB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K6VUK5QEW3QRVXDEMEN7XVU5MB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:K6VUK5QEW3QRVXDEMEN7XVU5MB","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":"833f0546659d5b0435a1c5eddadb10fb4eddaedc84d9264ed8120e1fe8e511ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T08:29:03Z","title_canon_sha256":"d0fbce34cac8be273691e2c86df3522f5e085ade85ae0ea0ed62a401e971469a"},"schema_version":"1.0","source":{"id":"2106.09314","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.09314","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"arxiv_version","alias_value":"2106.09314v2","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.09314","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_12","alias_value":"K6VUK5QEW3QR","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_16","alias_value":"K6VUK5QEW3QRVXDE","created_at":"2026-07-05T03:45:34Z"},{"alias_kind":"pith_short_8","alias_value":"K6VUK5QE","created_at":"2026-07-05T03:45:34Z"}],"graph_snapshots":[{"event_id":"sha256:d10e2037cea9d75e4ed9e2479b365c3156434a104b78676a3b8c9203b554d69f","target":"graph","created_at":"2026-07-05T03:45:34Z","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/2106.09314/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose that the symbol alphabet for classes of planar, dual-conformal-invariant Feynman integrals can be obtained as truncated cluster algebras purely from their kinematics, which correspond to boundaries of (compactifications of) $G_+(4,n)/T$ for the $n$-particle massless kinematics. For one-, two-, three-mass-easy hexagon kinematics with $n=7,8,9$, we find finite cluster algebras $D_4$, $D_5$ and $D_6$ respectively, in accordance with previous result on alphabets of these integrals. As the main example, we consider hexagon kinematics with two massive corners on opposite sides and find a ","authors_text":"Qinglin Yang, Song He, Zhenjie Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T08:29:03Z","title":"Truncated cluster algebras and Feynman integrals with algebraic letters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.09314","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":"sha256:83aa0936b6b1f15d7df8f02b0183ccc896ae1678e1cea2ad97da920c8b81029d","target":"record","created_at":"2026-07-05T03:45:34Z","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":"833f0546659d5b0435a1c5eddadb10fb4eddaedc84d9264ed8120e1fe8e511ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-17T08:29:03Z","title_canon_sha256":"d0fbce34cac8be273691e2c86df3522f5e085ade85ae0ea0ed62a401e971469a"},"schema_version":"1.0","source":{"id":"2106.09314","kind":"arxiv","version":2}},"canonical_sha256":"57ab457604b6e11adc64611bfbd69d60512e474e529e2e3e8a63f190c9010577","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57ab457604b6e11adc64611bfbd69d60512e474e529e2e3e8a63f190c9010577","first_computed_at":"2026-07-05T03:45:34.510866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:34.510866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FUIym90zV01NUC1G5n6ALlJ5J0c3Znx659XuJfeZBlp8L4yKdhPVUQwMISMoeFazCb3v/i92kGvIEPp97jTnCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:34.511286Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.09314","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83aa0936b6b1f15d7df8f02b0183ccc896ae1678e1cea2ad97da920c8b81029d","sha256:d10e2037cea9d75e4ed9e2479b365c3156434a104b78676a3b8c9203b554d69f"],"state_sha256":"d81b6b748984228d1214f26cdc3444444708a0eb9d35d308aee37bb20c8b5dda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DltRdu9RTnmK7bYcIfdfWezJBA+y68hS4zZzXjwvQAIAS1PkbqMlQNzspqF34cn5yH6UxRm9i3+SEbUmdYwMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T15:31:35.544216Z","bundle_sha256":"e062c3a3b615dc58598b202fb506478578d3f332b15345ba4276ac0a9f0ec431"}}