{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NB5RXCRGK3G55VIKNOSWXBYXJ3","short_pith_number":"pith:NB5RXCRG","canonical_record":{"source":{"id":"1306.1362","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-06T09:58:19Z","cross_cats_sorted":["cs.SC","math-ph","math.MP"],"title_canon_sha256":"acf2fe3466e954a7454e851dc5e440c1e177810bbed16cb015656fccd5f549e7","abstract_canon_sha256":"a9bd721773d916de99563f1976e3e0955aee99dc4dda8452b503347e170e5e67"},"schema_version":"1.0"},"canonical_sha256":"687b1b8a2656cdded50a6ba56b87174eca8fe0c316e67175ebf46337e0d30123","source":{"kind":"arxiv","id":"1306.1362","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1362","created_at":"2026-05-18T02:57:43Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1362v2","created_at":"2026-05-18T02:57:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1362","created_at":"2026-05-18T02:57:43Z"},{"alias_kind":"pith_short_12","alias_value":"NB5RXCRGK3G5","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NB5RXCRGK3G55VIK","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NB5RXCRG","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NB5RXCRGK3G55VIKNOSWXBYXJ3","target":"record","payload":{"canonical_record":{"source":{"id":"1306.1362","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-06T09:58:19Z","cross_cats_sorted":["cs.SC","math-ph","math.MP"],"title_canon_sha256":"acf2fe3466e954a7454e851dc5e440c1e177810bbed16cb015656fccd5f549e7","abstract_canon_sha256":"a9bd721773d916de99563f1976e3e0955aee99dc4dda8452b503347e170e5e67"},"schema_version":"1.0"},"canonical_sha256":"687b1b8a2656cdded50a6ba56b87174eca8fe0c316e67175ebf46337e0d30123","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:43.591452Z","signature_b64":"BEpqyUUFpIC+YXAd7fY2wjRLBp/gr+79zElBTeOY4Nztpe5IRqKC3G3OQfuYOJ6ZIvZATTQsq7WtkV9q2yxqBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"687b1b8a2656cdded50a6ba56b87174eca8fe0c316e67175ebf46337e0d30123","last_reissued_at":"2026-05-18T02:57:43.590860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:43.590860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.1362","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":"2026-05-18T02:57:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qkqXQcTUady3RZK37EUecj0U1jpDSpOPD37yK3vNuqH/+H/Ary0ucT/P9PPyy0H9YqH4Ao6ATChVznc4oWfVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:57:19.738675Z"},"content_sha256":"52a37a2576fc6bbb0b63e517330247974204b6c8e25c3693fc5efc98c6251810","schema_version":"1.0","event_id":"sha256:52a37a2576fc6bbb0b63e517330247974204b6c8e25c3693fc5efc98c6251810"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NB5RXCRGK3G55VIKNOSWXBYXJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Christoph Koutschan, Peter Paule, Sergei K. Suslov","submitted_at":"2013-06-06T09:58:19Z","abstract_excerpt":"We derive the recurrence relations for relativistic Coulomb integrals directly from the integral representations with the help of computer algebra methods. In order to manage the computational complexity of this problem, we employ holonomic closure properties in a sophisticated way."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1362","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":""},"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":"2026-05-18T02:57:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6jIsuJ4j5/1EOlvGqEsX/L/zgamdlwbrmryRBlqm2SlmdhJiM5cDRiRGwFLpG8TDk6iAb/Qkm7DyZEIw55PBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:57:19.739026Z"},"content_sha256":"92ac8fcdee99bc4de2a22002a1581190b6eb59035393d2c4bcf84b7a330718c3","schema_version":"1.0","event_id":"sha256:92ac8fcdee99bc4de2a22002a1581190b6eb59035393d2c4bcf84b7a330718c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NB5RXCRGK3G55VIKNOSWXBYXJ3/bundle.json","state_url":"https://pith.science/pith/NB5RXCRGK3G55VIKNOSWXBYXJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NB5RXCRGK3G55VIKNOSWXBYXJ3/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":"2026-05-22T17:57:19Z","links":{"resolver":"https://pith.science/pith/NB5RXCRGK3G55VIKNOSWXBYXJ3","bundle":"https://pith.science/pith/NB5RXCRGK3G55VIKNOSWXBYXJ3/bundle.json","state":"https://pith.science/pith/NB5RXCRGK3G55VIKNOSWXBYXJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NB5RXCRGK3G55VIKNOSWXBYXJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NB5RXCRGK3G55VIKNOSWXBYXJ3","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":"a9bd721773d916de99563f1976e3e0955aee99dc4dda8452b503347e170e5e67","cross_cats_sorted":["cs.SC","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-06T09:58:19Z","title_canon_sha256":"acf2fe3466e954a7454e851dc5e440c1e177810bbed16cb015656fccd5f549e7"},"schema_version":"1.0","source":{"id":"1306.1362","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1362","created_at":"2026-05-18T02:57:43Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1362v2","created_at":"2026-05-18T02:57:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1362","created_at":"2026-05-18T02:57:43Z"},{"alias_kind":"pith_short_12","alias_value":"NB5RXCRGK3G5","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NB5RXCRGK3G55VIK","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NB5RXCRG","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:92ac8fcdee99bc4de2a22002a1581190b6eb59035393d2c4bcf84b7a330718c3","target":"graph","created_at":"2026-05-18T02:57:43Z","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 the recurrence relations for relativistic Coulomb integrals directly from the integral representations with the help of computer algebra methods. In order to manage the computational complexity of this problem, we employ holonomic closure properties in a sophisticated way.","authors_text":"Christoph Koutschan, Peter Paule, Sergei K. Suslov","cross_cats":["cs.SC","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-06T09:58:19Z","title":"Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1362","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":"sha256:52a37a2576fc6bbb0b63e517330247974204b6c8e25c3693fc5efc98c6251810","target":"record","created_at":"2026-05-18T02:57:43Z","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":"a9bd721773d916de99563f1976e3e0955aee99dc4dda8452b503347e170e5e67","cross_cats_sorted":["cs.SC","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-06-06T09:58:19Z","title_canon_sha256":"acf2fe3466e954a7454e851dc5e440c1e177810bbed16cb015656fccd5f549e7"},"schema_version":"1.0","source":{"id":"1306.1362","kind":"arxiv","version":2}},"canonical_sha256":"687b1b8a2656cdded50a6ba56b87174eca8fe0c316e67175ebf46337e0d30123","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"687b1b8a2656cdded50a6ba56b87174eca8fe0c316e67175ebf46337e0d30123","first_computed_at":"2026-05-18T02:57:43.590860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:43.590860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BEpqyUUFpIC+YXAd7fY2wjRLBp/gr+79zElBTeOY4Nztpe5IRqKC3G3OQfuYOJ6ZIvZATTQsq7WtkV9q2yxqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:43.591452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1362","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52a37a2576fc6bbb0b63e517330247974204b6c8e25c3693fc5efc98c6251810","sha256:92ac8fcdee99bc4de2a22002a1581190b6eb59035393d2c4bcf84b7a330718c3"],"state_sha256":"12e2da0765cd469005cd9196908fe439cabfc4c6c6f1b2d245e4d1aabcfc243a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"suI1ywtqmQBZ6f+Jy140iMPjN5jDFIP7yBX8a1FCf6f7qYn14Gy5XA2dx5n7+/k+Q2Ha2z7bwKpPJ2Eg7R4RAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T17:57:19.741330Z","bundle_sha256":"86550c56a07f451d7cd9a4f8bf5a54a0d45a48ab847149e1fd843c384c2e0b74"}}