{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:JWGGFLKFOCEADAO6QR4IGUFIEL","short_pith_number":"pith:JWGGFLKF","canonical_record":{"source":{"id":"0803.0862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2008-03-06T13:26:32Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"aa78b03a82d0ceafbd78ce538a150fa918fe614ba544d46b03794236749b3504","abstract_canon_sha256":"e1f4ee86a991aacec38a5c604e95ee1ce194d81f5a8cbcdd319b48002dcb51a3"},"schema_version":"1.0"},"canonical_sha256":"4d8c62ad4570880181de84788350a822db5233456e2e6af392f07bce4e76826f","source":{"kind":"arxiv","id":"0803.0862","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.0862","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"arxiv_version","alias_value":"0803.0862v1","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.0862","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"pith_short_12","alias_value":"JWGGFLKFOCEA","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"pith_short_16","alias_value":"JWGGFLKFOCEADAO6","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"pith_short_8","alias_value":"JWGGFLKF","created_at":"2026-07-04T17:09:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:JWGGFLKFOCEADAO6QR4IGUFIEL","target":"record","payload":{"canonical_record":{"source":{"id":"0803.0862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2008-03-06T13:26:32Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"aa78b03a82d0ceafbd78ce538a150fa918fe614ba544d46b03794236749b3504","abstract_canon_sha256":"e1f4ee86a991aacec38a5c604e95ee1ce194d81f5a8cbcdd319b48002dcb51a3"},"schema_version":"1.0"},"canonical_sha256":"4d8c62ad4570880181de84788350a822db5233456e2e6af392f07bce4e76826f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:09:43.510385Z","signature_b64":"lJUYdPIu3dVeQukXWc2zkNLE+ODMai/IJ28/fvIRAaOS+q0Ky6YW6CxN6z6rXhVY80GLdGaoBbrkXGtu8hz4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d8c62ad4570880181de84788350a822db5233456e2e6af392f07bce4e76826f","last_reissued_at":"2026-07-04T17:09:43.510041Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:09:43.510041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0803.0862","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":"2026-07-04T17:09:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I8JCWPFsESamaWhyghh41Ixl3oI5WerxElLE0pzPyOdSjAjtvishfxPQfjmY5JGeRVTWN3pLOztsAR6uY59hDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:56:52.571860Z"},"content_sha256":"0374ab0d13c3e1a4f2a791498a8128cce651ed1c2bdbeb50712f78070fea01a9","schema_version":"1.0","event_id":"sha256:0374ab0d13c3e1a4f2a791498a8128cce651ed1c2bdbeb50712f78070fea01a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:JWGGFLKFOCEADAO6QR4IGUFIEL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"xPerm: fast index canonicalization for tensor computer algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"cs.SC","authors_text":"Jose M. Martin-Garcia","submitted_at":"2008-03-06T13:26:32Z","abstract_excerpt":"We present a very fast implementation of the Butler-Portugal algorithm for index canonicalization with respect to permutation symmetries. It is called xPerm, and has been written as a combination of a Mathematica package and a C subroutine. The latter performs the most demanding parts of the computations and can be linked from any other program or computer algebra system. We demonstrate with tests and timings the effectively polynomial performance of the Butler-Portugal algorithm with respect to the number of indices, though we also show a case in which it is exponential. Our implementation ha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.0862","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0803.0862/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":"2026-07-04T17:09:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NEz8712NG23MJzGbG/0zP2to5IMcaLbvMcPk9wfrP/zH4NdrEh7dioHDrdGHZ5h8MqrY30L7wxMGxSo+25CxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:56:52.572809Z"},"content_sha256":"80a2dbddba2823a76ea8cfacf92ea29183691351614b0f2b1a6e79aa645c53e7","schema_version":"1.0","event_id":"sha256:80a2dbddba2823a76ea8cfacf92ea29183691351614b0f2b1a6e79aa645c53e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWGGFLKFOCEADAO6QR4IGUFIEL/bundle.json","state_url":"https://pith.science/pith/JWGGFLKFOCEADAO6QR4IGUFIEL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWGGFLKFOCEADAO6QR4IGUFIEL/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":"2026-08-03T21:56:52Z","links":{"resolver":"https://pith.science/pith/JWGGFLKFOCEADAO6QR4IGUFIEL","bundle":"https://pith.science/pith/JWGGFLKFOCEADAO6QR4IGUFIEL/bundle.json","state":"https://pith.science/pith/JWGGFLKFOCEADAO6QR4IGUFIEL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWGGFLKFOCEADAO6QR4IGUFIEL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:JWGGFLKFOCEADAO6QR4IGUFIEL","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":"e1f4ee86a991aacec38a5c604e95ee1ce194d81f5a8cbcdd319b48002dcb51a3","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2008-03-06T13:26:32Z","title_canon_sha256":"aa78b03a82d0ceafbd78ce538a150fa918fe614ba544d46b03794236749b3504"},"schema_version":"1.0","source":{"id":"0803.0862","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.0862","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"arxiv_version","alias_value":"0803.0862v1","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.0862","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"pith_short_12","alias_value":"JWGGFLKFOCEA","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"pith_short_16","alias_value":"JWGGFLKFOCEADAO6","created_at":"2026-07-04T17:09:43Z"},{"alias_kind":"pith_short_8","alias_value":"JWGGFLKF","created_at":"2026-07-04T17:09:43Z"}],"graph_snapshots":[{"event_id":"sha256:80a2dbddba2823a76ea8cfacf92ea29183691351614b0f2b1a6e79aa645c53e7","target":"graph","created_at":"2026-07-04T17:09:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0803.0862/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a very fast implementation of the Butler-Portugal algorithm for index canonicalization with respect to permutation symmetries. It is called xPerm, and has been written as a combination of a Mathematica package and a C subroutine. The latter performs the most demanding parts of the computations and can be linked from any other program or computer algebra system. We demonstrate with tests and timings the effectively polynomial performance of the Butler-Portugal algorithm with respect to the number of indices, though we also show a case in which it is exponential. Our implementation ha","authors_text":"Jose M. Martin-Garcia","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2008-03-06T13:26:32Z","title":"xPerm: fast index canonicalization for tensor computer algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.0862","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":"sha256:0374ab0d13c3e1a4f2a791498a8128cce651ed1c2bdbeb50712f78070fea01a9","target":"record","created_at":"2026-07-04T17:09:43Z","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":"e1f4ee86a991aacec38a5c604e95ee1ce194d81f5a8cbcdd319b48002dcb51a3","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SC","submitted_at":"2008-03-06T13:26:32Z","title_canon_sha256":"aa78b03a82d0ceafbd78ce538a150fa918fe614ba544d46b03794236749b3504"},"schema_version":"1.0","source":{"id":"0803.0862","kind":"arxiv","version":1}},"canonical_sha256":"4d8c62ad4570880181de84788350a822db5233456e2e6af392f07bce4e76826f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d8c62ad4570880181de84788350a822db5233456e2e6af392f07bce4e76826f","first_computed_at":"2026-07-04T17:09:43.510041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:09:43.510041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lJUYdPIu3dVeQukXWc2zkNLE+ODMai/IJ28/fvIRAaOS+q0Ky6YW6CxN6z6rXhVY80GLdGaoBbrkXGtu8hz4Cg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:09:43.510385Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.0862","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0374ab0d13c3e1a4f2a791498a8128cce651ed1c2bdbeb50712f78070fea01a9","sha256:80a2dbddba2823a76ea8cfacf92ea29183691351614b0f2b1a6e79aa645c53e7"],"state_sha256":"63234a34027ed642e21149e4b84c46e6391d751fddda7c47a481a2017f104c79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ueO9RWQgN6ojjkPkcf0an2hP16xH+cUKL5fTQ3uhNJw0hZFAurMm4oVHG7FqU4TGe8fNEOrNjACf7krE/xddAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:56:52.579085Z","bundle_sha256":"17636a56876c1b2d5baaeaa9ad3cd31f35b42a6cdfd37ad04b0c6b9bc649d580"}}