{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7IHYJGUR2GUYWYICT2IRSLTW7Y","short_pith_number":"pith:7IHYJGUR","canonical_record":{"source":{"id":"1509.00241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-01T12:01:06Z","cross_cats_sorted":[],"title_canon_sha256":"1d3c203bd83639942ef051c788b829c9ee68032cab025719d4d507c3f93a68b7","abstract_canon_sha256":"9821359a6811b78d5c55b53a3ab781ea65b5cbd5d5f704312db1b9d373c401c9"},"schema_version":"1.0"},"canonical_sha256":"fa0f849a91d1a98b61029e91192e76fe09069f40d1ccfac61c4cf4e3bc38e2f5","source":{"kind":"arxiv","id":"1509.00241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00241","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00241v1","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00241","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"pith_short_12","alias_value":"7IHYJGUR2GUY","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7IHYJGUR2GUYWYIC","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7IHYJGUR","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7IHYJGUR2GUYWYICT2IRSLTW7Y","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-01T12:01:06Z","cross_cats_sorted":[],"title_canon_sha256":"1d3c203bd83639942ef051c788b829c9ee68032cab025719d4d507c3f93a68b7","abstract_canon_sha256":"9821359a6811b78d5c55b53a3ab781ea65b5cbd5d5f704312db1b9d373c401c9"},"schema_version":"1.0"},"canonical_sha256":"fa0f849a91d1a98b61029e91192e76fe09069f40d1ccfac61c4cf4e3bc38e2f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:14.761903Z","signature_b64":"HhqblnkSkF6RccWOOcmDxrl7RfxEf0J2WfTxzBMzPQY9C6oWT6Gv5qhxpv1sIznBOlVN/wMeur9zqJ27PC15Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa0f849a91d1a98b61029e91192e76fe09069f40d1ccfac61c4cf4e3bc38e2f5","last_reissued_at":"2026-05-18T01:34:14.761145Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:14.761145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00241","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":"2026-05-18T01:34:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"voBjr83v46pA85fC9S4945RICTOJpJIoHSX9wsnoU0chHKNz0Bktgbp5a86F4xTo7ysr+tkSE56U/icJy++YBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:05:03.399554Z"},"content_sha256":"9f3b3602a24b79de7f1bd6cfd71046e34c74624c5dd22be480cc152e07818e07","schema_version":"1.0","event_id":"sha256:9f3b3602a24b79de7f1bd6cfd71046e34c74624c5dd22be480cc152e07818e07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7IHYJGUR2GUYWYICT2IRSLTW7Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"When powers of a matrix coincide with its Hadamard powers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Roman Drnov\\v{s}ek","submitted_at":"2015-09-01T12:01:06Z","abstract_excerpt":"We characterize matrices whose powers coincide with their Hadamard powers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00241","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":"2026-05-18T01:34:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Z6PYbhaLX2sKeQi8eIRWmo8aUOa7NgIMvSIH7z+t5uYjtsIQ+PRXBJGI3NlK1rCUTQYvmGl+kvKQDTvuuQ1Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:05:03.399914Z"},"content_sha256":"cd18be5db3f30dc52891180575474b5404b98147af2e5f6f0071e5074a30ad1b","schema_version":"1.0","event_id":"sha256:cd18be5db3f30dc52891180575474b5404b98147af2e5f6f0071e5074a30ad1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7IHYJGUR2GUYWYICT2IRSLTW7Y/bundle.json","state_url":"https://pith.science/pith/7IHYJGUR2GUYWYICT2IRSLTW7Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7IHYJGUR2GUYWYICT2IRSLTW7Y/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":"2026-05-26T10:05:03Z","links":{"resolver":"https://pith.science/pith/7IHYJGUR2GUYWYICT2IRSLTW7Y","bundle":"https://pith.science/pith/7IHYJGUR2GUYWYICT2IRSLTW7Y/bundle.json","state":"https://pith.science/pith/7IHYJGUR2GUYWYICT2IRSLTW7Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7IHYJGUR2GUYWYICT2IRSLTW7Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7IHYJGUR2GUYWYICT2IRSLTW7Y","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":"9821359a6811b78d5c55b53a3ab781ea65b5cbd5d5f704312db1b9d373c401c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-01T12:01:06Z","title_canon_sha256":"1d3c203bd83639942ef051c788b829c9ee68032cab025719d4d507c3f93a68b7"},"schema_version":"1.0","source":{"id":"1509.00241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00241","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00241v1","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00241","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"pith_short_12","alias_value":"7IHYJGUR2GUY","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7IHYJGUR2GUYWYIC","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7IHYJGUR","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:cd18be5db3f30dc52891180575474b5404b98147af2e5f6f0071e5074a30ad1b","target":"graph","created_at":"2026-05-18T01:34:14Z","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 characterize matrices whose powers coincide with their Hadamard powers.","authors_text":"Roman Drnov\\v{s}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-01T12:01:06Z","title":"When powers of a matrix coincide with its Hadamard powers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00241","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":"sha256:9f3b3602a24b79de7f1bd6cfd71046e34c74624c5dd22be480cc152e07818e07","target":"record","created_at":"2026-05-18T01:34:14Z","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":"9821359a6811b78d5c55b53a3ab781ea65b5cbd5d5f704312db1b9d373c401c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-09-01T12:01:06Z","title_canon_sha256":"1d3c203bd83639942ef051c788b829c9ee68032cab025719d4d507c3f93a68b7"},"schema_version":"1.0","source":{"id":"1509.00241","kind":"arxiv","version":1}},"canonical_sha256":"fa0f849a91d1a98b61029e91192e76fe09069f40d1ccfac61c4cf4e3bc38e2f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa0f849a91d1a98b61029e91192e76fe09069f40d1ccfac61c4cf4e3bc38e2f5","first_computed_at":"2026-05-18T01:34:14.761145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:14.761145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HhqblnkSkF6RccWOOcmDxrl7RfxEf0J2WfTxzBMzPQY9C6oWT6Gv5qhxpv1sIznBOlVN/wMeur9zqJ27PC15Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:14.761903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f3b3602a24b79de7f1bd6cfd71046e34c74624c5dd22be480cc152e07818e07","sha256:cd18be5db3f30dc52891180575474b5404b98147af2e5f6f0071e5074a30ad1b"],"state_sha256":"330af79f8fd1424dc0501e8aba0b1d2e4f81f1394dc785d55be8dbc3c2ca103b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FkI3f17XnIfQlKJb7qJaSqqlQ58KIUcqs7gAcBVM9RZNbf9uZNrB0daDqm1CDA/byzXFZZrGVRzYwNSE8rPqDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T10:05:03.402739Z","bundle_sha256":"71395c4f00e31c724ffa70e6725e36a2f72eedb060b0f6da8e2654592e59bed6"}}