{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DUQR2ZQFOUEHBZJIBRMNT7KTPM","short_pith_number":"pith:DUQR2ZQF","canonical_record":{"source":{"id":"1308.5065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-08-23T07:47:43Z","cross_cats_sorted":[],"title_canon_sha256":"e6f8b99b1a10170dcdac24be5c52742df881f2eb0d79cc516f61fa55fb545dd0","abstract_canon_sha256":"d470fac58531578542c9d7519c1cbc55281c002d402d77d22480205690a418dd"},"schema_version":"1.0"},"canonical_sha256":"1d211d6605750870e5280c58d9fd537b2bc4261fdd8f4e9c02354dac5799103a","source":{"kind":"arxiv","id":"1308.5065","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5065","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5065v1","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5065","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"DUQR2ZQFOUEH","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DUQR2ZQFOUEHBZJI","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DUQR2ZQF","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DUQR2ZQFOUEHBZJIBRMNT7KTPM","target":"record","payload":{"canonical_record":{"source":{"id":"1308.5065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-08-23T07:47:43Z","cross_cats_sorted":[],"title_canon_sha256":"e6f8b99b1a10170dcdac24be5c52742df881f2eb0d79cc516f61fa55fb545dd0","abstract_canon_sha256":"d470fac58531578542c9d7519c1cbc55281c002d402d77d22480205690a418dd"},"schema_version":"1.0"},"canonical_sha256":"1d211d6605750870e5280c58d9fd537b2bc4261fdd8f4e9c02354dac5799103a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:17.399843Z","signature_b64":"r5hHmKrbmC3zVKqTs9PqI6QRxfAJTi0KT0K+BR5OJf7Zf7sXy4Ee3oW7UsZSHy+r84L2zanWE1KVEzUqtEElAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d211d6605750870e5280c58d9fd537b2bc4261fdd8f4e9c02354dac5799103a","last_reissued_at":"2026-05-18T03:15:17.399045Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:17.399045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.5065","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":"2026-05-18T03:15:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WBUY3HfWI35jbxlsi2q/tPAuVoqa+UCAE8TSB8yEBRUKRpzSMdO7Sn4huK3//CgsRLkr1QqDsLdhN7KRXzghBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:44:29.239958Z"},"content_sha256":"7e774a9cc2b2bae14d0225538cb2c000d0beab55249e60387d21cc60fe47b231","schema_version":"1.0","event_id":"sha256:7e774a9cc2b2bae14d0225538cb2c000d0beab55249e60387d21cc60fe47b231"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DUQR2ZQFOUEHBZJIBRMNT7KTPM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Six problems in frame theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ole Christensen","submitted_at":"2013-08-23T07:47:43Z","abstract_excerpt":"We discuss various problems in frame theory that have been open for some years. A short discussion of frame theory is also provided, but it only contains the information that is necessary in order to understand the open problems and their role."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5065","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":"2026-05-18T03:15:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vUsRj4ch9dAKDdBOAEsVdji340PH+dd9tZwKuT0C71RVAa+hnLoGPcH4Gz/Wl3OuZ9snSwiOQgkIXKee2X7iCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:44:29.240344Z"},"content_sha256":"877450272972cad2c2d3cbc3e0a49c35bf518f97295f900ae98b68bfb721fd64","schema_version":"1.0","event_id":"sha256:877450272972cad2c2d3cbc3e0a49c35bf518f97295f900ae98b68bfb721fd64"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DUQR2ZQFOUEHBZJIBRMNT7KTPM/bundle.json","state_url":"https://pith.science/pith/DUQR2ZQFOUEHBZJIBRMNT7KTPM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DUQR2ZQFOUEHBZJIBRMNT7KTPM/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":"2026-05-25T13:44:29Z","links":{"resolver":"https://pith.science/pith/DUQR2ZQFOUEHBZJIBRMNT7KTPM","bundle":"https://pith.science/pith/DUQR2ZQFOUEHBZJIBRMNT7KTPM/bundle.json","state":"https://pith.science/pith/DUQR2ZQFOUEHBZJIBRMNT7KTPM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DUQR2ZQFOUEHBZJIBRMNT7KTPM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DUQR2ZQFOUEHBZJIBRMNT7KTPM","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":"d470fac58531578542c9d7519c1cbc55281c002d402d77d22480205690a418dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-08-23T07:47:43Z","title_canon_sha256":"e6f8b99b1a10170dcdac24be5c52742df881f2eb0d79cc516f61fa55fb545dd0"},"schema_version":"1.0","source":{"id":"1308.5065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5065","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5065v1","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5065","created_at":"2026-05-18T03:15:17Z"},{"alias_kind":"pith_short_12","alias_value":"DUQR2ZQFOUEH","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DUQR2ZQFOUEHBZJI","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DUQR2ZQF","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:877450272972cad2c2d3cbc3e0a49c35bf518f97295f900ae98b68bfb721fd64","target":"graph","created_at":"2026-05-18T03:15:17Z","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 discuss various problems in frame theory that have been open for some years. A short discussion of frame theory is also provided, but it only contains the information that is necessary in order to understand the open problems and their role.","authors_text":"Ole Christensen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-08-23T07:47:43Z","title":"Six problems in frame theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5065","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":"sha256:7e774a9cc2b2bae14d0225538cb2c000d0beab55249e60387d21cc60fe47b231","target":"record","created_at":"2026-05-18T03:15:17Z","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":"d470fac58531578542c9d7519c1cbc55281c002d402d77d22480205690a418dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-08-23T07:47:43Z","title_canon_sha256":"e6f8b99b1a10170dcdac24be5c52742df881f2eb0d79cc516f61fa55fb545dd0"},"schema_version":"1.0","source":{"id":"1308.5065","kind":"arxiv","version":1}},"canonical_sha256":"1d211d6605750870e5280c58d9fd537b2bc4261fdd8f4e9c02354dac5799103a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d211d6605750870e5280c58d9fd537b2bc4261fdd8f4e9c02354dac5799103a","first_computed_at":"2026-05-18T03:15:17.399045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:17.399045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r5hHmKrbmC3zVKqTs9PqI6QRxfAJTi0KT0K+BR5OJf7Zf7sXy4Ee3oW7UsZSHy+r84L2zanWE1KVEzUqtEElAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:17.399843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.5065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e774a9cc2b2bae14d0225538cb2c000d0beab55249e60387d21cc60fe47b231","sha256:877450272972cad2c2d3cbc3e0a49c35bf518f97295f900ae98b68bfb721fd64"],"state_sha256":"7ec7691279a1f0e048bf64fe3e92a570739c47ee003d965627d50a2d4b030def"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"prvzNYPIUbPwEgwWdVtiBNIu6wqc63Dhi8Rc64D4qmd+V+VduXRcTamCy/pPpaWCSdXD0L2FIi9hrGBLpJAVDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T13:44:29.243872Z","bundle_sha256":"a062c0e133398db5a2c04211ba27891a8934cd62c50c3176ec533e58d26dbf6e"}}