{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YSNZFPGMVZWPXKGHBJRSULD5A5","short_pith_number":"pith:YSNZFPGM","canonical_record":{"source":{"id":"1203.4389","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T11:07:13Z","cross_cats_sorted":[],"title_canon_sha256":"9b4980364e9689b39caff15a3758277189c0c073362ef8dd9ea81221e0a86c6a","abstract_canon_sha256":"f17fb424599f6be32bcf6bb8557c54d27cb9d38aea1288efb56c4b723fa3c3b1"},"schema_version":"1.0"},"canonical_sha256":"c49b92bcccae6cfba8c70a632a2c7d0779be0143bccc3047dc7367048bb664bf","source":{"kind":"arxiv","id":"1203.4389","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4389","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4389v1","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4389","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"pith_short_12","alias_value":"YSNZFPGMVZWP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YSNZFPGMVZWPXKGH","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YSNZFPGM","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YSNZFPGMVZWPXKGHBJRSULD5A5","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4389","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T11:07:13Z","cross_cats_sorted":[],"title_canon_sha256":"9b4980364e9689b39caff15a3758277189c0c073362ef8dd9ea81221e0a86c6a","abstract_canon_sha256":"f17fb424599f6be32bcf6bb8557c54d27cb9d38aea1288efb56c4b723fa3c3b1"},"schema_version":"1.0"},"canonical_sha256":"c49b92bcccae6cfba8c70a632a2c7d0779be0143bccc3047dc7367048bb664bf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:08.008755Z","signature_b64":"7nmCSnOnAZ3IrTC3zMGq0Q98ThaHnL0yyZzwox/wtkuTH/YWsN5ZK6dueOPBjVL+iiuTbARPS0xRPUIDdgfzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c49b92bcccae6cfba8c70a632a2c7d0779be0143bccc3047dc7367048bb664bf","last_reissued_at":"2026-05-18T00:15:08.008156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:08.008156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4389","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":"2026-05-18T00:15:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ph5nYMHbN/btldVyqZGQmUL0e3vLn6DRHkQqM+DFTb/hu1avi6yqjdKLj07N4D2fpjc992TQ7dsPcWv7MFI3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:36:01.079749Z"},"content_sha256":"9fe04aab9eb3522a3828d0c86296b32810ed0a6a5bd72ff72b0d88e10cc064c5","schema_version":"1.0","event_id":"sha256:9fe04aab9eb3522a3828d0c86296b32810ed0a6a5bd72ff72b0d88e10cc064c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YSNZFPGMVZWPXKGHBJRSULD5A5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isophote curves on timelike surfaces in Minkowski 3-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fatih Dogan","submitted_at":"2012-03-20T11:07:13Z","abstract_excerpt":"Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. In this paper, isophote curves are studied on timelike surfaces in Minkowski 3-space E31. The axises of spacelike and timelike isophote curves are found via their Darboux frames. Subsequently, the relationship between isophotes and slant helices is shown on timelike surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4389","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":"2026-05-18T00:15:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LOKRhnUkzFCQs3xTaJxqwDVv5penoWqE6rcGL6BsmPTBSL5/HbdP7y/UtVBDpxMzB5eD720ppprHomsifc8WBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T06:36:01.080466Z"},"content_sha256":"4d4d713f2e646640fa3695007e05020899fc12ae4343cb396ee56a2fe7b0aed1","schema_version":"1.0","event_id":"sha256:4d4d713f2e646640fa3695007e05020899fc12ae4343cb396ee56a2fe7b0aed1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YSNZFPGMVZWPXKGHBJRSULD5A5/bundle.json","state_url":"https://pith.science/pith/YSNZFPGMVZWPXKGHBJRSULD5A5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YSNZFPGMVZWPXKGHBJRSULD5A5/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":"2026-06-08T06:36:01Z","links":{"resolver":"https://pith.science/pith/YSNZFPGMVZWPXKGHBJRSULD5A5","bundle":"https://pith.science/pith/YSNZFPGMVZWPXKGHBJRSULD5A5/bundle.json","state":"https://pith.science/pith/YSNZFPGMVZWPXKGHBJRSULD5A5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YSNZFPGMVZWPXKGHBJRSULD5A5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YSNZFPGMVZWPXKGHBJRSULD5A5","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":"f17fb424599f6be32bcf6bb8557c54d27cb9d38aea1288efb56c4b723fa3c3b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T11:07:13Z","title_canon_sha256":"9b4980364e9689b39caff15a3758277189c0c073362ef8dd9ea81221e0a86c6a"},"schema_version":"1.0","source":{"id":"1203.4389","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4389","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4389v1","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4389","created_at":"2026-05-18T00:15:08Z"},{"alias_kind":"pith_short_12","alias_value":"YSNZFPGMVZWP","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YSNZFPGMVZWPXKGH","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YSNZFPGM","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:4d4d713f2e646640fa3695007e05020899fc12ae4343cb396ee56a2fe7b0aed1","target":"graph","created_at":"2026-05-18T00:15:08Z","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":"Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. In this paper, isophote curves are studied on timelike surfaces in Minkowski 3-space E31. The axises of spacelike and timelike isophote curves are found via their Darboux frames. Subsequently, the relationship between isophotes and slant helices is shown on timelike surfaces.","authors_text":"Fatih Dogan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T11:07:13Z","title":"Isophote curves on timelike surfaces in Minkowski 3-space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4389","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":"sha256:9fe04aab9eb3522a3828d0c86296b32810ed0a6a5bd72ff72b0d88e10cc064c5","target":"record","created_at":"2026-05-18T00:15:08Z","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":"f17fb424599f6be32bcf6bb8557c54d27cb9d38aea1288efb56c4b723fa3c3b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T11:07:13Z","title_canon_sha256":"9b4980364e9689b39caff15a3758277189c0c073362ef8dd9ea81221e0a86c6a"},"schema_version":"1.0","source":{"id":"1203.4389","kind":"arxiv","version":1}},"canonical_sha256":"c49b92bcccae6cfba8c70a632a2c7d0779be0143bccc3047dc7367048bb664bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c49b92bcccae6cfba8c70a632a2c7d0779be0143bccc3047dc7367048bb664bf","first_computed_at":"2026-05-18T00:15:08.008156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:08.008156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7nmCSnOnAZ3IrTC3zMGq0Q98ThaHnL0yyZzwox/wtkuTH/YWsN5ZK6dueOPBjVL+iiuTbARPS0xRPUIDdgfzAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:08.008755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4389","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fe04aab9eb3522a3828d0c86296b32810ed0a6a5bd72ff72b0d88e10cc064c5","sha256:4d4d713f2e646640fa3695007e05020899fc12ae4343cb396ee56a2fe7b0aed1"],"state_sha256":"ed3b361eddcc3ba301c8c9e0f0605be6c0fe27cb7d96c712180c2b9712bf5076"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VvPyxNZOfM9AZKtngTeUm6prnEiRotcVtBs82wNhq30HlQZ6jYQ0DbLyqx6Sqhxwp2c85ClAufMQan/XV6GKBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T06:36:01.084343Z","bundle_sha256":"b0eff82ad9becf9d7ab8e782a39aed5743c23b7229abf04a82add2d1893a5a87"}}