{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:TRXBTTD3WN6EYWQMO73SGG47AS","short_pith_number":"pith:TRXBTTD3","canonical_record":{"source":{"id":"1405.1465","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-05-06T22:31:10Z","cross_cats_sorted":[],"title_canon_sha256":"033233ff5438fd836e120a2c523b90f5d18a509bda76e506d43dac02632efc98","abstract_canon_sha256":"104c843a3109f968df7c9c352e6f18bcef23830cfe1b39ed90f237ca21803abd"},"schema_version":"1.0"},"canonical_sha256":"9c6e19cc7bb37c4c5a0c77f7231b9f049e6bd455ef286e96a024409e45066e8a","source":{"kind":"arxiv","id":"1405.1465","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1465","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1465v2","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1465","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"pith_short_12","alias_value":"TRXBTTD3WN6E","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TRXBTTD3WN6EYWQM","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TRXBTTD3","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:TRXBTTD3WN6EYWQMO73SGG47AS","target":"record","payload":{"canonical_record":{"source":{"id":"1405.1465","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-05-06T22:31:10Z","cross_cats_sorted":[],"title_canon_sha256":"033233ff5438fd836e120a2c523b90f5d18a509bda76e506d43dac02632efc98","abstract_canon_sha256":"104c843a3109f968df7c9c352e6f18bcef23830cfe1b39ed90f237ca21803abd"},"schema_version":"1.0"},"canonical_sha256":"9c6e19cc7bb37c4c5a0c77f7231b9f049e6bd455ef286e96a024409e45066e8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:00.563638Z","signature_b64":"V5nLfs68HgCAvdmcMME2a8+a7Zc5ck7R30Tem9hi2WqcZWVKGJ0Wya2hxMlqwi71xR0h/ZhfvERYeCgnLZBSDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c6e19cc7bb37c4c5a0c77f7231b9f049e6bd455ef286e96a024409e45066e8a","last_reissued_at":"2026-05-18T01:15:00.562999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:00.562999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.1465","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":"2026-05-18T01:15:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gPE+uL2YzoG7TUkRNkISY+U26/eou5H4vA+MvdKNXDxtWIOvRpcGeV4RR/VS5ov5ZB5Kh8NgEfeE9+BqoNTGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:21.920426Z"},"content_sha256":"9b444c8b3fb5502e2f246503ad50798106ca4703edc1f69fe2b694e680f17fd6","schema_version":"1.0","event_id":"sha256:9b444c8b3fb5502e2f246503ad50798106ca4703edc1f69fe2b694e680f17fd6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:TRXBTTD3WN6EYWQMO73SGG47AS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The shadow of a Thurston geodesic to the curve graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Anna Lenzhen, Jing Tao, Kasra Rafi","submitted_at":"2014-05-06T22:31:10Z","abstract_excerpt":"We study the geometry of the Thurston metric on Teichmuller space by examining its geodesics and comparing them to Teichmuller geodesics. We show that, similar to a Teichmuller geodesic, the shadow of a Thurston geodesic to the curve graph is a reparametrized quasi-geodesic. However, we show that the set of short curves along the two geodesics are not identical."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1465","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":"2026-05-18T01:15:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJa8GzJuQabZHiVc41VChOMk6xQ1Dad7oLD11v+UZu/FESHQ2RaAHldrKEW8dRU3E9MlNvOoRIRyplU8IiYOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:21.921022Z"},"content_sha256":"05659f68ccfec468458bbc74998eb68d139eb001cfd104225902d68d99c2564b","schema_version":"1.0","event_id":"sha256:05659f68ccfec468458bbc74998eb68d139eb001cfd104225902d68d99c2564b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRXBTTD3WN6EYWQMO73SGG47AS/bundle.json","state_url":"https://pith.science/pith/TRXBTTD3WN6EYWQMO73SGG47AS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRXBTTD3WN6EYWQMO73SGG47AS/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":"2026-06-09T06:52:21Z","links":{"resolver":"https://pith.science/pith/TRXBTTD3WN6EYWQMO73SGG47AS","bundle":"https://pith.science/pith/TRXBTTD3WN6EYWQMO73SGG47AS/bundle.json","state":"https://pith.science/pith/TRXBTTD3WN6EYWQMO73SGG47AS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRXBTTD3WN6EYWQMO73SGG47AS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TRXBTTD3WN6EYWQMO73SGG47AS","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":"104c843a3109f968df7c9c352e6f18bcef23830cfe1b39ed90f237ca21803abd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-05-06T22:31:10Z","title_canon_sha256":"033233ff5438fd836e120a2c523b90f5d18a509bda76e506d43dac02632efc98"},"schema_version":"1.0","source":{"id":"1405.1465","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1465","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1465v2","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1465","created_at":"2026-05-18T01:15:00Z"},{"alias_kind":"pith_short_12","alias_value":"TRXBTTD3WN6E","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TRXBTTD3WN6EYWQM","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TRXBTTD3","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:05659f68ccfec468458bbc74998eb68d139eb001cfd104225902d68d99c2564b","target":"graph","created_at":"2026-05-18T01:15:00Z","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 study the geometry of the Thurston metric on Teichmuller space by examining its geodesics and comparing them to Teichmuller geodesics. We show that, similar to a Teichmuller geodesic, the shadow of a Thurston geodesic to the curve graph is a reparametrized quasi-geodesic. However, we show that the set of short curves along the two geodesics are not identical.","authors_text":"Anna Lenzhen, Jing Tao, Kasra Rafi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-05-06T22:31:10Z","title":"The shadow of a Thurston geodesic to the curve graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1465","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":"sha256:9b444c8b3fb5502e2f246503ad50798106ca4703edc1f69fe2b694e680f17fd6","target":"record","created_at":"2026-05-18T01:15:00Z","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":"104c843a3109f968df7c9c352e6f18bcef23830cfe1b39ed90f237ca21803abd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-05-06T22:31:10Z","title_canon_sha256":"033233ff5438fd836e120a2c523b90f5d18a509bda76e506d43dac02632efc98"},"schema_version":"1.0","source":{"id":"1405.1465","kind":"arxiv","version":2}},"canonical_sha256":"9c6e19cc7bb37c4c5a0c77f7231b9f049e6bd455ef286e96a024409e45066e8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c6e19cc7bb37c4c5a0c77f7231b9f049e6bd455ef286e96a024409e45066e8a","first_computed_at":"2026-05-18T01:15:00.562999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:00.562999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V5nLfs68HgCAvdmcMME2a8+a7Zc5ck7R30Tem9hi2WqcZWVKGJ0Wya2hxMlqwi71xR0h/ZhfvERYeCgnLZBSDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:00.563638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1465","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b444c8b3fb5502e2f246503ad50798106ca4703edc1f69fe2b694e680f17fd6","sha256:05659f68ccfec468458bbc74998eb68d139eb001cfd104225902d68d99c2564b"],"state_sha256":"313174c41c277f373dfe517af3f1c8b1aefa6b451bd46e3a9c9ddfba69db0e8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vU5H+ZxLS6YMAQblNH36ZNM1orwnRQ2VSYBaCS1vidclLQRiaCT9Sv+xSNZiPrnPCrmOb41/y2NUBGriev7tBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:52:21.926874Z","bundle_sha256":"115589ad92810bd675a67fee4e76323f9e928fb4b9c493457f8f8c9d42e84119"}}