{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ZQWTDMWI3AM6UHEJGSRFV4YOZH","short_pith_number":"pith:ZQWTDMWI","canonical_record":{"source":{"id":"1703.02687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-08T03:47:23Z","cross_cats_sorted":["math.CV","math.MG"],"title_canon_sha256":"8c1bca35d73bdd9a5086e03a94da72e2c3ce407c6a310c41e761a1f3e26cf879","abstract_canon_sha256":"7ab5bde2963c562b54e385ca18fa5783e41bcc7b2f3d7026814952bb296832d3"},"schema_version":"1.0"},"canonical_sha256":"cc2d31b2c8d819ea1c8934a25af30ec9d1c1f900c144df389da6852f922fb59e","source":{"kind":"arxiv","id":"1703.02687","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02687","created_at":"2026-05-18T00:49:05Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02687v1","created_at":"2026-05-18T00:49:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02687","created_at":"2026-05-18T00:49:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZQWTDMWI3AM6","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZQWTDMWI3AM6UHEJ","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZQWTDMWI","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ZQWTDMWI3AM6UHEJGSRFV4YOZH","target":"record","payload":{"canonical_record":{"source":{"id":"1703.02687","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-08T03:47:23Z","cross_cats_sorted":["math.CV","math.MG"],"title_canon_sha256":"8c1bca35d73bdd9a5086e03a94da72e2c3ce407c6a310c41e761a1f3e26cf879","abstract_canon_sha256":"7ab5bde2963c562b54e385ca18fa5783e41bcc7b2f3d7026814952bb296832d3"},"schema_version":"1.0"},"canonical_sha256":"cc2d31b2c8d819ea1c8934a25af30ec9d1c1f900c144df389da6852f922fb59e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:05.871095Z","signature_b64":"ue4R3chd1triQOhKdKMctS0VuT61+DZn4AbzJ8wHF0AkuEOVF3k+cYkr6DtQPUuNdoIpYd315hsJcDbLunhIDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc2d31b2c8d819ea1c8934a25af30ec9d1c1f900c144df389da6852f922fb59e","last_reissued_at":"2026-05-18T00:49:05.870592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:05.870592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.02687","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":"2026-05-18T00:49:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ik3h2/cr83Gtc0Gjwht0EIW2ioJZYbHPLOWsHeflryQMP/VYZFCVy0Ts3nFb5VC6xB233RS4CAhqJkHbkBCgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:30:01.908396Z"},"content_sha256":"07ab9fe64a466b34de2826981f8eaee7a375911a839067c2df9a29fcf5457d22","schema_version":"1.0","event_id":"sha256:07ab9fe64a466b34de2826981f8eaee7a375911a839067c2df9a29fcf5457d22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ZQWTDMWI3AM6UHEJGSRFV4YOZH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Almost isometries between Teichm\\\"uller spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.MG"],"primary_cat":"math.GT","authors_text":"Huiping Pan, Lixin Liu, Manman Jiang","submitted_at":"2017-03-08T03:47:23Z","abstract_excerpt":"We prove that the Teichm\\\"uller space of surfaces with given boundary lengths equipped with the arc metric (resp. the Teichm\\\"uller metric) is almost isometric to the Teichm\\\"uller space of punctured surfaces equipped with the Thurston metric (resp. the Teichm\\\"uller metric)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02687","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":"2026-05-18T00:49:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CnBGG1+HHm/M3EYzcZe49Lp5rMyKEiX4tv+shND9u8JoAUm0bBetsdtgi1fX9NtjcgefNkOZYlx9mqkklmEoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T11:30:01.908753Z"},"content_sha256":"15e346c2734edfb55f214b657f824f865bd50e950cfba293875a0eaeb6c22f93","schema_version":"1.0","event_id":"sha256:15e346c2734edfb55f214b657f824f865bd50e950cfba293875a0eaeb6c22f93"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZQWTDMWI3AM6UHEJGSRFV4YOZH/bundle.json","state_url":"https://pith.science/pith/ZQWTDMWI3AM6UHEJGSRFV4YOZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZQWTDMWI3AM6UHEJGSRFV4YOZH/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":"2026-06-25T11:30:01Z","links":{"resolver":"https://pith.science/pith/ZQWTDMWI3AM6UHEJGSRFV4YOZH","bundle":"https://pith.science/pith/ZQWTDMWI3AM6UHEJGSRFV4YOZH/bundle.json","state":"https://pith.science/pith/ZQWTDMWI3AM6UHEJGSRFV4YOZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZQWTDMWI3AM6UHEJGSRFV4YOZH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZQWTDMWI3AM6UHEJGSRFV4YOZH","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":"7ab5bde2963c562b54e385ca18fa5783e41bcc7b2f3d7026814952bb296832d3","cross_cats_sorted":["math.CV","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-08T03:47:23Z","title_canon_sha256":"8c1bca35d73bdd9a5086e03a94da72e2c3ce407c6a310c41e761a1f3e26cf879"},"schema_version":"1.0","source":{"id":"1703.02687","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.02687","created_at":"2026-05-18T00:49:05Z"},{"alias_kind":"arxiv_version","alias_value":"1703.02687v1","created_at":"2026-05-18T00:49:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.02687","created_at":"2026-05-18T00:49:05Z"},{"alias_kind":"pith_short_12","alias_value":"ZQWTDMWI3AM6","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZQWTDMWI3AM6UHEJ","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZQWTDMWI","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:15e346c2734edfb55f214b657f824f865bd50e950cfba293875a0eaeb6c22f93","target":"graph","created_at":"2026-05-18T00:49:05Z","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 prove that the Teichm\\\"uller space of surfaces with given boundary lengths equipped with the arc metric (resp. the Teichm\\\"uller metric) is almost isometric to the Teichm\\\"uller space of punctured surfaces equipped with the Thurston metric (resp. the Teichm\\\"uller metric).","authors_text":"Huiping Pan, Lixin Liu, Manman Jiang","cross_cats":["math.CV","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-08T03:47:23Z","title":"Almost isometries between Teichm\\\"uller spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.02687","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":"sha256:07ab9fe64a466b34de2826981f8eaee7a375911a839067c2df9a29fcf5457d22","target":"record","created_at":"2026-05-18T00:49:05Z","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":"7ab5bde2963c562b54e385ca18fa5783e41bcc7b2f3d7026814952bb296832d3","cross_cats_sorted":["math.CV","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-08T03:47:23Z","title_canon_sha256":"8c1bca35d73bdd9a5086e03a94da72e2c3ce407c6a310c41e761a1f3e26cf879"},"schema_version":"1.0","source":{"id":"1703.02687","kind":"arxiv","version":1}},"canonical_sha256":"cc2d31b2c8d819ea1c8934a25af30ec9d1c1f900c144df389da6852f922fb59e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc2d31b2c8d819ea1c8934a25af30ec9d1c1f900c144df389da6852f922fb59e","first_computed_at":"2026-05-18T00:49:05.870592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:05.870592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ue4R3chd1triQOhKdKMctS0VuT61+DZn4AbzJ8wHF0AkuEOVF3k+cYkr6DtQPUuNdoIpYd315hsJcDbLunhIDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:05.871095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.02687","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07ab9fe64a466b34de2826981f8eaee7a375911a839067c2df9a29fcf5457d22","sha256:15e346c2734edfb55f214b657f824f865bd50e950cfba293875a0eaeb6c22f93"],"state_sha256":"fc0942fce55ce08a860692faab36cfd22d5974cfce3270a83eda82ea5750fbab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Hb5Lih6fFIveC4Dbeh1M5FaBM+dSVe4CZOqEjPevoXknUU7cTmFDS59+qWu9Z8mkYrO4LXn9kTbSwb18PEhDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T11:30:01.910737Z","bundle_sha256":"8820966042b083421486b2856dedf082ac0946b6cb0696907fba577695ee352e"}}