{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YQ2UGVDOG7MJXTOWKD25OYGU6V","short_pith_number":"pith:YQ2UGVDO","canonical_record":{"source":{"id":"1106.0525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-06-02T22:11:42Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"307494dc598c4eba5cdc424987c658457b265a1db0c0bb8f7bbde04ca00d5c78","abstract_canon_sha256":"c67879ea670a70936b623d51e7fbb2b06fe196bb8a7e58e9f7999b52708be477"},"schema_version":"1.0"},"canonical_sha256":"c43543546e37d89bcdd650f5d760d4f5463cf7770a4edd41ff8bdfbcfd725f1d","source":{"kind":"arxiv","id":"1106.0525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0525","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0525v1","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0525","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"pith_short_12","alias_value":"YQ2UGVDOG7MJ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YQ2UGVDOG7MJXTOW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YQ2UGVDO","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YQ2UGVDOG7MJXTOWKD25OYGU6V","target":"record","payload":{"canonical_record":{"source":{"id":"1106.0525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-06-02T22:11:42Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"307494dc598c4eba5cdc424987c658457b265a1db0c0bb8f7bbde04ca00d5c78","abstract_canon_sha256":"c67879ea670a70936b623d51e7fbb2b06fe196bb8a7e58e9f7999b52708be477"},"schema_version":"1.0"},"canonical_sha256":"c43543546e37d89bcdd650f5d760d4f5463cf7770a4edd41ff8bdfbcfd725f1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:40.991141Z","signature_b64":"A3hPzM5iciKn8BQ1jAXJRqG+opZgMTBwAFmQREOG0RT7J1RD/qwtlvItHuyvIaj5kRnleK3VH0JrSyB/55p6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c43543546e37d89bcdd650f5d760d4f5463cf7770a4edd41ff8bdfbcfd725f1d","last_reissued_at":"2026-05-18T01:21:40.990634Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:40.990634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.0525","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":"2026-05-18T01:21:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JIQ29NBXKf6NohIfAS+7lLL51+7wnkeqS0vVHunwbHA93SAbwQOCXCGRr0tQQqjji1AbZqOmP5Gc6aLpq2pODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:34:50.019849Z"},"content_sha256":"adf9d182cd79c2ee36c122c81fa022c4ecb1d95ec2f63a2fc3b246a2d2463be3","schema_version":"1.0","event_id":"sha256:adf9d182cd79c2ee36c122c81fa022c4ecb1d95ec2f63a2fc3b246a2d2463be3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YQ2UGVDOG7MJXTOWKD25OYGU6V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A cyclic extension of the earthquake flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker","submitted_at":"2011-06-02T22:11:42Z","abstract_excerpt":"Let $\\cT$ be Teichm\\\"uller space of a closed surface of genus at least 2. For any point $c\\in \\cT$, we describe an action of the circle on $\\cT\\times \\cT$, which limits to the earthquake flow when one of the parameters goes to a measured lamination in the Thurston boundary of $\\cT$. This circle action shares some of the main properties of the earthquake flow, for instance it satisfies an extension of Thurston's Earthquake Theorem and it has a complex extension which is analogous and limits to complex earthquakes. Moreover, a related circle action on $\\cT\\times \\cT$ extends to the product of tw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0525","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":"2026-05-18T01:21:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/JAzPIHc/VyTv5m7f90zWHUneSMhNuCf4lvmzLRfLjxV3G0quJc88gqQKVMtBOFhI25rMA3lGF7ZCLO2gHsBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:34:50.020291Z"},"content_sha256":"5fb255785333f88c157a41b7abb8abd0152662ef85ef4a8eb66921c860c48990","schema_version":"1.0","event_id":"sha256:5fb255785333f88c157a41b7abb8abd0152662ef85ef4a8eb66921c860c48990"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YQ2UGVDOG7MJXTOWKD25OYGU6V/bundle.json","state_url":"https://pith.science/pith/YQ2UGVDOG7MJXTOWKD25OYGU6V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YQ2UGVDOG7MJXTOWKD25OYGU6V/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":"2026-06-06T18:34:50Z","links":{"resolver":"https://pith.science/pith/YQ2UGVDOG7MJXTOWKD25OYGU6V","bundle":"https://pith.science/pith/YQ2UGVDOG7MJXTOWKD25OYGU6V/bundle.json","state":"https://pith.science/pith/YQ2UGVDOG7MJXTOWKD25OYGU6V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YQ2UGVDOG7MJXTOWKD25OYGU6V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YQ2UGVDOG7MJXTOWKD25OYGU6V","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":"c67879ea670a70936b623d51e7fbb2b06fe196bb8a7e58e9f7999b52708be477","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-06-02T22:11:42Z","title_canon_sha256":"307494dc598c4eba5cdc424987c658457b265a1db0c0bb8f7bbde04ca00d5c78"},"schema_version":"1.0","source":{"id":"1106.0525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.0525","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"arxiv_version","alias_value":"1106.0525v1","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.0525","created_at":"2026-05-18T01:21:40Z"},{"alias_kind":"pith_short_12","alias_value":"YQ2UGVDOG7MJ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YQ2UGVDOG7MJXTOW","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YQ2UGVDO","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:5fb255785333f88c157a41b7abb8abd0152662ef85ef4a8eb66921c860c48990","target":"graph","created_at":"2026-05-18T01:21:40Z","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":"Let $\\cT$ be Teichm\\\"uller space of a closed surface of genus at least 2. For any point $c\\in \\cT$, we describe an action of the circle on $\\cT\\times \\cT$, which limits to the earthquake flow when one of the parameters goes to a measured lamination in the Thurston boundary of $\\cT$. This circle action shares some of the main properties of the earthquake flow, for instance it satisfies an extension of Thurston's Earthquake Theorem and it has a complex extension which is analogous and limits to complex earthquakes. Moreover, a related circle action on $\\cT\\times \\cT$ extends to the product of tw","authors_text":"Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-06-02T22:11:42Z","title":"A cyclic extension of the earthquake flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.0525","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:adf9d182cd79c2ee36c122c81fa022c4ecb1d95ec2f63a2fc3b246a2d2463be3","target":"record","created_at":"2026-05-18T01:21:40Z","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":"c67879ea670a70936b623d51e7fbb2b06fe196bb8a7e58e9f7999b52708be477","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-06-02T22:11:42Z","title_canon_sha256":"307494dc598c4eba5cdc424987c658457b265a1db0c0bb8f7bbde04ca00d5c78"},"schema_version":"1.0","source":{"id":"1106.0525","kind":"arxiv","version":1}},"canonical_sha256":"c43543546e37d89bcdd650f5d760d4f5463cf7770a4edd41ff8bdfbcfd725f1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c43543546e37d89bcdd650f5d760d4f5463cf7770a4edd41ff8bdfbcfd725f1d","first_computed_at":"2026-05-18T01:21:40.990634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:40.990634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A3hPzM5iciKn8BQ1jAXJRqG+opZgMTBwAFmQREOG0RT7J1RD/qwtlvItHuyvIaj5kRnleK3VH0JrSyB/55p6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:40.991141Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.0525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adf9d182cd79c2ee36c122c81fa022c4ecb1d95ec2f63a2fc3b246a2d2463be3","sha256:5fb255785333f88c157a41b7abb8abd0152662ef85ef4a8eb66921c860c48990"],"state_sha256":"5a467e88fe378ec84ef5a242b3cee7a515ba327a0f56338042f108040d605de5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5b8BQq/UxaQJGtnKLYCoaSlQeKvR4Lg8B2fOBX7nuJG/P+XbRSy2BzNOEC4qAidMhAkprI+kjRCwvbC+yhMoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:34:50.023085Z","bundle_sha256":"2b23c4dafc5b8aefb6cab72343542db5fc98392d25aaa9c4d9d3c0d8bb5736f0"}}