{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:NOM3FALLWAAKSR5OSLFPJVFIMI","short_pith_number":"pith:NOM3FALL","canonical_record":{"source":{"id":"0911.1418","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-09T19:17:32Z","cross_cats_sorted":[],"title_canon_sha256":"cf8ab7ca1a20118e8db6f363699ded6cb167567cd5da853966f4a4161186bd69","abstract_canon_sha256":"2929fad5df5b1ffb746a6cd033df041be12cafc3678e43c877101e1351f5cd5a"},"schema_version":"1.0"},"canonical_sha256":"6b99b2816bb000a947ae92caf4d4a86216616f586107a5c6524d7871be87c67d","source":{"kind":"arxiv","id":"0911.1418","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1418","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1418v2","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1418","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"pith_short_12","alias_value":"NOM3FALLWAAK","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"NOM3FALLWAAKSR5O","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"NOM3FALL","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:NOM3FALLWAAKSR5OSLFPJVFIMI","target":"record","payload":{"canonical_record":{"source":{"id":"0911.1418","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-09T19:17:32Z","cross_cats_sorted":[],"title_canon_sha256":"cf8ab7ca1a20118e8db6f363699ded6cb167567cd5da853966f4a4161186bd69","abstract_canon_sha256":"2929fad5df5b1ffb746a6cd033df041be12cafc3678e43c877101e1351f5cd5a"},"schema_version":"1.0"},"canonical_sha256":"6b99b2816bb000a947ae92caf4d4a86216616f586107a5c6524d7871be87c67d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:05.211844Z","signature_b64":"SF9D16w4s1WEpcahRxltoUe3ixLU/RqfCcMaLg4ML9RHl9zsrw9RTSAd1/I0o2Ld1IQcUeWY1IH33H4wV5Q6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b99b2816bb000a947ae92caf4d4a86216616f586107a5c6524d7871be87c67d","last_reissued_at":"2026-05-18T04:41:05.211443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:05.211443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.1418","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":"2026-05-18T04:41:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bp75I9aKliHOC6MoHMS9+K17ijrq3qz8r4q6aV1PL99wmVXv01MxQndq8vH0rMQrdHQmk3b98jqiaPUsxDlpCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T08:00:13.853231Z"},"content_sha256":"6687820e5a6a188cf54990c674b969536eda7b3385efa26eaff7758e5a72e62c","schema_version":"1.0","event_id":"sha256:6687820e5a6a188cf54990c674b969536eda7b3385efa26eaff7758e5a72e62c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:NOM3FALLWAAKSR5OSLFPJVFIMI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moduli spaces of hyperbolic 3-manifolds and dynamics on character varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Peter A. Storm, Richard D. Canary","submitted_at":"2009-11-09T19:17:32Z","abstract_excerpt":"The space AH(M) of marked hyperbolic 3-manifold homotopy equivalent to a compact 3-manifold with boundary M sits inside the PSL_2(C)-character variety X(M) of \\pi_1(M). We study the dynamics of the action of Out(\\pi_1(M)) on both AH(M) and X(M). The nature of the dynamics reflects the topology of M.\n  The quotient AI(M)=AH(M)/Out(\\pi_1(M)) may naturally be thought of as the moduli space of unmarked hyperbolic 3-manifolds homotopy equivalent to M and its topology reflects the dynamics of the action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1418","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":"2026-05-18T04:41:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dCRN4+pobfWFZcyM9clwr84NB89dk4BM99fmFHYBEGRiGbaS8h5z7+dal8+xeSeyLfqpYqDOteFRxUIlpc5QAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T08:00:13.853726Z"},"content_sha256":"2ca1a393ab9b5dcf5db1321008515ac122574314a5cb3d1b93f308f1fc43d36e","schema_version":"1.0","event_id":"sha256:2ca1a393ab9b5dcf5db1321008515ac122574314a5cb3d1b93f308f1fc43d36e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NOM3FALLWAAKSR5OSLFPJVFIMI/bundle.json","state_url":"https://pith.science/pith/NOM3FALLWAAKSR5OSLFPJVFIMI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NOM3FALLWAAKSR5OSLFPJVFIMI/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":"2026-05-22T08:00:13Z","links":{"resolver":"https://pith.science/pith/NOM3FALLWAAKSR5OSLFPJVFIMI","bundle":"https://pith.science/pith/NOM3FALLWAAKSR5OSLFPJVFIMI/bundle.json","state":"https://pith.science/pith/NOM3FALLWAAKSR5OSLFPJVFIMI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NOM3FALLWAAKSR5OSLFPJVFIMI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:NOM3FALLWAAKSR5OSLFPJVFIMI","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":"2929fad5df5b1ffb746a6cd033df041be12cafc3678e43c877101e1351f5cd5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-09T19:17:32Z","title_canon_sha256":"cf8ab7ca1a20118e8db6f363699ded6cb167567cd5da853966f4a4161186bd69"},"schema_version":"1.0","source":{"id":"0911.1418","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.1418","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"arxiv_version","alias_value":"0911.1418v2","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.1418","created_at":"2026-05-18T04:41:05Z"},{"alias_kind":"pith_short_12","alias_value":"NOM3FALLWAAK","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"NOM3FALLWAAKSR5O","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"NOM3FALL","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:2ca1a393ab9b5dcf5db1321008515ac122574314a5cb3d1b93f308f1fc43d36e","target":"graph","created_at":"2026-05-18T04:41:05Z","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":"The space AH(M) of marked hyperbolic 3-manifold homotopy equivalent to a compact 3-manifold with boundary M sits inside the PSL_2(C)-character variety X(M) of \\pi_1(M). We study the dynamics of the action of Out(\\pi_1(M)) on both AH(M) and X(M). The nature of the dynamics reflects the topology of M.\n  The quotient AI(M)=AH(M)/Out(\\pi_1(M)) may naturally be thought of as the moduli space of unmarked hyperbolic 3-manifolds homotopy equivalent to M and its topology reflects the dynamics of the action.","authors_text":"Peter A. Storm, Richard D. Canary","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-09T19:17:32Z","title":"Moduli spaces of hyperbolic 3-manifolds and dynamics on character varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1418","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":"sha256:6687820e5a6a188cf54990c674b969536eda7b3385efa26eaff7758e5a72e62c","target":"record","created_at":"2026-05-18T04:41:05Z","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":"2929fad5df5b1ffb746a6cd033df041be12cafc3678e43c877101e1351f5cd5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-11-09T19:17:32Z","title_canon_sha256":"cf8ab7ca1a20118e8db6f363699ded6cb167567cd5da853966f4a4161186bd69"},"schema_version":"1.0","source":{"id":"0911.1418","kind":"arxiv","version":2}},"canonical_sha256":"6b99b2816bb000a947ae92caf4d4a86216616f586107a5c6524d7871be87c67d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b99b2816bb000a947ae92caf4d4a86216616f586107a5c6524d7871be87c67d","first_computed_at":"2026-05-18T04:41:05.211443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:05.211443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SF9D16w4s1WEpcahRxltoUe3ixLU/RqfCcMaLg4ML9RHl9zsrw9RTSAd1/I0o2Ld1IQcUeWY1IH33H4wV5Q6Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:05.211844Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.1418","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6687820e5a6a188cf54990c674b969536eda7b3385efa26eaff7758e5a72e62c","sha256:2ca1a393ab9b5dcf5db1321008515ac122574314a5cb3d1b93f308f1fc43d36e"],"state_sha256":"e5b40a354bdd311fe8d257205f21db6605d3ef0f443fc97fdf2b2999ca7af8e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CCWAU/DizexOQynia8F/hH69EYuwuvxDH5WemHNoZmjTvp2HjZylACgk9ULLVcEQha9yOtorxRSprmPxSytcCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T08:00:13.857883Z","bundle_sha256":"456262b7ae21772737bcbec29a1106754e6d74c330cb6ecb0f7919945f6bccee"}}