{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SCUTNFJERHIKJ5WNF5BBBSMYA5","short_pith_number":"pith:SCUTNFJE","canonical_record":{"source":{"id":"1609.08719","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-09-28T01:23:32Z","cross_cats_sorted":[],"title_canon_sha256":"6e2bc084df21d82f2f886bcb1465245add24458b413841856abe5eff41774f26","abstract_canon_sha256":"19819cdae03cc6ad6e2a320f9227afe933f3ca781b6149db0ff26fbe3add3af2"},"schema_version":"1.0"},"canonical_sha256":"90a936952489d0a4f6cd2f4210c9980771e92dc2a9abc3e9be1609b00b096033","source":{"kind":"arxiv","id":"1609.08719","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08719","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08719v1","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08719","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"pith_short_12","alias_value":"SCUTNFJERHIK","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SCUTNFJERHIKJ5WN","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SCUTNFJE","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SCUTNFJERHIKJ5WNF5BBBSMYA5","target":"record","payload":{"canonical_record":{"source":{"id":"1609.08719","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-09-28T01:23:32Z","cross_cats_sorted":[],"title_canon_sha256":"6e2bc084df21d82f2f886bcb1465245add24458b413841856abe5eff41774f26","abstract_canon_sha256":"19819cdae03cc6ad6e2a320f9227afe933f3ca781b6149db0ff26fbe3add3af2"},"schema_version":"1.0"},"canonical_sha256":"90a936952489d0a4f6cd2f4210c9980771e92dc2a9abc3e9be1609b00b096033","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:42.103037Z","signature_b64":"w1Myt4MfDlD1AYVcSbjxVWVprYw2o9OGhXnTVOvOaSi+kQUCuRmJKYXAHaJZEWBP8/P4mF9Bp+WfK41DGOxqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90a936952489d0a4f6cd2f4210c9980771e92dc2a9abc3e9be1609b00b096033","last_reissued_at":"2026-05-18T01:03:42.102362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:42.102362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.08719","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":"2026-05-18T01:03:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OfACsSSIaYX/jODi4dRibMWi4xQh4X/2APkQvqvNnIl23+g2nXA8Uwa62wVowJIwE8cWinVh0VGqpR0htKULBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:39:58.370938Z"},"content_sha256":"0bdf52348f61f7c83356cd9768ae41b4c15be2ac61b4f87d872ae06189a2d343","schema_version":"1.0","event_id":"sha256:0bdf52348f61f7c83356cd9768ae41b4c15be2ac61b4f87d872ae06189a2d343"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SCUTNFJERHIKJ5WNF5BBBSMYA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An experimental investigation of Neumann's conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Peter Huston, Stephen Gilles","submitted_at":"2016-09-28T01:23:32Z","abstract_excerpt":"We use a large census of hyperbolic 3-manifolds to experimentally investigate a conjecture of Neumann regarding the Bloch Group. We present an augmented census including, for feasible invariant trace fields, explicit manifolds (associated to that field) that appear to generate the Bloch group of that field. We also make use of Ptolemy coordinates to compute \"exotic volumes\" of representations, and attempt to realize these volumes as linear combinations of generator volumes. We thus present a large body of empirical support for Neumann's conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08719","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":"2026-05-18T01:03:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A6xneAyypAroiZoIe3BAnR9qcJBQMRsTatSHfjC5bIZe+/rFf26qIPUYn/YFuosenlwIJm3FfNvNql3YWACYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:39:58.371278Z"},"content_sha256":"9a759082770754b1c286972e0842c52e558816549a941ce4602be87afb921367","schema_version":"1.0","event_id":"sha256:9a759082770754b1c286972e0842c52e558816549a941ce4602be87afb921367"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SCUTNFJERHIKJ5WNF5BBBSMYA5/bundle.json","state_url":"https://pith.science/pith/SCUTNFJERHIKJ5WNF5BBBSMYA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SCUTNFJERHIKJ5WNF5BBBSMYA5/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":"2026-06-05T17:39:58Z","links":{"resolver":"https://pith.science/pith/SCUTNFJERHIKJ5WNF5BBBSMYA5","bundle":"https://pith.science/pith/SCUTNFJERHIKJ5WNF5BBBSMYA5/bundle.json","state":"https://pith.science/pith/SCUTNFJERHIKJ5WNF5BBBSMYA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SCUTNFJERHIKJ5WNF5BBBSMYA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SCUTNFJERHIKJ5WNF5BBBSMYA5","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":"19819cdae03cc6ad6e2a320f9227afe933f3ca781b6149db0ff26fbe3add3af2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-09-28T01:23:32Z","title_canon_sha256":"6e2bc084df21d82f2f886bcb1465245add24458b413841856abe5eff41774f26"},"schema_version":"1.0","source":{"id":"1609.08719","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08719","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08719v1","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08719","created_at":"2026-05-18T01:03:42Z"},{"alias_kind":"pith_short_12","alias_value":"SCUTNFJERHIK","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SCUTNFJERHIKJ5WN","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SCUTNFJE","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:9a759082770754b1c286972e0842c52e558816549a941ce4602be87afb921367","target":"graph","created_at":"2026-05-18T01:03:42Z","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 use a large census of hyperbolic 3-manifolds to experimentally investigate a conjecture of Neumann regarding the Bloch Group. We present an augmented census including, for feasible invariant trace fields, explicit manifolds (associated to that field) that appear to generate the Bloch group of that field. We also make use of Ptolemy coordinates to compute \"exotic volumes\" of representations, and attempt to realize these volumes as linear combinations of generator volumes. We thus present a large body of empirical support for Neumann's conjecture.","authors_text":"Peter Huston, Stephen Gilles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-09-28T01:23:32Z","title":"An experimental investigation of Neumann's conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08719","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":"sha256:0bdf52348f61f7c83356cd9768ae41b4c15be2ac61b4f87d872ae06189a2d343","target":"record","created_at":"2026-05-18T01:03:42Z","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":"19819cdae03cc6ad6e2a320f9227afe933f3ca781b6149db0ff26fbe3add3af2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-09-28T01:23:32Z","title_canon_sha256":"6e2bc084df21d82f2f886bcb1465245add24458b413841856abe5eff41774f26"},"schema_version":"1.0","source":{"id":"1609.08719","kind":"arxiv","version":1}},"canonical_sha256":"90a936952489d0a4f6cd2f4210c9980771e92dc2a9abc3e9be1609b00b096033","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90a936952489d0a4f6cd2f4210c9980771e92dc2a9abc3e9be1609b00b096033","first_computed_at":"2026-05-18T01:03:42.102362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:42.102362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w1Myt4MfDlD1AYVcSbjxVWVprYw2o9OGhXnTVOvOaSi+kQUCuRmJKYXAHaJZEWBP8/P4mF9Bp+WfK41DGOxqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:42.103037Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.08719","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bdf52348f61f7c83356cd9768ae41b4c15be2ac61b4f87d872ae06189a2d343","sha256:9a759082770754b1c286972e0842c52e558816549a941ce4602be87afb921367"],"state_sha256":"a00be07366339ba552efa17e4a3a74c1a7e5c1315b7d6fa33307c331700f4616"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4EHoojwTxIoCFRqo+grMqfBorfLO5iKxMOOWwrYJklDx/5/bHs1AGVNQ6twiY8OLBNZxl5I15+yzX7uSz404BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T17:39:58.373172Z","bundle_sha256":"a73bd02effd986a86450c287b492ebcd2b8c0af41a5ff88873e9b92c2cc28b62"}}