{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UQPXM7SOGR3PIEHUKKEKQTPXJJ","short_pith_number":"pith:UQPXM7SO","canonical_record":{"source":{"id":"1106.4798","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-23T19:24:56Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"f438bc93af9c482e230cc5b2732f54d3724fd221d7cc601a15b1141d2df98f92","abstract_canon_sha256":"50c60a2a032cf7175ea643390056157d423c7464c2e72b5a26732a22e1c96518"},"schema_version":"1.0"},"canonical_sha256":"a41f767e4e3476f410f45288a84df74a4cb90201f4cc286e8cb6145f66823abe","source":{"kind":"arxiv","id":"1106.4798","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4798","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4798v2","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4798","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"UQPXM7SOGR3P","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UQPXM7SOGR3PIEHU","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UQPXM7SO","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UQPXM7SOGR3PIEHUKKEKQTPXJJ","target":"record","payload":{"canonical_record":{"source":{"id":"1106.4798","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-23T19:24:56Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"f438bc93af9c482e230cc5b2732f54d3724fd221d7cc601a15b1141d2df98f92","abstract_canon_sha256":"50c60a2a032cf7175ea643390056157d423c7464c2e72b5a26732a22e1c96518"},"schema_version":"1.0"},"canonical_sha256":"a41f767e4e3476f410f45288a84df74a4cb90201f4cc286e8cb6145f66823abe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:32.218065Z","signature_b64":"lxjY/1L0XTOYPMdJAtoxEBOE6/DZs9F7uzhEpQR5kNodDm5q3/4kDFha+sYpme8tiDAca5lWwPD09DZg1dy2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a41f767e4e3476f410f45288a84df74a4cb90201f4cc286e8cb6145f66823abe","last_reissued_at":"2026-05-18T03:07:32.217581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:32.217581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.4798","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":"2026-05-18T03:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gKzAvseBfa+vWgvn55EjYR3yTByoPvO9ppCiijWWjsLBS/OmLynu+t5rrOBOrZ0xJ8L4Cyfm219hCx8adaWpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:46:34.019556Z"},"content_sha256":"1868d75c8fb38df0fb4e4a5f2c8c8a2f8a90f7131c06a8387465146913d0fc32","schema_version":"1.0","event_id":"sha256:1868d75c8fb38df0fb4e4a5f2c8c8a2f8a90f7131c06a8387465146913d0fc32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UQPXM7SOGR3PIEHUKKEKQTPXJJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The symmetric signature of a Witt space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AT","authors_text":"Greg Friedman, James McClure","submitted_at":"2011-06-23T19:24:56Z","abstract_excerpt":"Witt spaces are pseudomanifolds for which the middle-perversity intersection homology with rational coefficients is self-dual. We give a new construction of the symmetric signature for Witt spaces which is similar in spirit to the construction given by Miscenko for manifolds. Our construction has all of the expected properties, including invariance under stratified homotopy equivalence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4798","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":"2026-05-18T03:07:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b5Dck/cusrGxW6iuPk4lEndamX6uFJhyfwZqKCUDVwfdqIEaotaN12KJ4T44taQQzJVXL6V0Itzq2nv0/UX/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:46:34.019901Z"},"content_sha256":"a42ffd55240e9fa2ac5089ddc004a7209a0f76bf4779047c26769cad0e310869","schema_version":"1.0","event_id":"sha256:a42ffd55240e9fa2ac5089ddc004a7209a0f76bf4779047c26769cad0e310869"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQPXM7SOGR3PIEHUKKEKQTPXJJ/bundle.json","state_url":"https://pith.science/pith/UQPXM7SOGR3PIEHUKKEKQTPXJJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQPXM7SOGR3PIEHUKKEKQTPXJJ/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":"2026-06-27T13:46:34Z","links":{"resolver":"https://pith.science/pith/UQPXM7SOGR3PIEHUKKEKQTPXJJ","bundle":"https://pith.science/pith/UQPXM7SOGR3PIEHUKKEKQTPXJJ/bundle.json","state":"https://pith.science/pith/UQPXM7SOGR3PIEHUKKEKQTPXJJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQPXM7SOGR3PIEHUKKEKQTPXJJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UQPXM7SOGR3PIEHUKKEKQTPXJJ","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":"50c60a2a032cf7175ea643390056157d423c7464c2e72b5a26732a22e1c96518","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-23T19:24:56Z","title_canon_sha256":"f438bc93af9c482e230cc5b2732f54d3724fd221d7cc601a15b1141d2df98f92"},"schema_version":"1.0","source":{"id":"1106.4798","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4798","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4798v2","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4798","created_at":"2026-05-18T03:07:32Z"},{"alias_kind":"pith_short_12","alias_value":"UQPXM7SOGR3P","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UQPXM7SOGR3PIEHU","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UQPXM7SO","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:a42ffd55240e9fa2ac5089ddc004a7209a0f76bf4779047c26769cad0e310869","target":"graph","created_at":"2026-05-18T03:07:32Z","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":"Witt spaces are pseudomanifolds for which the middle-perversity intersection homology with rational coefficients is self-dual. We give a new construction of the symmetric signature for Witt spaces which is similar in spirit to the construction given by Miscenko for manifolds. Our construction has all of the expected properties, including invariance under stratified homotopy equivalence.","authors_text":"Greg Friedman, James McClure","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-23T19:24:56Z","title":"The symmetric signature of a Witt space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4798","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":"sha256:1868d75c8fb38df0fb4e4a5f2c8c8a2f8a90f7131c06a8387465146913d0fc32","target":"record","created_at":"2026-05-18T03:07:32Z","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":"50c60a2a032cf7175ea643390056157d423c7464c2e72b5a26732a22e1c96518","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2011-06-23T19:24:56Z","title_canon_sha256":"f438bc93af9c482e230cc5b2732f54d3724fd221d7cc601a15b1141d2df98f92"},"schema_version":"1.0","source":{"id":"1106.4798","kind":"arxiv","version":2}},"canonical_sha256":"a41f767e4e3476f410f45288a84df74a4cb90201f4cc286e8cb6145f66823abe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a41f767e4e3476f410f45288a84df74a4cb90201f4cc286e8cb6145f66823abe","first_computed_at":"2026-05-18T03:07:32.217581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:32.217581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lxjY/1L0XTOYPMdJAtoxEBOE6/DZs9F7uzhEpQR5kNodDm5q3/4kDFha+sYpme8tiDAca5lWwPD09DZg1dy2CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:32.218065Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4798","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1868d75c8fb38df0fb4e4a5f2c8c8a2f8a90f7131c06a8387465146913d0fc32","sha256:a42ffd55240e9fa2ac5089ddc004a7209a0f76bf4779047c26769cad0e310869"],"state_sha256":"9fdcded74b6283104283e1ab8818a5142c59b84ab2775cd8fdf86cc1a11cd87c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"16XKZF+q1uUFN107ZSUij2n1pizfX4Is87YLAbCLV0NU1Q4zClxknzwk066JbSGK03hndvTvjG9rt6SdhLU+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T13:46:34.021771Z","bundle_sha256":"09ca0b6d52010dda7969264fcba93c9a34c2ab539915190c692dd794a41d8376"}}