{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZYVKB7GP2JH4X4WUVXOUDKMMGM","short_pith_number":"pith:ZYVKB7GP","canonical_record":{"source":{"id":"1301.0164","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-01-02T03:58:25Z","cross_cats_sorted":["math.DG","math.QA"],"title_canon_sha256":"4409e39acb75c0859f15d9599dfc6e1dbfa892a94040b2fea80244fa2c4d8e14","abstract_canon_sha256":"fff0e137b2d253698afecf11fae33d60b9bc85cf9a0e944e77d442a7caf5e8a0"},"schema_version":"1.0"},"canonical_sha256":"ce2aa0fccfd24fcbf2d4addd41a98c3331c4c3b4c4768ccc0887ff606927222c","source":{"kind":"arxiv","id":"1301.0164","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0164","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0164v1","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0164","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZYVKB7GP2JH4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZYVKB7GP2JH4X4WU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZYVKB7GP","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZYVKB7GP2JH4X4WUVXOUDKMMGM","target":"record","payload":{"canonical_record":{"source":{"id":"1301.0164","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-01-02T03:58:25Z","cross_cats_sorted":["math.DG","math.QA"],"title_canon_sha256":"4409e39acb75c0859f15d9599dfc6e1dbfa892a94040b2fea80244fa2c4d8e14","abstract_canon_sha256":"fff0e137b2d253698afecf11fae33d60b9bc85cf9a0e944e77d442a7caf5e8a0"},"schema_version":"1.0"},"canonical_sha256":"ce2aa0fccfd24fcbf2d4addd41a98c3331c4c3b4c4768ccc0887ff606927222c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:17.439088Z","signature_b64":"Tg06jnmz4gGeJNKpcLjcO6B5Nd+8yJo1OgaPRa8BsJdhqtbbkllfyTxazZI16NWmEC5AEGVCWb/Ucl/ZPZZOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce2aa0fccfd24fcbf2d4addd41a98c3331c4c3b4c4768ccc0887ff606927222c","last_reissued_at":"2026-05-18T02:38:17.438481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:17.438481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.0164","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":"2026-05-18T02:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BtLbB//YpVkG7HNCxew2ziXob5hut7k4MnJBo+T1jZzBtgO35Pr+ufYwZfpWHyxKfDGzrOXryIGSt/1vGMovDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:45:22.624741Z"},"content_sha256":"c3201e264783c80f23fee9a3104a725f11bfe47e0b665e88e07fb8c0d348f11e","schema_version":"1.0","event_id":"sha256:c3201e264783c80f23fee9a3104a725f11bfe47e0b665e88e07fb8c0d348f11e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZYVKB7GP2JH4X4WUVXOUDKMMGM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The pillowcase and perturbations of traceless representations of knot groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.QA"],"primary_cat":"math.GT","authors_text":"Chris Herald, Matthew Hedden, Paul Kirk","submitted_at":"2013-01-02T03:58:25Z","abstract_excerpt":"We introduce explicit holonomy perturbations of the Chern-Simons functional on a 3-ball containing a pair of unknotted arcs. These perturbations give us a concrete local method for making the moduli spaces of flat singular SO(3) connections relevant to Kronheimer and Mrowka's singular instanton knot homology non-degenerate. The mechanism for this study is a (Lagrangian) intersection diagram which arises, through restriction of representations, from a tangle decomposition of a knot. When one of the tangles is trivial, our perturbations allow us to study isolated intersections of two Lagrangians"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0164","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":"2026-05-18T02:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K7m48U+GoQY6qFHw3zj3+Q89OS7x0bTud8+AG3YSLZgRORcain99SIGZCtxr+Z9J+636Yv4AH7FOGSkcHmSHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:45:22.625468Z"},"content_sha256":"91297aa470ad3bf715d0dd4691ce928b4b91913e8ec4f7e5bfdc727fb9cdd176","schema_version":"1.0","event_id":"sha256:91297aa470ad3bf715d0dd4691ce928b4b91913e8ec4f7e5bfdc727fb9cdd176"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZYVKB7GP2JH4X4WUVXOUDKMMGM/bundle.json","state_url":"https://pith.science/pith/ZYVKB7GP2JH4X4WUVXOUDKMMGM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZYVKB7GP2JH4X4WUVXOUDKMMGM/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":"2026-05-31T19:45:22Z","links":{"resolver":"https://pith.science/pith/ZYVKB7GP2JH4X4WUVXOUDKMMGM","bundle":"https://pith.science/pith/ZYVKB7GP2JH4X4WUVXOUDKMMGM/bundle.json","state":"https://pith.science/pith/ZYVKB7GP2JH4X4WUVXOUDKMMGM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZYVKB7GP2JH4X4WUVXOUDKMMGM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZYVKB7GP2JH4X4WUVXOUDKMMGM","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":"fff0e137b2d253698afecf11fae33d60b9bc85cf9a0e944e77d442a7caf5e8a0","cross_cats_sorted":["math.DG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-01-02T03:58:25Z","title_canon_sha256":"4409e39acb75c0859f15d9599dfc6e1dbfa892a94040b2fea80244fa2c4d8e14"},"schema_version":"1.0","source":{"id":"1301.0164","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0164","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0164v1","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0164","created_at":"2026-05-18T02:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZYVKB7GP2JH4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZYVKB7GP2JH4X4WU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZYVKB7GP","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:91297aa470ad3bf715d0dd4691ce928b4b91913e8ec4f7e5bfdc727fb9cdd176","target":"graph","created_at":"2026-05-18T02:38:17Z","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 introduce explicit holonomy perturbations of the Chern-Simons functional on a 3-ball containing a pair of unknotted arcs. These perturbations give us a concrete local method for making the moduli spaces of flat singular SO(3) connections relevant to Kronheimer and Mrowka's singular instanton knot homology non-degenerate. The mechanism for this study is a (Lagrangian) intersection diagram which arises, through restriction of representations, from a tangle decomposition of a knot. When one of the tangles is trivial, our perturbations allow us to study isolated intersections of two Lagrangians","authors_text":"Chris Herald, Matthew Hedden, Paul Kirk","cross_cats":["math.DG","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-01-02T03:58:25Z","title":"The pillowcase and perturbations of traceless representations of knot groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0164","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:c3201e264783c80f23fee9a3104a725f11bfe47e0b665e88e07fb8c0d348f11e","target":"record","created_at":"2026-05-18T02:38:17Z","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":"fff0e137b2d253698afecf11fae33d60b9bc85cf9a0e944e77d442a7caf5e8a0","cross_cats_sorted":["math.DG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2013-01-02T03:58:25Z","title_canon_sha256":"4409e39acb75c0859f15d9599dfc6e1dbfa892a94040b2fea80244fa2c4d8e14"},"schema_version":"1.0","source":{"id":"1301.0164","kind":"arxiv","version":1}},"canonical_sha256":"ce2aa0fccfd24fcbf2d4addd41a98c3331c4c3b4c4768ccc0887ff606927222c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce2aa0fccfd24fcbf2d4addd41a98c3331c4c3b4c4768ccc0887ff606927222c","first_computed_at":"2026-05-18T02:38:17.438481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:17.438481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tg06jnmz4gGeJNKpcLjcO6B5Nd+8yJo1OgaPRa8BsJdhqtbbkllfyTxazZI16NWmEC5AEGVCWb/Ucl/ZPZZOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:17.439088Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0164","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3201e264783c80f23fee9a3104a725f11bfe47e0b665e88e07fb8c0d348f11e","sha256:91297aa470ad3bf715d0dd4691ce928b4b91913e8ec4f7e5bfdc727fb9cdd176"],"state_sha256":"e5a51136ac9b5ad9fd3aa59e7968331fbdc959dc047b47639a3509c4e9be76f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7+dmjkiikCLNZvvnTjJVtuprjojv4+CYcAvmwZ9N6Y40szngJ6HAUICuKu/cOx4H4DOUwk6lkqCOTzDPGRZAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:45:22.629078Z","bundle_sha256":"2a19dbcebea6e3ea0a63b7f47d1179adfe44ece281beb3f4e3870a9777636dda"}}