{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OXWYWYMVEWOVKD6FOO5JG4SY4B","short_pith_number":"pith:OXWYWYMV","canonical_record":{"source":{"id":"1712.08159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-12-21T18:55:42Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a17e81b7591a864494055e1315eb0815e922bb689a0cb2435373e98eb10e9081","abstract_canon_sha256":"95f6da186812c23174b9dfdecd215e830f6da6a42064dd9d2f1b6daff278f264"},"schema_version":"1.0"},"canonical_sha256":"75ed8b6195259d550fc573ba937258e06f29c3049472dc7e4f083d0343b200e3","source":{"kind":"arxiv","id":"1712.08159","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.08159","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"arxiv_version","alias_value":"1712.08159v1","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08159","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"pith_short_12","alias_value":"OXWYWYMVEWOV","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OXWYWYMVEWOVKD6F","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OXWYWYMV","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OXWYWYMVEWOVKD6FOO5JG4SY4B","target":"record","payload":{"canonical_record":{"source":{"id":"1712.08159","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-12-21T18:55:42Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a17e81b7591a864494055e1315eb0815e922bb689a0cb2435373e98eb10e9081","abstract_canon_sha256":"95f6da186812c23174b9dfdecd215e830f6da6a42064dd9d2f1b6daff278f264"},"schema_version":"1.0"},"canonical_sha256":"75ed8b6195259d550fc573ba937258e06f29c3049472dc7e4f083d0343b200e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:05.007570Z","signature_b64":"3S++aMMPxrWk+774hRJQP4DJcF9nCBkBDSYvFFMl/lzain2cxkju7Alx1fY2iwJmxFaXO3RoS7hxuKoFAcf7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75ed8b6195259d550fc573ba937258e06f29c3049472dc7e4f083d0343b200e3","last_reissued_at":"2026-05-18T00:20:05.006959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:05.006959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.08159","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":"2026-05-18T00:20:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oj1/RLLggu9hzIZbC/zuHtsxXkIZfcxqZiNDCO9imCUQyJlSy4sLF6tKBr2CmgJNFmxJIIKtaokFTM9YKeohAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:27:13.989246Z"},"content_sha256":"5a5e4a22140c9f944ea73efc128d8cf80443fbc373be2278f456bba22ce2e38e","schema_version":"1.0","event_id":"sha256:5a5e4a22140c9f944ea73efc128d8cf80443fbc373be2278f456bba22ce2e38e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OXWYWYMVEWOVKD6FOO5JG4SY4B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Persistent Homology and Non-Gaussianity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Alex Cole, Gary Shiu","submitted_at":"2017-12-21T18:55:42Z","abstract_excerpt":"In this paper, we introduce the topological persistence diagram as a statistic for Cosmic Microwave Background (CMB) temperature anisotropy maps. A central concept in `Topological Data Analysis' (TDA), the idea of persistence is to represent a data set by a family of topological spaces. One then examines how long topological features `persist' as the family of spaces is traversed. We compute persistence diagrams for simulated CMB temperature anisotropy maps featuring various levels of primordial non-Gaussianity of local type. Postponing the analysis of observational effects, we show that persi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08159","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":"2026-05-18T00:20:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HN6X0BPa2yQVLDmB7O0dzLTkWDrx3OZsGm2v5DCZE5lFgHx42B3xoW1qQoZy1KwYnhEAGONQlT6C8GJqbtomBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:27:13.989951Z"},"content_sha256":"828b9cebb33877b44382e2fd41d8b96ce1246fb6c28ee704520f040e5b2f0aa4","schema_version":"1.0","event_id":"sha256:828b9cebb33877b44382e2fd41d8b96ce1246fb6c28ee704520f040e5b2f0aa4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OXWYWYMVEWOVKD6FOO5JG4SY4B/bundle.json","state_url":"https://pith.science/pith/OXWYWYMVEWOVKD6FOO5JG4SY4B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OXWYWYMVEWOVKD6FOO5JG4SY4B/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":"2026-06-05T20:27:13Z","links":{"resolver":"https://pith.science/pith/OXWYWYMVEWOVKD6FOO5JG4SY4B","bundle":"https://pith.science/pith/OXWYWYMVEWOVKD6FOO5JG4SY4B/bundle.json","state":"https://pith.science/pith/OXWYWYMVEWOVKD6FOO5JG4SY4B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OXWYWYMVEWOVKD6FOO5JG4SY4B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OXWYWYMVEWOVKD6FOO5JG4SY4B","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":"95f6da186812c23174b9dfdecd215e830f6da6a42064dd9d2f1b6daff278f264","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-12-21T18:55:42Z","title_canon_sha256":"a17e81b7591a864494055e1315eb0815e922bb689a0cb2435373e98eb10e9081"},"schema_version":"1.0","source":{"id":"1712.08159","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.08159","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"arxiv_version","alias_value":"1712.08159v1","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08159","created_at":"2026-05-18T00:20:05Z"},{"alias_kind":"pith_short_12","alias_value":"OXWYWYMVEWOV","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OXWYWYMVEWOVKD6F","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OXWYWYMV","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:828b9cebb33877b44382e2fd41d8b96ce1246fb6c28ee704520f040e5b2f0aa4","target":"graph","created_at":"2026-05-18T00:20:05Z","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":"In this paper, we introduce the topological persistence diagram as a statistic for Cosmic Microwave Background (CMB) temperature anisotropy maps. A central concept in `Topological Data Analysis' (TDA), the idea of persistence is to represent a data set by a family of topological spaces. One then examines how long topological features `persist' as the family of spaces is traversed. We compute persistence diagrams for simulated CMB temperature anisotropy maps featuring various levels of primordial non-Gaussianity of local type. Postponing the analysis of observational effects, we show that persi","authors_text":"Alex Cole, Gary Shiu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-12-21T18:55:42Z","title":"Persistent Homology and Non-Gaussianity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08159","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":"sha256:5a5e4a22140c9f944ea73efc128d8cf80443fbc373be2278f456bba22ce2e38e","target":"record","created_at":"2026-05-18T00:20:05Z","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":"95f6da186812c23174b9dfdecd215e830f6da6a42064dd9d2f1b6daff278f264","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2017-12-21T18:55:42Z","title_canon_sha256":"a17e81b7591a864494055e1315eb0815e922bb689a0cb2435373e98eb10e9081"},"schema_version":"1.0","source":{"id":"1712.08159","kind":"arxiv","version":1}},"canonical_sha256":"75ed8b6195259d550fc573ba937258e06f29c3049472dc7e4f083d0343b200e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75ed8b6195259d550fc573ba937258e06f29c3049472dc7e4f083d0343b200e3","first_computed_at":"2026-05-18T00:20:05.006959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:05.006959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3S++aMMPxrWk+774hRJQP4DJcF9nCBkBDSYvFFMl/lzain2cxkju7Alx1fY2iwJmxFaXO3RoS7hxuKoFAcf7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:05.007570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.08159","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a5e4a22140c9f944ea73efc128d8cf80443fbc373be2278f456bba22ce2e38e","sha256:828b9cebb33877b44382e2fd41d8b96ce1246fb6c28ee704520f040e5b2f0aa4"],"state_sha256":"94ab6786bc768ee72fabe16fafe75ffc241a4cb949517746e1da5c58a79809c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tcuQAUpJmBQNEJMzgEHIYYtbItg+MyFwV9kEGMcIqrg6iWK74BChZBMqcW3dEosCQOqcvvfbmXDLoguGXYl7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:27:13.994887Z","bundle_sha256":"4aa61bf5eefed377611e64c06447b2bc2d75b18c0eeea0ec567132d450d7e6b7"}}