{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:235BOLQZ4C2OBNBBYLDABLANDE","short_pith_number":"pith:235BOLQZ","canonical_record":{"source":{"id":"1502.07445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-02-26T06:10:45Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"0d32f9855d10dbd9953ac459fb65d9d93eec0b5dc900043a2b4176c681c0956b","abstract_canon_sha256":"33ecea5a5190ef5f109cbf7733d1f0807420cbad387ca3b392cd5656c6331178"},"schema_version":"1.0"},"canonical_sha256":"d6fa172e19e0b4e0b421c2c600ac0d191bbd8705e68cdfe9702228181d719df4","source":{"kind":"arxiv","id":"1502.07445","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07445","created_at":"2026-05-18T02:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07445v1","created_at":"2026-05-18T02:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07445","created_at":"2026-05-18T02:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"235BOLQZ4C2O","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"235BOLQZ4C2OBNBB","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"235BOLQZ","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:235BOLQZ4C2OBNBBYLDABLANDE","target":"record","payload":{"canonical_record":{"source":{"id":"1502.07445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-02-26T06:10:45Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"0d32f9855d10dbd9953ac459fb65d9d93eec0b5dc900043a2b4176c681c0956b","abstract_canon_sha256":"33ecea5a5190ef5f109cbf7733d1f0807420cbad387ca3b392cd5656c6331178"},"schema_version":"1.0"},"canonical_sha256":"d6fa172e19e0b4e0b421c2c600ac0d191bbd8705e68cdfe9702228181d719df4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:09.757048Z","signature_b64":"JOQqV/3iXw8ptBXcZlcxGvppc/C/OeuqYKCzXMh2VyCqF5g4keFt18wSd0FKSM5K7Q6H2B5fMmDVgdc3ZLAnBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6fa172e19e0b4e0b421c2c600ac0d191bbd8705e68cdfe9702228181d719df4","last_reissued_at":"2026-05-18T02:26:09.756462Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:09.756462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.07445","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":"2026-05-18T02:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F0Ggxc/QdFXN9nH5Vp9xFEqLWb9kCEOJKzu9IUoqFxH8tg4EKRMSGnOS+mdzqiEBDJcbf/1ol0D1DzF9M+4qCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:48:26.529309Z"},"content_sha256":"a59c5d498c43ddf9cd32b3ae753a500e06cefcf493d5a03815b794daffb5ce9b","schema_version":"1.0","event_id":"sha256:a59c5d498c43ddf9cd32b3ae753a500e06cefcf493d5a03815b794daffb5ce9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:235BOLQZ4C2OBNBBYLDABLANDE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.soft","authors_text":"Akihiko Hirata, Emerson G. Escolar, Takenobu Nakamura, Yasuaki Hiraoka, Yasumasa Nishiura","submitted_at":"2015-02-26T06:10:45Z","abstract_excerpt":"Characterization of medium-range order in amorphous materials and its relation to short-range order is discussed. A new topological approach is presented here to extract a hierarchical structure of amorphous materials, which is robust against small perturbations and allows us to distinguish it from periodic or random configurations. The method is called the persistence diagram (PD) and it introduces scales into many-body atomic structures in order to characterize the size and shape. We first illustrate how perfect crystalline and random structures are represented in the PDs. Then, the medium-r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07445","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":"2026-05-18T02:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a9/sdPuHWtW5k2w6KKDbghkH5F6FR5n3IrokKzn/OB7dtSPy7imnXNVY2U1FvVgkgAYDug0u2Xf/0jiXZb76Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:48:26.530042Z"},"content_sha256":"6ed9000eb94f11660c1839b077fc9eb473685f62eae1e5501290508d11625d00","schema_version":"1.0","event_id":"sha256:6ed9000eb94f11660c1839b077fc9eb473685f62eae1e5501290508d11625d00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/235BOLQZ4C2OBNBBYLDABLANDE/bundle.json","state_url":"https://pith.science/pith/235BOLQZ4C2OBNBBYLDABLANDE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/235BOLQZ4C2OBNBBYLDABLANDE/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":"2026-06-12T06:48:26Z","links":{"resolver":"https://pith.science/pith/235BOLQZ4C2OBNBBYLDABLANDE","bundle":"https://pith.science/pith/235BOLQZ4C2OBNBBYLDABLANDE/bundle.json","state":"https://pith.science/pith/235BOLQZ4C2OBNBBYLDABLANDE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/235BOLQZ4C2OBNBBYLDABLANDE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:235BOLQZ4C2OBNBBYLDABLANDE","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":"33ecea5a5190ef5f109cbf7733d1f0807420cbad387ca3b392cd5656c6331178","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-02-26T06:10:45Z","title_canon_sha256":"0d32f9855d10dbd9953ac459fb65d9d93eec0b5dc900043a2b4176c681c0956b"},"schema_version":"1.0","source":{"id":"1502.07445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07445","created_at":"2026-05-18T02:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07445v1","created_at":"2026-05-18T02:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07445","created_at":"2026-05-18T02:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"235BOLQZ4C2O","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"235BOLQZ4C2OBNBB","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"235BOLQZ","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:6ed9000eb94f11660c1839b077fc9eb473685f62eae1e5501290508d11625d00","target":"graph","created_at":"2026-05-18T02:26:09Z","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":"Characterization of medium-range order in amorphous materials and its relation to short-range order is discussed. A new topological approach is presented here to extract a hierarchical structure of amorphous materials, which is robust against small perturbations and allows us to distinguish it from periodic or random configurations. The method is called the persistence diagram (PD) and it introduces scales into many-body atomic structures in order to characterize the size and shape. We first illustrate how perfect crystalline and random structures are represented in the PDs. Then, the medium-r","authors_text":"Akihiko Hirata, Emerson G. Escolar, Takenobu Nakamura, Yasuaki Hiraoka, Yasumasa Nishiura","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-02-26T06:10:45Z","title":"Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07445","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:a59c5d498c43ddf9cd32b3ae753a500e06cefcf493d5a03815b794daffb5ce9b","target":"record","created_at":"2026-05-18T02:26:09Z","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":"33ecea5a5190ef5f109cbf7733d1f0807420cbad387ca3b392cd5656c6331178","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-02-26T06:10:45Z","title_canon_sha256":"0d32f9855d10dbd9953ac459fb65d9d93eec0b5dc900043a2b4176c681c0956b"},"schema_version":"1.0","source":{"id":"1502.07445","kind":"arxiv","version":1}},"canonical_sha256":"d6fa172e19e0b4e0b421c2c600ac0d191bbd8705e68cdfe9702228181d719df4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6fa172e19e0b4e0b421c2c600ac0d191bbd8705e68cdfe9702228181d719df4","first_computed_at":"2026-05-18T02:26:09.756462Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:09.756462Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JOQqV/3iXw8ptBXcZlcxGvppc/C/OeuqYKCzXMh2VyCqF5g4keFt18wSd0FKSM5K7Q6H2B5fMmDVgdc3ZLAnBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:09.757048Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a59c5d498c43ddf9cd32b3ae753a500e06cefcf493d5a03815b794daffb5ce9b","sha256:6ed9000eb94f11660c1839b077fc9eb473685f62eae1e5501290508d11625d00"],"state_sha256":"aed5ba29cc64095f09392dfcca078b01603584303d0f9b49adffc60459e17f1a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3oIlb9rCMJcq5wj8hkcKAY3DzLpvf4x7xXWVVms6X+EmBG8aVXnMgGc7bdwfM8Rj8Z4pAX8j68H2owrHRzhBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T06:48:26.534058Z","bundle_sha256":"faa6873dbc7b59567c5ba3ae8ce730e894e87456161867d7f39c3f1701cbb072"}}