{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NF6C52NY3F67XPCZXGV2ZGEH52","short_pith_number":"pith:NF6C52NY","canonical_record":{"source":{"id":"1307.4611","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-17T13:18:57Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"4a8e6e0e1eb374a1e304be65475f1909ce17231a4ec66003f41d723bb0ec347b","abstract_canon_sha256":"799585646e020d6effb4c9bb2a2512e752e97ee1608400b8ffaa17579e971d56"},"schema_version":"1.0"},"canonical_sha256":"697c2ee9b8d97dfbbc59b9abac9887ee8ee3016dab4f0cb4ed341b737c1b2029","source":{"kind":"arxiv","id":"1307.4611","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4611","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4611v2","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4611","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"NF6C52NY3F67","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NF6C52NY3F67XPCZ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NF6C52NY","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NF6C52NY3F67XPCZXGV2ZGEH52","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4611","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-17T13:18:57Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"4a8e6e0e1eb374a1e304be65475f1909ce17231a4ec66003f41d723bb0ec347b","abstract_canon_sha256":"799585646e020d6effb4c9bb2a2512e752e97ee1608400b8ffaa17579e971d56"},"schema_version":"1.0"},"canonical_sha256":"697c2ee9b8d97dfbbc59b9abac9887ee8ee3016dab4f0cb4ed341b737c1b2029","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:36.176064Z","signature_b64":"1XOUf/zg9EI2P0ATkbPVqMLP2Vx0mzuVg8hjI7rI2HbPpuDMIiBfPnmm818j1pc+zVVcQRxuDicFy+EX/mkrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"697c2ee9b8d97dfbbc59b9abac9887ee8ee3016dab4f0cb4ed341b737c1b2029","last_reissued_at":"2026-05-18T00:35:36.175425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:36.175425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4611","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":"2026-05-18T00:35:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijXVy5GplTO0YfZAxyHLp3ElseqEm9XHjroYhIXjtf07BHDzD6cZ0O3czvppRyx5YeloZn0kaH4E1gmPI9HUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:44:24.642878Z"},"content_sha256":"9bdfbdec1455d957a73b841e43645147331c927fa95b21bf7837dd51a8403ae9","schema_version":"1.0","event_id":"sha256:9bdfbdec1455d957a73b841e43645147331c927fa95b21bf7837dd51a8403ae9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NF6C52NY3F67XPCZXGV2ZGEH52","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological characterization of crystalline ice structures from coordination sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"physics.chem-ph","authors_text":"Carlos P. Herrero, Rafael Ramirez","submitted_at":"2013-07-17T13:18:57Z","abstract_excerpt":"Topological properties of crystalline ice structures are studied by considering ring statistics, coordination sequences, and topological density of different ice phases. The coordination sequences (number of sites at topological distance k from a reference site) have been obtained by direct enumeration until at least 40 coordination spheres for different ice polymorphs. This allows us to study the asymptotic behavior of the mean number of sites in the k-th shell, M_k, for high values of k: M_k ~ a k^2, a being a structure-dependent parameter. Small departures from a strict parabolic dependence"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4611","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":"2026-05-18T00:35:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OK/ElFeFoJ3zKlq3DFuhhDaZDmkkekukAtlvjlTREJbcPlmgcGm419KQq2UqJY5wU1ugEIdCWOPixpMnhiekAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:44:24.643537Z"},"content_sha256":"57d645de1423f098646e96613ca85f6c2f569025fc449235164628b4b18e50e1","schema_version":"1.0","event_id":"sha256:57d645de1423f098646e96613ca85f6c2f569025fc449235164628b4b18e50e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NF6C52NY3F67XPCZXGV2ZGEH52/bundle.json","state_url":"https://pith.science/pith/NF6C52NY3F67XPCZXGV2ZGEH52/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NF6C52NY3F67XPCZXGV2ZGEH52/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":"2026-05-27T20:44:24Z","links":{"resolver":"https://pith.science/pith/NF6C52NY3F67XPCZXGV2ZGEH52","bundle":"https://pith.science/pith/NF6C52NY3F67XPCZXGV2ZGEH52/bundle.json","state":"https://pith.science/pith/NF6C52NY3F67XPCZXGV2ZGEH52/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NF6C52NY3F67XPCZXGV2ZGEH52/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NF6C52NY3F67XPCZXGV2ZGEH52","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":"799585646e020d6effb4c9bb2a2512e752e97ee1608400b8ffaa17579e971d56","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-17T13:18:57Z","title_canon_sha256":"4a8e6e0e1eb374a1e304be65475f1909ce17231a4ec66003f41d723bb0ec347b"},"schema_version":"1.0","source":{"id":"1307.4611","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4611","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4611v2","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4611","created_at":"2026-05-18T00:35:36Z"},{"alias_kind":"pith_short_12","alias_value":"NF6C52NY3F67","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NF6C52NY3F67XPCZ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NF6C52NY","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:57d645de1423f098646e96613ca85f6c2f569025fc449235164628b4b18e50e1","target":"graph","created_at":"2026-05-18T00:35:36Z","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":"Topological properties of crystalline ice structures are studied by considering ring statistics, coordination sequences, and topological density of different ice phases. The coordination sequences (number of sites at topological distance k from a reference site) have been obtained by direct enumeration until at least 40 coordination spheres for different ice polymorphs. This allows us to study the asymptotic behavior of the mean number of sites in the k-th shell, M_k, for high values of k: M_k ~ a k^2, a being a structure-dependent parameter. Small departures from a strict parabolic dependence","authors_text":"Carlos P. Herrero, Rafael Ramirez","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-17T13:18:57Z","title":"Topological characterization of crystalline ice structures from coordination sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4611","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":"sha256:9bdfbdec1455d957a73b841e43645147331c927fa95b21bf7837dd51a8403ae9","target":"record","created_at":"2026-05-18T00:35:36Z","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":"799585646e020d6effb4c9bb2a2512e752e97ee1608400b8ffaa17579e971d56","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-07-17T13:18:57Z","title_canon_sha256":"4a8e6e0e1eb374a1e304be65475f1909ce17231a4ec66003f41d723bb0ec347b"},"schema_version":"1.0","source":{"id":"1307.4611","kind":"arxiv","version":2}},"canonical_sha256":"697c2ee9b8d97dfbbc59b9abac9887ee8ee3016dab4f0cb4ed341b737c1b2029","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"697c2ee9b8d97dfbbc59b9abac9887ee8ee3016dab4f0cb4ed341b737c1b2029","first_computed_at":"2026-05-18T00:35:36.175425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:36.175425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1XOUf/zg9EI2P0ATkbPVqMLP2Vx0mzuVg8hjI7rI2HbPpuDMIiBfPnmm818j1pc+zVVcQRxuDicFy+EX/mkrAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:36.176064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4611","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bdfbdec1455d957a73b841e43645147331c927fa95b21bf7837dd51a8403ae9","sha256:57d645de1423f098646e96613ca85f6c2f569025fc449235164628b4b18e50e1"],"state_sha256":"f5d6be0e5b3b4d3634c0a008aa54b520a8dab706cf468649063f6ee5d9ec3349"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VMPw9V2L88bqMf8tw6NEX+IFWb1y3ulPRvEBv+hwzfVl8tmD0ZKlA6zAWEa+hhWGZzEfuKa/DeqIqLERENjMCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:44:24.646652Z","bundle_sha256":"1c47e9a1ca7a090d5fefac3045511882d4a85db1fa4b2a43e08fbd602d648225"}}