{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:G7CCMAECV33WX62SNIDABHMKFK","short_pith_number":"pith:G7CCMAEC","canonical_record":{"source":{"id":"1407.6989","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-07-25T17:52:41Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"8c89d5ce98c35b69cec5e3258c4bc35fd6f5693be78d5fe50195a89adfcf18cd","abstract_canon_sha256":"395ce5c621fdc1f6dcb700ebf3eb0195ff64e168aa835e6b341142fbcdda4952"},"schema_version":"1.0"},"canonical_sha256":"37c4260082aef76bfb526a06009d8a2a84cd6399c7213d04395b619d28e806de","source":{"kind":"arxiv","id":"1407.6989","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6989","created_at":"2026-05-18T01:12:30Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6989v2","created_at":"2026-05-18T01:12:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6989","created_at":"2026-05-18T01:12:30Z"},{"alias_kind":"pith_short_12","alias_value":"G7CCMAECV33W","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G7CCMAECV33WX62S","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G7CCMAEC","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:G7CCMAECV33WX62SNIDABHMKFK","target":"record","payload":{"canonical_record":{"source":{"id":"1407.6989","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-07-25T17:52:41Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"8c89d5ce98c35b69cec5e3258c4bc35fd6f5693be78d5fe50195a89adfcf18cd","abstract_canon_sha256":"395ce5c621fdc1f6dcb700ebf3eb0195ff64e168aa835e6b341142fbcdda4952"},"schema_version":"1.0"},"canonical_sha256":"37c4260082aef76bfb526a06009d8a2a84cd6399c7213d04395b619d28e806de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:30.970902Z","signature_b64":"iVNAxLvFnpauYivNSmtpASc0dRRrNDHUR2yiSXEGU1n5Bqya6H0s/zhYdv5+4IECLg7qOJdGgCW3pB2poE4nBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37c4260082aef76bfb526a06009d8a2a84cd6399c7213d04395b619d28e806de","last_reissued_at":"2026-05-18T01:12:30.970557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:30.970557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.6989","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":"2026-05-18T01:12:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GSywZGgOA2lliy59bKEhHpSHoKgKujL6t9AJ8o0bip2niBiuTWAS9zr+AybI23cSTXJqpH+aDDKhQ4lFaP6UAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:27:37.600754Z"},"content_sha256":"7d96d16af012cb9fe69be57638cb68b7fdc802016275d8b84c8eced8f8185070","schema_version":"1.0","event_id":"sha256:7d96d16af012cb9fe69be57638cb68b7fdc802016275d8b84c8eced8f8185070"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:G7CCMAECV33WX62SNIDABHMKFK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Similarity of Random Cell Complexes and Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cs.CG","authors_text":"Benjamin Schweinhart, Jeremy Mason, Robert MacPherson","submitted_at":"2014-07-25T17:52:41Z","abstract_excerpt":"Although random cell complexes occur throughout the physical sciences, there does not appear to be a standard way to quantify their statistical similarities and differences. The various proposals in the literature are usually motivated by the analysis of particular physical systems and do not necessarily apply to general situations. The central concepts in this paper---the swatch and the cloth---provide a description of the local topology of a cell complex that is general (any physical system that may be represented as a cell complex is admissible) and complete (any statistical question about "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6989","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":"2026-05-18T01:12:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vodLFDfKmD22Ru+vgnwMvFHMfsQMyRC0YXzCnWdYlo/s4DQCwgVXZx+NJu/llgkqap6sMoKLylAhmxzXrd6AAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:27:37.601409Z"},"content_sha256":"18cb4395898ad2280670a94269a839616a7aa3e5aaed2842e29222bc7987e497","schema_version":"1.0","event_id":"sha256:18cb4395898ad2280670a94269a839616a7aa3e5aaed2842e29222bc7987e497"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G7CCMAECV33WX62SNIDABHMKFK/bundle.json","state_url":"https://pith.science/pith/G7CCMAECV33WX62SNIDABHMKFK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G7CCMAECV33WX62SNIDABHMKFK/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":"2026-06-05T21:27:37Z","links":{"resolver":"https://pith.science/pith/G7CCMAECV33WX62SNIDABHMKFK","bundle":"https://pith.science/pith/G7CCMAECV33WX62SNIDABHMKFK/bundle.json","state":"https://pith.science/pith/G7CCMAECV33WX62SNIDABHMKFK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G7CCMAECV33WX62SNIDABHMKFK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:G7CCMAECV33WX62SNIDABHMKFK","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":"395ce5c621fdc1f6dcb700ebf3eb0195ff64e168aa835e6b341142fbcdda4952","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-07-25T17:52:41Z","title_canon_sha256":"8c89d5ce98c35b69cec5e3258c4bc35fd6f5693be78d5fe50195a89adfcf18cd"},"schema_version":"1.0","source":{"id":"1407.6989","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6989","created_at":"2026-05-18T01:12:30Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6989v2","created_at":"2026-05-18T01:12:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6989","created_at":"2026-05-18T01:12:30Z"},{"alias_kind":"pith_short_12","alias_value":"G7CCMAECV33W","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G7CCMAECV33WX62S","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G7CCMAEC","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:18cb4395898ad2280670a94269a839616a7aa3e5aaed2842e29222bc7987e497","target":"graph","created_at":"2026-05-18T01:12:30Z","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":"Although random cell complexes occur throughout the physical sciences, there does not appear to be a standard way to quantify their statistical similarities and differences. The various proposals in the literature are usually motivated by the analysis of particular physical systems and do not necessarily apply to general situations. The central concepts in this paper---the swatch and the cloth---provide a description of the local topology of a cell complex that is general (any physical system that may be represented as a cell complex is admissible) and complete (any statistical question about ","authors_text":"Benjamin Schweinhart, Jeremy Mason, Robert MacPherson","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-07-25T17:52:41Z","title":"Topological Similarity of Random Cell Complexes and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6989","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":"sha256:7d96d16af012cb9fe69be57638cb68b7fdc802016275d8b84c8eced8f8185070","target":"record","created_at":"2026-05-18T01:12:30Z","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":"395ce5c621fdc1f6dcb700ebf3eb0195ff64e168aa835e6b341142fbcdda4952","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-07-25T17:52:41Z","title_canon_sha256":"8c89d5ce98c35b69cec5e3258c4bc35fd6f5693be78d5fe50195a89adfcf18cd"},"schema_version":"1.0","source":{"id":"1407.6989","kind":"arxiv","version":2}},"canonical_sha256":"37c4260082aef76bfb526a06009d8a2a84cd6399c7213d04395b619d28e806de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37c4260082aef76bfb526a06009d8a2a84cd6399c7213d04395b619d28e806de","first_computed_at":"2026-05-18T01:12:30.970557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:30.970557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iVNAxLvFnpauYivNSmtpASc0dRRrNDHUR2yiSXEGU1n5Bqya6H0s/zhYdv5+4IECLg7qOJdGgCW3pB2poE4nBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:30.970902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.6989","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d96d16af012cb9fe69be57638cb68b7fdc802016275d8b84c8eced8f8185070","sha256:18cb4395898ad2280670a94269a839616a7aa3e5aaed2842e29222bc7987e497"],"state_sha256":"72518abc01e9a311ecfc998e54cf0f1896109c8243637c4f70d55c42ddb7ba92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yrARbV2dT/0aIiisTNrVSIKjt0Rci3YwBpntz758XefdiKSWpNcSd7d7RM7WGrXwGhCX/x3mEXxhNRkwtalJBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:27:37.605088Z","bundle_sha256":"097f6c4698fd3bc29fecd8ec9e304369d093a45d28efff6fe0e620cb6be0361e"}}