{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:C7ZWGCYCKCAE4GMGYG6FI66554","short_pith_number":"pith:C7ZWGCYC","canonical_record":{"source":{"id":"1510.03636","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-13T11:37:15Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"dc57513f2c7c2d63df293c8f68f744a8f7323c0edc50dcf6ce668bacb0742af6","abstract_canon_sha256":"c6f48e2ed2c79ed3500c9297388988cc138d63ff6f6608b8c803e5b370f2f106"},"schema_version":"1.0"},"canonical_sha256":"17f3630b0250804e1986c1bc547bddef25ee0fc9536bac177a6e63719c01aa25","source":{"kind":"arxiv","id":"1510.03636","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03636","created_at":"2026-05-18T01:16:48Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03636v3","created_at":"2026-05-18T01:16:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03636","created_at":"2026-05-18T01:16:48Z"},{"alias_kind":"pith_short_12","alias_value":"C7ZWGCYCKCAE","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C7ZWGCYCKCAE4GMG","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C7ZWGCYC","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:C7ZWGCYCKCAE4GMGYG6FI66554","target":"record","payload":{"canonical_record":{"source":{"id":"1510.03636","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-13T11:37:15Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"dc57513f2c7c2d63df293c8f68f744a8f7323c0edc50dcf6ce668bacb0742af6","abstract_canon_sha256":"c6f48e2ed2c79ed3500c9297388988cc138d63ff6f6608b8c803e5b370f2f106"},"schema_version":"1.0"},"canonical_sha256":"17f3630b0250804e1986c1bc547bddef25ee0fc9536bac177a6e63719c01aa25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:48.094366Z","signature_b64":"P0x611uksw+j2Vzn62bszDMglUV7ZxUemigaGSrbaWiTFxZgztgAQ2gFkprSbGzJKrFd6RnW49gQMPhSBl/MAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17f3630b0250804e1986c1bc547bddef25ee0fc9536bac177a6e63719c01aa25","last_reissued_at":"2026-05-18T01:16:48.093780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:48.093780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.03636","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yq5ppHtDWgFCUKMQsf7X7/0bo37S1iViKVCZi6NNHsI8y8cqtK9ca/lle1dW3zULC8tSbzMXmW+L5Oa/LzPiDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:06:59.626663Z"},"content_sha256":"33fca1f176618a047750d6594eec15f3a5ef30acb2d79e042aa7968dc0d25717","schema_version":"1.0","event_id":"sha256:33fca1f176618a047750d6594eec15f3a5ef30acb2d79e042aa7968dc0d25717"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:C7ZWGCYCKCAE4GMGYG6FI66554","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximal Density, Kinetics of Deposition and Percolation Threshold of Loose Packed Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.stat-mech","authors_text":"Isak Avramov, Vesselin Tonchev","submitted_at":"2015-10-13T11:37:15Z","abstract_excerpt":"In many areas of research it is interesting how lattices can be filled with particles that have no nearest neighbors, or they are in limited quantities. Examples may be found in statistical physics, chemistry, materials science, discrete mathematics, etc. Using Monte Carlo (MC) simulation we study the kinetics of filling of square lattice (2D). Two complementary rules are used to fill the lattice. We study their influence on the kinetics of the process as well as on the properties of the obtained systems. According to the first rule the occupied sites may not share edges (nearest neighbors occ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03636","kind":"arxiv","version":3},"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":"2026-05-18T01:16:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"snJguxdQxFe4k2wObbtswnyh67LotHh2r8THEijQYEDvEQIJf/hM7U+e6giQwiivRBSs5iFVkbu7tEjl/L7xCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T13:06:59.627006Z"},"content_sha256":"13e7154b68694bbf534426df23b5b4b29b1ff3e5e2aeee8dc301897ac24adbf0","schema_version":"1.0","event_id":"sha256:13e7154b68694bbf534426df23b5b4b29b1ff3e5e2aeee8dc301897ac24adbf0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C7ZWGCYCKCAE4GMGYG6FI66554/bundle.json","state_url":"https://pith.science/pith/C7ZWGCYCKCAE4GMGYG6FI66554/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C7ZWGCYCKCAE4GMGYG6FI66554/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":"2026-06-08T13:06:59Z","links":{"resolver":"https://pith.science/pith/C7ZWGCYCKCAE4GMGYG6FI66554","bundle":"https://pith.science/pith/C7ZWGCYCKCAE4GMGYG6FI66554/bundle.json","state":"https://pith.science/pith/C7ZWGCYCKCAE4GMGYG6FI66554/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C7ZWGCYCKCAE4GMGYG6FI66554/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:C7ZWGCYCKCAE4GMGYG6FI66554","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":"c6f48e2ed2c79ed3500c9297388988cc138d63ff6f6608b8c803e5b370f2f106","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-13T11:37:15Z","title_canon_sha256":"dc57513f2c7c2d63df293c8f68f744a8f7323c0edc50dcf6ce668bacb0742af6"},"schema_version":"1.0","source":{"id":"1510.03636","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03636","created_at":"2026-05-18T01:16:48Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03636v3","created_at":"2026-05-18T01:16:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03636","created_at":"2026-05-18T01:16:48Z"},{"alias_kind":"pith_short_12","alias_value":"C7ZWGCYCKCAE","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C7ZWGCYCKCAE4GMG","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C7ZWGCYC","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:13e7154b68694bbf534426df23b5b4b29b1ff3e5e2aeee8dc301897ac24adbf0","target":"graph","created_at":"2026-05-18T01:16:48Z","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 many areas of research it is interesting how lattices can be filled with particles that have no nearest neighbors, or they are in limited quantities. Examples may be found in statistical physics, chemistry, materials science, discrete mathematics, etc. Using Monte Carlo (MC) simulation we study the kinetics of filling of square lattice (2D). Two complementary rules are used to fill the lattice. We study their influence on the kinetics of the process as well as on the properties of the obtained systems. According to the first rule the occupied sites may not share edges (nearest neighbors occ","authors_text":"Isak Avramov, Vesselin Tonchev","cross_cats":["cond-mat.mtrl-sci"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-13T11:37:15Z","title":"Maximal Density, Kinetics of Deposition and Percolation Threshold of Loose Packed Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03636","kind":"arxiv","version":3},"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":"sha256:33fca1f176618a047750d6594eec15f3a5ef30acb2d79e042aa7968dc0d25717","target":"record","created_at":"2026-05-18T01:16:48Z","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":"c6f48e2ed2c79ed3500c9297388988cc138d63ff6f6608b8c803e5b370f2f106","cross_cats_sorted":["cond-mat.mtrl-sci"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-13T11:37:15Z","title_canon_sha256":"dc57513f2c7c2d63df293c8f68f744a8f7323c0edc50dcf6ce668bacb0742af6"},"schema_version":"1.0","source":{"id":"1510.03636","kind":"arxiv","version":3}},"canonical_sha256":"17f3630b0250804e1986c1bc547bddef25ee0fc9536bac177a6e63719c01aa25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17f3630b0250804e1986c1bc547bddef25ee0fc9536bac177a6e63719c01aa25","first_computed_at":"2026-05-18T01:16:48.093780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:48.093780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P0x611uksw+j2Vzn62bszDMglUV7ZxUemigaGSrbaWiTFxZgztgAQ2gFkprSbGzJKrFd6RnW49gQMPhSBl/MAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:48.094366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03636","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33fca1f176618a047750d6594eec15f3a5ef30acb2d79e042aa7968dc0d25717","sha256:13e7154b68694bbf534426df23b5b4b29b1ff3e5e2aeee8dc301897ac24adbf0"],"state_sha256":"27ff44d0770e9b96d353474ad2d946ce726845a4470b20059fe5524274e53272"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xzJhLq+wQmWz7ht1Fz1Y72/mYJT7BSSJJN7ztZyZK7LDaAK1Yp/ft7VfOfCrSPr3TLmf8vDLy5QZCVvob45dDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T13:06:59.629402Z","bundle_sha256":"6b923eac668d124c3350977c52360a282c770814f22526c58ac52288bf499c7b"}}