{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WSJG52GWRM24RKEVBIVOVWIUY7","short_pith_number":"pith:WSJG52GW","canonical_record":{"source":{"id":"1306.4720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-19T23:48:59Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"f1819236a65d7156b8c1ee2c8ddc1670e274b97cc8f7cfc53f212ccc1486d2f6","abstract_canon_sha256":"05eec818c9fc63f7af39647dff16b0bd515585c846340d7715a87def6d38c52b"},"schema_version":"1.0"},"canonical_sha256":"b4926ee8d68b35c8a8950a2aead914c7ded9b3d8a38ae3f3a87e1ec1e0dda613","source":{"kind":"arxiv","id":"1306.4720","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4720","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4720v2","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4720","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"pith_short_12","alias_value":"WSJG52GWRM24","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WSJG52GWRM24RKEV","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WSJG52GW","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WSJG52GWRM24RKEVBIVOVWIUY7","target":"record","payload":{"canonical_record":{"source":{"id":"1306.4720","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-19T23:48:59Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"f1819236a65d7156b8c1ee2c8ddc1670e274b97cc8f7cfc53f212ccc1486d2f6","abstract_canon_sha256":"05eec818c9fc63f7af39647dff16b0bd515585c846340d7715a87def6d38c52b"},"schema_version":"1.0"},"canonical_sha256":"b4926ee8d68b35c8a8950a2aead914c7ded9b3d8a38ae3f3a87e1ec1e0dda613","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:24.391421Z","signature_b64":"qKhaKx+CHDW/ieIq19MVHpU4zloYJQ4zorGhxj9AtkwtMCt+xHPlWCa2PKVbu5FFDlNofWJoReqDEWGO69yiDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4926ee8d68b35c8a8950a2aead914c7ded9b3d8a38ae3f3a87e1ec1e0dda613","last_reissued_at":"2026-05-18T02:47:24.391043Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:24.391043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.4720","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":"2026-05-18T02:47:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E9gOcXtz67u7+0gK6xEkRHIEg/28Dsqu5BbGHx30kj/zCIS75ZcvESDECgKZ6YMF4hlB0JfDYt4x2XE8+UltBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:46:11.680496Z"},"content_sha256":"e7d908fbc5e65720757dd7b14950aa6ba45c9bfc4f54b754e22dd852ccfe1f18","schema_version":"1.0","event_id":"sha256:e7d908fbc5e65720757dd7b14950aa6ba45c9bfc4f54b754e22dd852ccfe1f18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WSJG52GWRM24RKEVBIVOVWIUY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crystal Growth Inside an Octant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jason Olejarz, P. L. Krapivsky","submitted_at":"2013-06-19T23:48:59Z","abstract_excerpt":"We study crystal growth inside an infinite octant on a cubic lattice. The growth proceeds through the deposition of elementary cubes into inner corners. After re-scaling by the characteristic size, the interface becomes progressively more deterministic in the long-time limit. Utilizing known results for the crystal growth inside a two-dimensional corner, we propose a hyperbolic partial differential equation for the evolution of the limiting shape. This equation is interpreted as a Hamilton-Jacobi equation which helps in finding an analytical solution. Simulations of the growth process are in e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4720","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":"2026-05-18T02:47:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xuV2V5mKR3QgQwGfBifyMTdNO/bO0jBNlllxoPl4CKKFxWeLgLtMrrsJp//CVGE0MxPYNAktRXcTjZ0ZR+UkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T14:46:11.680839Z"},"content_sha256":"e47721409cb04f8059d1cadd819c33f2ec1031e226c323197b0e7f5d179997ff","schema_version":"1.0","event_id":"sha256:e47721409cb04f8059d1cadd819c33f2ec1031e226c323197b0e7f5d179997ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSJG52GWRM24RKEVBIVOVWIUY7/bundle.json","state_url":"https://pith.science/pith/WSJG52GWRM24RKEVBIVOVWIUY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSJG52GWRM24RKEVBIVOVWIUY7/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":"2026-06-26T14:46:11Z","links":{"resolver":"https://pith.science/pith/WSJG52GWRM24RKEVBIVOVWIUY7","bundle":"https://pith.science/pith/WSJG52GWRM24RKEVBIVOVWIUY7/bundle.json","state":"https://pith.science/pith/WSJG52GWRM24RKEVBIVOVWIUY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSJG52GWRM24RKEVBIVOVWIUY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WSJG52GWRM24RKEVBIVOVWIUY7","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":"05eec818c9fc63f7af39647dff16b0bd515585c846340d7715a87def6d38c52b","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-19T23:48:59Z","title_canon_sha256":"f1819236a65d7156b8c1ee2c8ddc1670e274b97cc8f7cfc53f212ccc1486d2f6"},"schema_version":"1.0","source":{"id":"1306.4720","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4720","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4720v2","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4720","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"pith_short_12","alias_value":"WSJG52GWRM24","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WSJG52GWRM24RKEV","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WSJG52GW","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:e47721409cb04f8059d1cadd819c33f2ec1031e226c323197b0e7f5d179997ff","target":"graph","created_at":"2026-05-18T02:47:24Z","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":"We study crystal growth inside an infinite octant on a cubic lattice. The growth proceeds through the deposition of elementary cubes into inner corners. After re-scaling by the characteristic size, the interface becomes progressively more deterministic in the long-time limit. Utilizing known results for the crystal growth inside a two-dimensional corner, we propose a hyperbolic partial differential equation for the evolution of the limiting shape. This equation is interpreted as a Hamilton-Jacobi equation which helps in finding an analytical solution. Simulations of the growth process are in e","authors_text":"Jason Olejarz, P. L. Krapivsky","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-19T23:48:59Z","title":"Crystal Growth Inside an Octant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4720","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:e7d908fbc5e65720757dd7b14950aa6ba45c9bfc4f54b754e22dd852ccfe1f18","target":"record","created_at":"2026-05-18T02:47:24Z","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":"05eec818c9fc63f7af39647dff16b0bd515585c846340d7715a87def6d38c52b","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-19T23:48:59Z","title_canon_sha256":"f1819236a65d7156b8c1ee2c8ddc1670e274b97cc8f7cfc53f212ccc1486d2f6"},"schema_version":"1.0","source":{"id":"1306.4720","kind":"arxiv","version":2}},"canonical_sha256":"b4926ee8d68b35c8a8950a2aead914c7ded9b3d8a38ae3f3a87e1ec1e0dda613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4926ee8d68b35c8a8950a2aead914c7ded9b3d8a38ae3f3a87e1ec1e0dda613","first_computed_at":"2026-05-18T02:47:24.391043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:24.391043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qKhaKx+CHDW/ieIq19MVHpU4zloYJQ4zorGhxj9AtkwtMCt+xHPlWCa2PKVbu5FFDlNofWJoReqDEWGO69yiDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:24.391421Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4720","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7d908fbc5e65720757dd7b14950aa6ba45c9bfc4f54b754e22dd852ccfe1f18","sha256:e47721409cb04f8059d1cadd819c33f2ec1031e226c323197b0e7f5d179997ff"],"state_sha256":"3af8b2ebeddbecf615ac8f942807afdc03f8afcadf03c631adda0989c6c2ff93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hJOcPhNNfh0JE6sfsSRRSqbGgQN/kyFSohcPZNJclZqBceSFg0U2Hxm2GjW4QDDGwqwD4jWVSW0gVxge9pSmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T14:46:11.682753Z","bundle_sha256":"0a220ed357691fec65c6f080ccf8518fb3342ee3d37aa7b14e23ff9020a5c396"}}