{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YN2SGYUK3EXZ6QWBSYFQZKSFDC","short_pith_number":"pith:YN2SGYUK","canonical_record":{"source":{"id":"1307.2309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-09T00:05:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"46cb340e6298a6a3958e3d3a0251bf32e9b71ee0134718149588b084a60e16eb","abstract_canon_sha256":"9eedb16db7cf2a153a88f74cdeb870cd5b1f00af1c9df3018565649d1c0dc61a"},"schema_version":"1.0"},"canonical_sha256":"c37523628ad92f9f42c1960b0caa45188c724a54bb3f5792efa4772830ac7324","source":{"kind":"arxiv","id":"1307.2309","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2309","created_at":"2026-05-18T01:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2309v1","created_at":"2026-05-18T01:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2309","created_at":"2026-05-18T01:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"YN2SGYUK3EXZ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YN2SGYUK3EXZ6QWB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YN2SGYUK","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YN2SGYUK3EXZ6QWBSYFQZKSFDC","target":"record","payload":{"canonical_record":{"source":{"id":"1307.2309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-09T00:05:55Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"46cb340e6298a6a3958e3d3a0251bf32e9b71ee0134718149588b084a60e16eb","abstract_canon_sha256":"9eedb16db7cf2a153a88f74cdeb870cd5b1f00af1c9df3018565649d1c0dc61a"},"schema_version":"1.0"},"canonical_sha256":"c37523628ad92f9f42c1960b0caa45188c724a54bb3f5792efa4772830ac7324","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:58.451381Z","signature_b64":"KG9+n1ry/LoSJ0ecQJM7ok1c0hHC/6Gh1o9L4jxmlBuMqcJSJmcn8y/6+OKl6Qan7w5IzU0yl6xqktLdJ8hTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c37523628ad92f9f42c1960b0caa45188c724a54bb3f5792efa4772830ac7324","last_reissued_at":"2026-05-18T01:48:58.450872Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:58.450872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.2309","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":"2026-05-18T01:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXcfEvdTbGApPTgoWVzgqZtRDhLp7y3Go1bhrmauvEGNWXHb4uh8Ua858g5R0hivZFAa1Svp7X1a8Qh4h0ACDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:11:57.661222Z"},"content_sha256":"96a7c9660f763430d3d7dbc46f84f7dfa9ddce53327c42ad60a61694d0e75017","schema_version":"1.0","event_id":"sha256:96a7c9660f763430d3d7dbc46f84f7dfa9ddce53327c42ad60a61694d0e75017"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YN2SGYUK3EXZ6QWBSYFQZKSFDC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crystallization Dynamics on Curved Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Daniel A. Vega, Leopoldo R. Gomez, Nicolas A. Garcia, Richard A. Register","submitted_at":"2013-07-09T00:05:55Z","abstract_excerpt":"We study the evolution from a liquid to a crystal phase in two-dimensional curved space. At early times, while crystal seeds grow preferentially in regions of low curvature, the lattice frustration produced in regions with high curvature is rapidly relaxed through isolated defects. Further relaxation involves a mechanism of crystal growth and defect annihilation where regions with high curvature act as sinks for the diffusion of domain walls. The pinning of grain boundaries at regions of low curvature leads to the formation of a metastable structure of defects, characterized by asymptotically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2309","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":"2026-05-18T01:48:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nFjLbaNOL/XUuBeT6u4bP36vGXtFLey1SvF4OwxkzSoMQ8noRV+qqLnlPKCIZwCZQ1BCUFgZwVfSYvPwGmI2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:11:57.661579Z"},"content_sha256":"3fac411dcfd9e265072d7f375bf941b20a415decee6545eb2ed1dc62991159f5","schema_version":"1.0","event_id":"sha256:3fac411dcfd9e265072d7f375bf941b20a415decee6545eb2ed1dc62991159f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YN2SGYUK3EXZ6QWBSYFQZKSFDC/bundle.json","state_url":"https://pith.science/pith/YN2SGYUK3EXZ6QWBSYFQZKSFDC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YN2SGYUK3EXZ6QWBSYFQZKSFDC/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":"2026-06-03T20:11:57Z","links":{"resolver":"https://pith.science/pith/YN2SGYUK3EXZ6QWBSYFQZKSFDC","bundle":"https://pith.science/pith/YN2SGYUK3EXZ6QWBSYFQZKSFDC/bundle.json","state":"https://pith.science/pith/YN2SGYUK3EXZ6QWBSYFQZKSFDC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YN2SGYUK3EXZ6QWBSYFQZKSFDC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YN2SGYUK3EXZ6QWBSYFQZKSFDC","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":"9eedb16db7cf2a153a88f74cdeb870cd5b1f00af1c9df3018565649d1c0dc61a","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-09T00:05:55Z","title_canon_sha256":"46cb340e6298a6a3958e3d3a0251bf32e9b71ee0134718149588b084a60e16eb"},"schema_version":"1.0","source":{"id":"1307.2309","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.2309","created_at":"2026-05-18T01:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1307.2309v1","created_at":"2026-05-18T01:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2309","created_at":"2026-05-18T01:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"YN2SGYUK3EXZ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YN2SGYUK3EXZ6QWB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YN2SGYUK","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:3fac411dcfd9e265072d7f375bf941b20a415decee6545eb2ed1dc62991159f5","target":"graph","created_at":"2026-05-18T01:48:58Z","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 the evolution from a liquid to a crystal phase in two-dimensional curved space. At early times, while crystal seeds grow preferentially in regions of low curvature, the lattice frustration produced in regions with high curvature is rapidly relaxed through isolated defects. Further relaxation involves a mechanism of crystal growth and defect annihilation where regions with high curvature act as sinks for the diffusion of domain walls. The pinning of grain boundaries at regions of low curvature leads to the formation of a metastable structure of defects, characterized by asymptotically ","authors_text":"Daniel A. Vega, Leopoldo R. Gomez, Nicolas A. Garcia, Richard A. Register","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-09T00:05:55Z","title":"Crystallization Dynamics on Curved Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2309","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":"sha256:96a7c9660f763430d3d7dbc46f84f7dfa9ddce53327c42ad60a61694d0e75017","target":"record","created_at":"2026-05-18T01:48:58Z","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":"9eedb16db7cf2a153a88f74cdeb870cd5b1f00af1c9df3018565649d1c0dc61a","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-09T00:05:55Z","title_canon_sha256":"46cb340e6298a6a3958e3d3a0251bf32e9b71ee0134718149588b084a60e16eb"},"schema_version":"1.0","source":{"id":"1307.2309","kind":"arxiv","version":1}},"canonical_sha256":"c37523628ad92f9f42c1960b0caa45188c724a54bb3f5792efa4772830ac7324","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c37523628ad92f9f42c1960b0caa45188c724a54bb3f5792efa4772830ac7324","first_computed_at":"2026-05-18T01:48:58.450872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:58.450872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KG9+n1ry/LoSJ0ecQJM7ok1c0hHC/6Gh1o9L4jxmlBuMqcJSJmcn8y/6+OKl6Qan7w5IzU0yl6xqktLdJ8hTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:58.451381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.2309","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96a7c9660f763430d3d7dbc46f84f7dfa9ddce53327c42ad60a61694d0e75017","sha256:3fac411dcfd9e265072d7f375bf941b20a415decee6545eb2ed1dc62991159f5"],"state_sha256":"5d38eb7c3e126d87a215ddb9279cbd80dfe59e7734d5418b6b4cc2e59eeb62b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+tlk9GqHRbsULUYdSqwPWGHtf8lt/zhvsQRYYKdIyY04N/n7XPaquAp6ceNcJzkm30tUi7tbtzUsBalcGOT9AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:11:57.663546Z","bundle_sha256":"9fee4ac2bfe43b1171f141471959619894766b968e1124bd0b0cf855e1e23131"}}