{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QAXRI6XXFOHM72NJICPGUFEO3B","short_pith_number":"pith:QAXRI6XX","canonical_record":{"source":{"id":"1309.0947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-04T08:48:56Z","cross_cats_sorted":[],"title_canon_sha256":"dccd7da29d672703b7e37e57af5f7192a7bbb2f012f65c04ec7cf4b4b596d786","abstract_canon_sha256":"d2cc3583ff2fcd925a980ff7d851123d6a566f94962c20923cd1574a890ace50"},"schema_version":"1.0"},"canonical_sha256":"802f147af72b8ecfe9a9409e6a148ed844abcf7b17bdb6596faea9c6f05e249c","source":{"kind":"arxiv","id":"1309.0947","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0947","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0947v1","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0947","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"QAXRI6XXFOHM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QAXRI6XXFOHM72NJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QAXRI6XX","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QAXRI6XXFOHM72NJICPGUFEO3B","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-04T08:48:56Z","cross_cats_sorted":[],"title_canon_sha256":"dccd7da29d672703b7e37e57af5f7192a7bbb2f012f65c04ec7cf4b4b596d786","abstract_canon_sha256":"d2cc3583ff2fcd925a980ff7d851123d6a566f94962c20923cd1574a890ace50"},"schema_version":"1.0"},"canonical_sha256":"802f147af72b8ecfe9a9409e6a148ed844abcf7b17bdb6596faea9c6f05e249c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:09.518027Z","signature_b64":"NOUZgC3ds4NWhLnDZD+vMZOXoi/vh7uN51b5eLErg3E7SKbVG3Pog66k/4ttxklS3o6+QuGA2ngxIhXsKWlgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"802f147af72b8ecfe9a9409e6a148ed844abcf7b17bdb6596faea9c6f05e249c","last_reissued_at":"2026-05-18T03:14:09.517587Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:09.517587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0947","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":"2026-05-18T03:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oZXsBoxC78IwZNZz8XklT95XO2NkPwXqIb7ziMwEw9+ViRTENnbJ5wa6v1M0H7ryguuYMUOSbfMZ6rDY6HjbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:07:30.419214Z"},"content_sha256":"7a53caa91496f1ba313b0893476b8fc6212c40f22132b71e52fbc4087b0d7071","schema_version":"1.0","event_id":"sha256:7a53caa91496f1ba313b0893476b8fc6212c40f22132b71e52fbc4087b0d7071"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QAXRI6XXFOHM72NJICPGUFEO3B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Walk on Lattices: Graph Theoretic Approach to Modeling Epitaxially Grown Thin Film","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Surachate Limkumnerd","submitted_at":"2013-09-04T08:48:56Z","abstract_excerpt":"Immense interests in thin-film fabrication for industrial applications have driven both theoretical and computational aspects of modeling its growth with an aim to design and control film's surface morphology. Oftentimes, smooth surface is desirable and is experimentally achievable via molecular-beam epitaxy (MBE) growth technique with exceptionally low deposition flux. Adatoms on the film grown with such a method tend to have large diffusion length which can be computationally very costly when certain statistical aspects are demanded. We present a graph theoretic approach to modeling MBE grow"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0947","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":"2026-05-18T03:14:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVyN6WlXqU6xFJz+QZCmSrebCtdkIP85DafONQBo6C7c0JKgnebr7FblCnzIEXtqCcSfD71xEN7RvOEti9e2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:07:30.419569Z"},"content_sha256":"2c699c7a1090791cf7cc0f84b3c825980e1856813c3ff40da04cc59ec872a747","schema_version":"1.0","event_id":"sha256:2c699c7a1090791cf7cc0f84b3c825980e1856813c3ff40da04cc59ec872a747"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QAXRI6XXFOHM72NJICPGUFEO3B/bundle.json","state_url":"https://pith.science/pith/QAXRI6XXFOHM72NJICPGUFEO3B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QAXRI6XXFOHM72NJICPGUFEO3B/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":"2026-06-03T05:07:30Z","links":{"resolver":"https://pith.science/pith/QAXRI6XXFOHM72NJICPGUFEO3B","bundle":"https://pith.science/pith/QAXRI6XXFOHM72NJICPGUFEO3B/bundle.json","state":"https://pith.science/pith/QAXRI6XXFOHM72NJICPGUFEO3B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QAXRI6XXFOHM72NJICPGUFEO3B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QAXRI6XXFOHM72NJICPGUFEO3B","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":"d2cc3583ff2fcd925a980ff7d851123d6a566f94962c20923cd1574a890ace50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-04T08:48:56Z","title_canon_sha256":"dccd7da29d672703b7e37e57af5f7192a7bbb2f012f65c04ec7cf4b4b596d786"},"schema_version":"1.0","source":{"id":"1309.0947","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0947","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0947v1","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0947","created_at":"2026-05-18T03:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"QAXRI6XXFOHM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QAXRI6XXFOHM72NJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QAXRI6XX","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:2c699c7a1090791cf7cc0f84b3c825980e1856813c3ff40da04cc59ec872a747","target":"graph","created_at":"2026-05-18T03:14:09Z","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":"Immense interests in thin-film fabrication for industrial applications have driven both theoretical and computational aspects of modeling its growth with an aim to design and control film's surface morphology. Oftentimes, smooth surface is desirable and is experimentally achievable via molecular-beam epitaxy (MBE) growth technique with exceptionally low deposition flux. Adatoms on the film grown with such a method tend to have large diffusion length which can be computationally very costly when certain statistical aspects are demanded. We present a graph theoretic approach to modeling MBE grow","authors_text":"Surachate Limkumnerd","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-04T08:48:56Z","title":"Random Walk on Lattices: Graph Theoretic Approach to Modeling Epitaxially Grown Thin Film"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0947","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":"sha256:7a53caa91496f1ba313b0893476b8fc6212c40f22132b71e52fbc4087b0d7071","target":"record","created_at":"2026-05-18T03:14:09Z","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":"d2cc3583ff2fcd925a980ff7d851123d6a566f94962c20923cd1574a890ace50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-09-04T08:48:56Z","title_canon_sha256":"dccd7da29d672703b7e37e57af5f7192a7bbb2f012f65c04ec7cf4b4b596d786"},"schema_version":"1.0","source":{"id":"1309.0947","kind":"arxiv","version":1}},"canonical_sha256":"802f147af72b8ecfe9a9409e6a148ed844abcf7b17bdb6596faea9c6f05e249c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"802f147af72b8ecfe9a9409e6a148ed844abcf7b17bdb6596faea9c6f05e249c","first_computed_at":"2026-05-18T03:14:09.517587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:09.517587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NOUZgC3ds4NWhLnDZD+vMZOXoi/vh7uN51b5eLErg3E7SKbVG3Pog66k/4ttxklS3o6+QuGA2ngxIhXsKWlgDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:09.518027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0947","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a53caa91496f1ba313b0893476b8fc6212c40f22132b71e52fbc4087b0d7071","sha256:2c699c7a1090791cf7cc0f84b3c825980e1856813c3ff40da04cc59ec872a747"],"state_sha256":"67633425e2d02b187090d87173ad5b8778a3b0654694483a979af8ebbfb84159"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TOn3OFoIO2T8AImA1CXdoRm1JO7FTsD0XEyuRVrj8WISlK8NCnv2nTtVb8ek8V2HwLP+PahOOhwxCacz5K8fAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:07:30.421521Z","bundle_sha256":"e49b3542246b751a2fc2d648fcda9a392d79ab5ac918e28cff1d73356af88d32"}}