{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TQUEU33TEUTHMHI2WVK3NNE7JO","short_pith_number":"pith:TQUEU33T","canonical_record":{"source":{"id":"1704.06760","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-22T07:26:40Z","cross_cats_sorted":[],"title_canon_sha256":"e54b7f2fb2e6e0156a6dedb24fbab455a8e614e5f14a0fb03ae4b658c16db687","abstract_canon_sha256":"c32ad6a1f1f0184040bc21a10a4359874477d598aa7ecba66055fde08dd8a7cb"},"schema_version":"1.0"},"canonical_sha256":"9c284a6f732526761d1ab555b6b49f4b9996d4a8b00684f60b8db472bb5afbae","source":{"kind":"arxiv","id":"1704.06760","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06760","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06760v2","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06760","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"TQUEU33TEUTH","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TQUEU33TEUTHMHI2","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TQUEU33T","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TQUEU33TEUTHMHI2WVK3NNE7JO","target":"record","payload":{"canonical_record":{"source":{"id":"1704.06760","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-22T07:26:40Z","cross_cats_sorted":[],"title_canon_sha256":"e54b7f2fb2e6e0156a6dedb24fbab455a8e614e5f14a0fb03ae4b658c16db687","abstract_canon_sha256":"c32ad6a1f1f0184040bc21a10a4359874477d598aa7ecba66055fde08dd8a7cb"},"schema_version":"1.0"},"canonical_sha256":"9c284a6f732526761d1ab555b6b49f4b9996d4a8b00684f60b8db472bb5afbae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:06.653762Z","signature_b64":"2+KHJcEg96FZFjCxiQzqujFYuxpwmzjb/qtHFPpVAjrt1GsS8ZyRj8+GYcnMLRJK46+Rfdx9ZcpFeXLfne4yCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c284a6f732526761d1ab555b6b49f4b9996d4a8b00684f60b8db472bb5afbae","last_reissued_at":"2026-05-18T00:33:06.653118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:06.653118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.06760","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":"2026-05-18T00:33:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2xSk9BbJdsQYQCtnTMb57bf2EOIFLWjQSTkEr/4xNIU8ZT3wd49FopyT66uBdgAnXzQ0XgEQ+pIohOhHRM8PDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:40:13.288298Z"},"content_sha256":"3b17a27ea9812a4fde80bd10c8af968b5ec2b8204fddc99e8e58c8ad238339a0","schema_version":"1.0","event_id":"sha256:3b17a27ea9812a4fde80bd10c8af968b5ec2b8204fddc99e8e58c8ad238339a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TQUEU33TEUTHMHI2WVK3NNE7JO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formation of Facets for an Effective Model of Crystal Growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dmitry Ioffe, Senya Shlosman","submitted_at":"2017-04-22T07:26:40Z","abstract_excerpt":"We study an effective model of microscopic facet formation for low temperature three dimensional microscopic Wulff crystals above the droplet condensation threshold. The model we consider is a 2+1 solid on solid surface coupled with high and low density bulk Bernoulli fields. At equilibrium the surface stays flat. Imposing a canonical constraint on excess number of particles forces the surface to \"grow\" through the sequence of spontaneous creations of macroscopic size monolayers. We prove that at all sufficiently low temperatures, as the excess particle constraint is tuned, the model undergoes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06760","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":"2026-05-18T00:33:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B+O9kMQqEnIBuLvcCrtJRPLfh/NIEjC+Qx7yb035pAPsZJGPa+OuODz2hH/yr02Oq6bUuqwmlHwx+SZ3y2jdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:40:13.288662Z"},"content_sha256":"6dbebbaf84476c47960d478a70924affa3489793cce061da020dbe56554f7a87","schema_version":"1.0","event_id":"sha256:6dbebbaf84476c47960d478a70924affa3489793cce061da020dbe56554f7a87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TQUEU33TEUTHMHI2WVK3NNE7JO/bundle.json","state_url":"https://pith.science/pith/TQUEU33TEUTHMHI2WVK3NNE7JO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TQUEU33TEUTHMHI2WVK3NNE7JO/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":"2026-06-25T19:40:13Z","links":{"resolver":"https://pith.science/pith/TQUEU33TEUTHMHI2WVK3NNE7JO","bundle":"https://pith.science/pith/TQUEU33TEUTHMHI2WVK3NNE7JO/bundle.json","state":"https://pith.science/pith/TQUEU33TEUTHMHI2WVK3NNE7JO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TQUEU33TEUTHMHI2WVK3NNE7JO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TQUEU33TEUTHMHI2WVK3NNE7JO","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":"c32ad6a1f1f0184040bc21a10a4359874477d598aa7ecba66055fde08dd8a7cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-22T07:26:40Z","title_canon_sha256":"e54b7f2fb2e6e0156a6dedb24fbab455a8e614e5f14a0fb03ae4b658c16db687"},"schema_version":"1.0","source":{"id":"1704.06760","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06760","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06760v2","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06760","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"TQUEU33TEUTH","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TQUEU33TEUTHMHI2","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TQUEU33T","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:6dbebbaf84476c47960d478a70924affa3489793cce061da020dbe56554f7a87","target":"graph","created_at":"2026-05-18T00:33:06Z","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 an effective model of microscopic facet formation for low temperature three dimensional microscopic Wulff crystals above the droplet condensation threshold. The model we consider is a 2+1 solid on solid surface coupled with high and low density bulk Bernoulli fields. At equilibrium the surface stays flat. Imposing a canonical constraint on excess number of particles forces the surface to \"grow\" through the sequence of spontaneous creations of macroscopic size monolayers. We prove that at all sufficiently low temperatures, as the excess particle constraint is tuned, the model undergoes","authors_text":"Dmitry Ioffe, Senya Shlosman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-22T07:26:40Z","title":"Formation of Facets for an Effective Model of Crystal Growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06760","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":"sha256:3b17a27ea9812a4fde80bd10c8af968b5ec2b8204fddc99e8e58c8ad238339a0","target":"record","created_at":"2026-05-18T00:33:06Z","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":"c32ad6a1f1f0184040bc21a10a4359874477d598aa7ecba66055fde08dd8a7cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-04-22T07:26:40Z","title_canon_sha256":"e54b7f2fb2e6e0156a6dedb24fbab455a8e614e5f14a0fb03ae4b658c16db687"},"schema_version":"1.0","source":{"id":"1704.06760","kind":"arxiv","version":2}},"canonical_sha256":"9c284a6f732526761d1ab555b6b49f4b9996d4a8b00684f60b8db472bb5afbae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c284a6f732526761d1ab555b6b49f4b9996d4a8b00684f60b8db472bb5afbae","first_computed_at":"2026-05-18T00:33:06.653118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:06.653118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2+KHJcEg96FZFjCxiQzqujFYuxpwmzjb/qtHFPpVAjrt1GsS8ZyRj8+GYcnMLRJK46+Rfdx9ZcpFeXLfne4yCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:06.653762Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06760","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b17a27ea9812a4fde80bd10c8af968b5ec2b8204fddc99e8e58c8ad238339a0","sha256:6dbebbaf84476c47960d478a70924affa3489793cce061da020dbe56554f7a87"],"state_sha256":"ac5dc56599d809d1980a0509445208e2723c2f3c818808bf93c53a2a8e39c8da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oXQDfoxwYyve4bKSrBFSMkDbmBfkyY6B8hOsXTWgpIQSRROnFnQp3/TfTOpMvfnd+WWjXYa7FZWSIcZsMGdIAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T19:40:13.290543Z","bundle_sha256":"0072ef4fe4afd1b00eb79576655e6cbf1b6551352a09d6ca703c50e33c4ddfee"}}