{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:AQZPXULA5EV6TLRBV4BERD2CJY","short_pith_number":"pith:AQZPXULA","canonical_record":{"source":{"id":"cond-mat/0008097","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-08-07T01:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"1285e8886aed76a61ac507fd5b38936034fd1cf0ff624a29907cfd4ef20acbd4","abstract_canon_sha256":"42f3b01771ea3574f399e400a5157c43af1edca5157d96ebd73427736e673e39"},"schema_version":"1.0"},"canonical_sha256":"0432fbd160e92be9ae21af02488f424e0585054c14fcda9b1e292e9bd11746e5","source":{"kind":"arxiv","id":"cond-mat/0008097","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0008097","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0008097v2","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0008097","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"AQZPXULA5EV6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AQZPXULA5EV6TLRB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AQZPXULA","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:AQZPXULA5EV6TLRBV4BERD2CJY","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0008097","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"2000-08-07T01:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"1285e8886aed76a61ac507fd5b38936034fd1cf0ff624a29907cfd4ef20acbd4","abstract_canon_sha256":"42f3b01771ea3574f399e400a5157c43af1edca5157d96ebd73427736e673e39"},"schema_version":"1.0"},"canonical_sha256":"0432fbd160e92be9ae21af02488f424e0585054c14fcda9b1e292e9bd11746e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:14.007068Z","signature_b64":"DekorprSxB24by487FvakyzJ9zeITRg5kVPWn/bmL5HoF/laTu0+ktlidpt85HgBcngImHYAUVvbbG2gfm0YDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0432fbd160e92be9ae21af02488f424e0585054c14fcda9b1e292e9bd11746e5","last_reissued_at":"2026-05-18T01:11:14.006604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:14.006604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0008097","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":"2026-05-18T01:11:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ry1YjyU/ZpWfZFKPk5IXjyaGlmGz+Iiuv10Sov7RgHxcxsWWwiYKM2wWRg5gHGDmtfXOHvqs7SqfKzcnLgoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:16:10.362422Z"},"content_sha256":"ae36e3a7c5546bb526b106334e09879c42d34ed3d059fff9aae7fadd6130aaf5","schema_version":"1.0","event_id":"sha256:ae36e3a7c5546bb526b106334e09879c42d34ed3d059fff9aae7fadd6130aaf5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:AQZPXULA5EV6TLRBV4BERD2CJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary Conditions in Diffusional Growth and Sedimentation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Jongsoon Park, Vladimir Privman","submitted_at":"2000-08-07T01:48:55Z","abstract_excerpt":"In many applications, transport of particles can be described by the diffusion equation, or its convective-diffusion generalizations, in part of three-dimensional space. In particular, in surface deposition or in growth of aggregates or sediments, particles in the suspension outside the surface or aggregate boundary can be considered as diffusing under the influence of applied forces, such as the double-layer interactions or gravity. However, the diffusion equation cannot be used at the substrate or inside the aggregate. One convenient and widely used approach has been to impose boundary condi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0008097","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":"2026-05-18T01:11:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e99l+gFWk0qC/7zwOuYUQSMajRraCBSvUkKGAioPgef2c16jPVyiiub3dQ18RIkhQoM1fRVbLjoU89Htw1t1Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:16:10.362767Z"},"content_sha256":"d706d7911be89290cb79c61a59cacd1f5e6a84e27ae668226477d8168ba6b490","schema_version":"1.0","event_id":"sha256:d706d7911be89290cb79c61a59cacd1f5e6a84e27ae668226477d8168ba6b490"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQZPXULA5EV6TLRBV4BERD2CJY/bundle.json","state_url":"https://pith.science/pith/AQZPXULA5EV6TLRBV4BERD2CJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQZPXULA5EV6TLRBV4BERD2CJY/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":"2026-06-01T00:16:10Z","links":{"resolver":"https://pith.science/pith/AQZPXULA5EV6TLRBV4BERD2CJY","bundle":"https://pith.science/pith/AQZPXULA5EV6TLRBV4BERD2CJY/bundle.json","state":"https://pith.science/pith/AQZPXULA5EV6TLRBV4BERD2CJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQZPXULA5EV6TLRBV4BERD2CJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:AQZPXULA5EV6TLRBV4BERD2CJY","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":"42f3b01771ea3574f399e400a5157c43af1edca5157d96ebd73427736e673e39","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-08-07T01:48:55Z","title_canon_sha256":"1285e8886aed76a61ac507fd5b38936034fd1cf0ff624a29907cfd4ef20acbd4"},"schema_version":"1.0","source":{"id":"cond-mat/0008097","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0008097","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0008097v2","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0008097","created_at":"2026-05-18T01:11:14Z"},{"alias_kind":"pith_short_12","alias_value":"AQZPXULA5EV6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"AQZPXULA5EV6TLRB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"AQZPXULA","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:d706d7911be89290cb79c61a59cacd1f5e6a84e27ae668226477d8168ba6b490","target":"graph","created_at":"2026-05-18T01:11:14Z","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 applications, transport of particles can be described by the diffusion equation, or its convective-diffusion generalizations, in part of three-dimensional space. In particular, in surface deposition or in growth of aggregates or sediments, particles in the suspension outside the surface or aggregate boundary can be considered as diffusing under the influence of applied forces, such as the double-layer interactions or gravity. However, the diffusion equation cannot be used at the substrate or inside the aggregate. One convenient and widely used approach has been to impose boundary condi","authors_text":"Jongsoon Park, Vladimir Privman","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"2000-08-07T01:48:55Z","title":"Boundary Conditions in Diffusional Growth and Sedimentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0008097","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:ae36e3a7c5546bb526b106334e09879c42d34ed3d059fff9aae7fadd6130aaf5","target":"record","created_at":"2026-05-18T01:11:14Z","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":"42f3b01771ea3574f399e400a5157c43af1edca5157d96ebd73427736e673e39","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"2000-08-07T01:48:55Z","title_canon_sha256":"1285e8886aed76a61ac507fd5b38936034fd1cf0ff624a29907cfd4ef20acbd4"},"schema_version":"1.0","source":{"id":"cond-mat/0008097","kind":"arxiv","version":2}},"canonical_sha256":"0432fbd160e92be9ae21af02488f424e0585054c14fcda9b1e292e9bd11746e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0432fbd160e92be9ae21af02488f424e0585054c14fcda9b1e292e9bd11746e5","first_computed_at":"2026-05-18T01:11:14.006604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:14.006604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DekorprSxB24by487FvakyzJ9zeITRg5kVPWn/bmL5HoF/laTu0+ktlidpt85HgBcngImHYAUVvbbG2gfm0YDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:14.007068Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0008097","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae36e3a7c5546bb526b106334e09879c42d34ed3d059fff9aae7fadd6130aaf5","sha256:d706d7911be89290cb79c61a59cacd1f5e6a84e27ae668226477d8168ba6b490"],"state_sha256":"001a7217fa3d634e58717298ddab1eb02bbbc55241ac0cc773da0ffc1d19428f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S+VM2CWmmUJpGIFPWJNxzz9gPkyaEMih6HRS2Mq6NJsCQTw0pMO5ugmYkbZ6uexiZ01fO9EVoyXOqK7BRJhLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T00:16:10.364873Z","bundle_sha256":"f70aef314f4185a764e05f18e89011a93c5fe8ec509cad396eec798bad652f1b"}}