{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GPDZTGTP3OZTH7XNJIPWWD5ATW","short_pith_number":"pith:GPDZTGTP","canonical_record":{"source":{"id":"1404.4207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-16T11:20:57Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"f6a71c3df9e6683123d844f90c8f1e57daaab8d73ee3951dbb7be8df97f24f5d","abstract_canon_sha256":"4051c3c4838795522d0adf9c6d93063be9269262542cbfc451bbc53dcd8e9e40"},"schema_version":"1.0"},"canonical_sha256":"33c7999a6fdbb333feed4a1f6b0fa09db930a783e90489ae575ca7ed4e87e5e3","source":{"kind":"arxiv","id":"1404.4207","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4207","created_at":"2026-05-18T02:54:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4207v1","created_at":"2026-05-18T02:54:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4207","created_at":"2026-05-18T02:54:05Z"},{"alias_kind":"pith_short_12","alias_value":"GPDZTGTP3OZT","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GPDZTGTP3OZTH7XN","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GPDZTGTP","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GPDZTGTP3OZTH7XNJIPWWD5ATW","target":"record","payload":{"canonical_record":{"source":{"id":"1404.4207","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-16T11:20:57Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"f6a71c3df9e6683123d844f90c8f1e57daaab8d73ee3951dbb7be8df97f24f5d","abstract_canon_sha256":"4051c3c4838795522d0adf9c6d93063be9269262542cbfc451bbc53dcd8e9e40"},"schema_version":"1.0"},"canonical_sha256":"33c7999a6fdbb333feed4a1f6b0fa09db930a783e90489ae575ca7ed4e87e5e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:05.937773Z","signature_b64":"s33Vrw8K/vJWGK0nQEweu8d7zoMiXlF8s3AlgSIp+Nw3/8s45Skyb1Xs2Q9eyLd7qLHczsg4lwSJWq8hi85cCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33c7999a6fdbb333feed4a1f6b0fa09db930a783e90489ae575ca7ed4e87e5e3","last_reissued_at":"2026-05-18T02:54:05.937081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:05.937081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.4207","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":"2026-05-18T02:54:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wZb9zK8EzWyXEgWqekX4A+7B0AYnewKSlwxIo/qSomBw6a/ynyYOsv08WAS+WXvj+1jaREjXjXoJySxHRwajDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:03:29.992117Z"},"content_sha256":"746e4df40f923ab51c13de3ff3862fef9aa28a000fc6664f164367bb96d928b6","schema_version":"1.0","event_id":"sha256:746e4df40f923ab51c13de3ff3862fef9aa28a000fc6664f164367bb96d928b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GPDZTGTP3OZTH7XNJIPWWD5ATW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiscale Modeling of Colloidal Dynamics in Porous Media: Capturing Aggregation and Deposition Effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"math.AP","authors_text":"Adrian Muntean, Oleh Krehel, Peter Knabner","submitted_at":"2014-04-16T11:20:57Z","abstract_excerpt":"We investigate the influence of multiscale aggregation and deposition on the colloidal dynamics in a saturated porous medium. At the pore scale, the aggregation of colloids is modeled by the Smoluchowski equation. Essentially, the colloidal mass is distributed between different size clusters. We treat these clusters as different species involved in a diffusion-advection-reaction mechanism. This modeling procedure allows for different material properties to be varied between the different species, specifically the rates of diffusion, aggregation, deposition as well as the advection velocities. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4207","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":"2026-05-18T02:54:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J8SF1KGuwi2afBAz0MLbN0Qmtgu9j7T40hPbnzpwM+oJeHWPaWxy8OL33mAKTpGsBX3aFcE1xJXuE8O7PVggDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T18:03:29.992824Z"},"content_sha256":"c4afe5d2354c127d8b48a2307078b8dc15dd06ffb39e5ee19c312cb77ac2f8d2","schema_version":"1.0","event_id":"sha256:c4afe5d2354c127d8b48a2307078b8dc15dd06ffb39e5ee19c312cb77ac2f8d2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GPDZTGTP3OZTH7XNJIPWWD5ATW/bundle.json","state_url":"https://pith.science/pith/GPDZTGTP3OZTH7XNJIPWWD5ATW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GPDZTGTP3OZTH7XNJIPWWD5ATW/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":"2026-05-26T18:03:29Z","links":{"resolver":"https://pith.science/pith/GPDZTGTP3OZTH7XNJIPWWD5ATW","bundle":"https://pith.science/pith/GPDZTGTP3OZTH7XNJIPWWD5ATW/bundle.json","state":"https://pith.science/pith/GPDZTGTP3OZTH7XNJIPWWD5ATW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GPDZTGTP3OZTH7XNJIPWWD5ATW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GPDZTGTP3OZTH7XNJIPWWD5ATW","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":"4051c3c4838795522d0adf9c6d93063be9269262542cbfc451bbc53dcd8e9e40","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-16T11:20:57Z","title_canon_sha256":"f6a71c3df9e6683123d844f90c8f1e57daaab8d73ee3951dbb7be8df97f24f5d"},"schema_version":"1.0","source":{"id":"1404.4207","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4207","created_at":"2026-05-18T02:54:05Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4207v1","created_at":"2026-05-18T02:54:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4207","created_at":"2026-05-18T02:54:05Z"},{"alias_kind":"pith_short_12","alias_value":"GPDZTGTP3OZT","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GPDZTGTP3OZTH7XN","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GPDZTGTP","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:c4afe5d2354c127d8b48a2307078b8dc15dd06ffb39e5ee19c312cb77ac2f8d2","target":"graph","created_at":"2026-05-18T02:54:05Z","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 investigate the influence of multiscale aggregation and deposition on the colloidal dynamics in a saturated porous medium. At the pore scale, the aggregation of colloids is modeled by the Smoluchowski equation. Essentially, the colloidal mass is distributed between different size clusters. We treat these clusters as different species involved in a diffusion-advection-reaction mechanism. This modeling procedure allows for different material properties to be varied between the different species, specifically the rates of diffusion, aggregation, deposition as well as the advection velocities. ","authors_text":"Adrian Muntean, Oleh Krehel, Peter Knabner","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-16T11:20:57Z","title":"Multiscale Modeling of Colloidal Dynamics in Porous Media: Capturing Aggregation and Deposition Effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4207","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":"sha256:746e4df40f923ab51c13de3ff3862fef9aa28a000fc6664f164367bb96d928b6","target":"record","created_at":"2026-05-18T02:54:05Z","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":"4051c3c4838795522d0adf9c6d93063be9269262542cbfc451bbc53dcd8e9e40","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-16T11:20:57Z","title_canon_sha256":"f6a71c3df9e6683123d844f90c8f1e57daaab8d73ee3951dbb7be8df97f24f5d"},"schema_version":"1.0","source":{"id":"1404.4207","kind":"arxiv","version":1}},"canonical_sha256":"33c7999a6fdbb333feed4a1f6b0fa09db930a783e90489ae575ca7ed4e87e5e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33c7999a6fdbb333feed4a1f6b0fa09db930a783e90489ae575ca7ed4e87e5e3","first_computed_at":"2026-05-18T02:54:05.937081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:05.937081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s33Vrw8K/vJWGK0nQEweu8d7zoMiXlF8s3AlgSIp+Nw3/8s45Skyb1Xs2Q9eyLd7qLHczsg4lwSJWq8hi85cCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:05.937773Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4207","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:746e4df40f923ab51c13de3ff3862fef9aa28a000fc6664f164367bb96d928b6","sha256:c4afe5d2354c127d8b48a2307078b8dc15dd06ffb39e5ee19c312cb77ac2f8d2"],"state_sha256":"d34f5f4ce3fd78b9b8ee7e531753f4a0aa6c6a4edf84d30bf0d5e4d949e0bfe9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zzLV1kDH44U1GY3auRcwdHqa+/roenEqHittG0fP9yzRsqAZP1rCSO69ZIZBLALqhFg+Q7YSjnPQzZ7XbpjcCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T18:03:29.995812Z","bundle_sha256":"57805de241301051f33275c6bf766e84de093d7e21d4cc99a89dbd0d6e8af3d5"}}