{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JDD4XIIDDAWVROE2NC5HE4RUGH","short_pith_number":"pith:JDD4XIID","canonical_record":{"source":{"id":"1611.08965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-11-28T02:49:35Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"772234a12b9419ad0a14343e2e19335f61f3bee4fa1ff522022911598ed385bd","abstract_canon_sha256":"6952278124830bc0ef52d5d1121dc3ea571dd028f6a7346861c952210b04e2ae"},"schema_version":"1.0"},"canonical_sha256":"48c7cba103182d58b89a68ba72723431f444e0778bf0fa268d2602932f573a75","source":{"kind":"arxiv","id":"1611.08965","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08965","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08965v1","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08965","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"JDD4XIIDDAWV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JDD4XIIDDAWVROE2","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JDD4XIID","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JDD4XIIDDAWVROE2NC5HE4RUGH","target":"record","payload":{"canonical_record":{"source":{"id":"1611.08965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-11-28T02:49:35Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.flu-dyn"],"title_canon_sha256":"772234a12b9419ad0a14343e2e19335f61f3bee4fa1ff522022911598ed385bd","abstract_canon_sha256":"6952278124830bc0ef52d5d1121dc3ea571dd028f6a7346861c952210b04e2ae"},"schema_version":"1.0"},"canonical_sha256":"48c7cba103182d58b89a68ba72723431f444e0778bf0fa268d2602932f573a75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:29.469683Z","signature_b64":"K9ujDc+eP2ClqCYGgDEl52zeh33YhyiZBOq61nWF9/SvkZjQv2tVD5tpIIJXdMISjOR/HOm8bwUZttX1XdZNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48c7cba103182d58b89a68ba72723431f444e0778bf0fa268d2602932f573a75","last_reissued_at":"2026-05-18T00:53:29.469301Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:29.469301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.08965","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":"2026-05-18T00:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHA2g8uO6qM6hHmuHw9gAD4i9Zil/UDnmQE6Ect5ZHD8Wp6vBneUp0bQNMoodqLSA77btFJarhSXT4B5Y9pTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T12:40:56.959610Z"},"content_sha256":"7093492facbf97d66d606793123a3a7120315a17aa1d0264b95474fc092afa12","schema_version":"1.0","event_id":"sha256:7093492facbf97d66d606793123a3a7120315a17aa1d0264b95474fc092afa12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JDD4XIIDDAWVROE2NC5HE4RUGH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stabilizing effect of tip splitting on the interface motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","physics.flu-dyn"],"primary_cat":"nlin.PS","authors_text":"Michal Pecelerowicz, Piotr Szymczak","submitted_at":"2016-11-28T02:49:35Z","abstract_excerpt":"Pattern-forming processes, such as electrodeposition, dielectric breakdown or viscous fingering are often driven by instabilities. Accordingly, the resulting growth patterns are usually highly branched, fractal structures. However, in some of the unstable growth processes the envelope of the structure grows in a highly regular manner, with the perturbations smoothed out over the course of time. In this paper, we show that the regularity of the envelope growth can be connected to small-scale instabilities leading to the tip splitting of the fingers at the advancing front of the structure. Whene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08965","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":"2026-05-18T00:53:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PLo5mZwplAIuPwVNOspm86mBqtwU9/q+mAn9SliO6I3f1SKBDa/jUuIV2tPTZxxNypTfGasgGWNONsJkY7E7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T12:40:56.960155Z"},"content_sha256":"9817d45fd1f13d2b9c3ca06c2f8fff20310c53fc4bacfbf46172b573aa579df5","schema_version":"1.0","event_id":"sha256:9817d45fd1f13d2b9c3ca06c2f8fff20310c53fc4bacfbf46172b573aa579df5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDD4XIIDDAWVROE2NC5HE4RUGH/bundle.json","state_url":"https://pith.science/pith/JDD4XIIDDAWVROE2NC5HE4RUGH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDD4XIIDDAWVROE2NC5HE4RUGH/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":"2026-06-26T12:40:56Z","links":{"resolver":"https://pith.science/pith/JDD4XIIDDAWVROE2NC5HE4RUGH","bundle":"https://pith.science/pith/JDD4XIIDDAWVROE2NC5HE4RUGH/bundle.json","state":"https://pith.science/pith/JDD4XIIDDAWVROE2NC5HE4RUGH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDD4XIIDDAWVROE2NC5HE4RUGH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JDD4XIIDDAWVROE2NC5HE4RUGH","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":"6952278124830bc0ef52d5d1121dc3ea571dd028f6a7346861c952210b04e2ae","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-11-28T02:49:35Z","title_canon_sha256":"772234a12b9419ad0a14343e2e19335f61f3bee4fa1ff522022911598ed385bd"},"schema_version":"1.0","source":{"id":"1611.08965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08965","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08965v1","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08965","created_at":"2026-05-18T00:53:29Z"},{"alias_kind":"pith_short_12","alias_value":"JDD4XIIDDAWV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JDD4XIIDDAWVROE2","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JDD4XIID","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:9817d45fd1f13d2b9c3ca06c2f8fff20310c53fc4bacfbf46172b573aa579df5","target":"graph","created_at":"2026-05-18T00:53:29Z","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":"Pattern-forming processes, such as electrodeposition, dielectric breakdown or viscous fingering are often driven by instabilities. Accordingly, the resulting growth patterns are usually highly branched, fractal structures. However, in some of the unstable growth processes the envelope of the structure grows in a highly regular manner, with the perturbations smoothed out over the course of time. In this paper, we show that the regularity of the envelope growth can be connected to small-scale instabilities leading to the tip splitting of the fingers at the advancing front of the structure. Whene","authors_text":"Michal Pecelerowicz, Piotr Szymczak","cross_cats":["cond-mat.stat-mech","math-ph","math.MP","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-11-28T02:49:35Z","title":"Stabilizing effect of tip splitting on the interface motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08965","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":"sha256:7093492facbf97d66d606793123a3a7120315a17aa1d0264b95474fc092afa12","target":"record","created_at":"2026-05-18T00:53:29Z","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":"6952278124830bc0ef52d5d1121dc3ea571dd028f6a7346861c952210b04e2ae","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-11-28T02:49:35Z","title_canon_sha256":"772234a12b9419ad0a14343e2e19335f61f3bee4fa1ff522022911598ed385bd"},"schema_version":"1.0","source":{"id":"1611.08965","kind":"arxiv","version":1}},"canonical_sha256":"48c7cba103182d58b89a68ba72723431f444e0778bf0fa268d2602932f573a75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48c7cba103182d58b89a68ba72723431f444e0778bf0fa268d2602932f573a75","first_computed_at":"2026-05-18T00:53:29.469301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:29.469301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K9ujDc+eP2ClqCYGgDEl52zeh33YhyiZBOq61nWF9/SvkZjQv2tVD5tpIIJXdMISjOR/HOm8bwUZttX1XdZNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:29.469683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7093492facbf97d66d606793123a3a7120315a17aa1d0264b95474fc092afa12","sha256:9817d45fd1f13d2b9c3ca06c2f8fff20310c53fc4bacfbf46172b573aa579df5"],"state_sha256":"369c67be2f859c9131afdd3dc7ffde077155d5b25c8524f525f8710962ca0d99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ADvaczbgf+hhfTJc++p/Ir+6+HIyVnUNkgmoRxhYyGyab8cZ6nvsj9JDMJgUTrc64+xSyLxIpWrLyZHIsEwLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T12:40:56.962845Z","bundle_sha256":"c63cbfc88d5bff3a0704c1b8485ade2e67dd09d8582fccbe5753192c8e533aa8"}}