Pith. sign in
Pith Number

pith:HJAYOLWB

pith:2020:HJAYOLWBE7JRUVQ6QL7O3DZBXK
not attested not anchored not stored refs pending

Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation

Angelika Manhart, Diane Peurichard, Eric E. Keaveny, Pedro Aceves-Sanchez, Pierre Degond, Sara Merino-Aceituno

arxiv:2004.12638 v1 · 2020-04-27 · math.AP · cond-mat.soft · q-bio.CB

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HJAYOLWBE7JRUVQ6QL7O3DZBXK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-07-05T00:58:26.316651Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3a41872ec127d31a561e82feed8f21ba8298b045844f34bf97e3c57f66b905c7

Aliases

arxiv: 2004.12638 · arxiv_version: 2004.12638v1 · doi: 10.48550/arxiv.2004.12638 · pith_short_12: HJAYOLWBE7JR · pith_short_16: HJAYOLWBE7JRUVQ6 · pith_short_8: HJAYOLWB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HJAYOLWBE7JRUVQ6QL7O3DZBXK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3a41872ec127d31a561e82feed8f21ba8298b045844f34bf97e3c57f66b905c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "39efd25cfa9ac2813579550f3a4784d8626240ea34c5f9d2edc74ddb1cc9500e",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-04-27T08:36:18Z",
    "title_canon_sha256": "487303128b2a2cdbed89fd545579a3abed9a532d751fe188bfaebf05f8af5e9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12638",
    "kind": "arxiv",
    "version": 1
  }
}