Pith Number

pith:WFT4UUR3

pith:2015:WFT4UUR3RIKDEMSNMHLGUWUTFH

not attested not anchored not stored refs pending

A hydrodynamic limit for chemotaxis in a given heterogeneous environment

Angela Stevens, Daniel Marahrens, Stefan Grosskinsky

arxiv:1508.03569 v1 · 2015-08-14 · math.PR · q-bio.CB

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFT4UUR3RIKDEMSNMHLGUWUTFH}

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	2026-05-18T00:17:35.925965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b167ca523b8a1432324d61d66a5a9329d88c8f93da8a8aad6fc01677882b10c5

Aliases

arxiv: 1508.03569 · arxiv_version: 1508.03569v1 · doi: 10.48550/arxiv.1508.03569 · pith_short_12: WFT4UUR3RIKD · pith_short_16: WFT4UUR3RIKDEMSN · pith_short_8: WFT4UUR3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WFT4UUR3RIKDEMSNMHLGUWUTFH \
  | 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: b167ca523b8a1432324d61d66a5a9329d88c8f93da8a8aad6fc01677882b10c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe31511cb167747c7144de6b7d8275dece052fe89663776e34513eddccdf7db",
    "cross_cats_sorted": [
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-14T16:57:41Z",
    "title_canon_sha256": "8b8064045d31fbde42d29c9cbf788eba2ed38bbc7395e4d080b35d0bb0913663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03569",
    "kind": "arxiv",
    "version": 1
  }
}