Pith Number

pith:IOC6HXH7

pith:2014:IOC6HXH74IPJQD5AK3A3ELJZY2

not attested not anchored not stored refs pending

Chemotaxis can prevent thresholds on population density

Johannes Lankeit

arxiv:1403.1837 v2 · 2014-03-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOC6HXH74IPJQD5AK3A3ELJZY2}

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	2026-05-18T02:56:43.452999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4385e3dcffe21e980fa056c1b22d39c6bc2d227914edaf7f83f4d53a822cbbb6

Aliases

arxiv: 1403.1837 · arxiv_version: 1403.1837v2 · doi: 10.48550/arxiv.1403.1837 · pith_short_12: IOC6HXH74IPJ · pith_short_16: IOC6HXH74IPJQD5A · pith_short_8: IOC6HXH7

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/IOC6HXH74IPJQD5AK3A3ELJZY2 \
  | 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: 4385e3dcffe21e980fa056c1b22d39c6bc2d227914edaf7f83f4d53a822cbbb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1823bcadf60157b6ca899eb56665e8b6021cd38c317ce2cdf308b6531621de5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-07T18:58:05Z",
    "title_canon_sha256": "0f1d6e84a284b750b700b721dd460894dd83f5d696f65f53a611fda4f6856333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1837",
    "kind": "arxiv",
    "version": 2
  }
}