Pith Number

pith:2G7R5NCS

pith:2015:2G7R5NCSWP2RPWZ3TZ5MCNUES7

not attested not anchored not stored refs pending

A meeting point of entropy and bifurcations in cross-diffusion herding

Ansgar J\"ungel, Christian Kuehn, Lara Trussardi

arxiv:1504.07555 v4 · 2015-04-28 · math.AP · math.DS · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2G7R5NCSWP2RPWZ3TZ5MCNUES7}

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	2026-05-17T23:57:49.082022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1bf1eb452b3f517db3b9e7ac1368497f66370573a04ee45fa44d8b13538739c

Aliases

arxiv: 1504.07555 · arxiv_version: 1504.07555v4 · doi: 10.48550/arxiv.1504.07555 · pith_short_12: 2G7R5NCSWP2R · pith_short_16: 2G7R5NCSWP2RPWZ3 · pith_short_8: 2G7R5NCS

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/2G7R5NCSWP2RPWZ3TZ5MCNUES7 \
  | 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: d1bf1eb452b3f517db3b9e7ac1368497f66370573a04ee45fa44d8b13538739c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8023bf5330690afc89418391364d718dd749520e2f82fe0fcef9025bfc246632",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-28T16:19:24Z",
    "title_canon_sha256": "9666b6e7880b717010adffd1ab96585bd79571f95b84b43331a77d2c201c6406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07555",
    "kind": "arxiv",
    "version": 4
  }
}