Pith Number

pith:X4X4PJXG

pith:2012:X4X4PJXGVHAHOSAV2O5T6FHPXS

not attested not anchored not stored refs pending

Pattern formation driven by cross--diffusion in a 2D domain

G.Gambino, M. C. Lombardo, M. Sammartino

arxiv:1211.4412 v1 · 2012-11-19 · nlin.PS · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4X4PJXGVHAHOSAV2O5T6FHPXS}

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	2026-05-18T02:57:36.041112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2fc7a6e6a9c0774815d3bb3f14efbc9a807df7e72697a1366bc89dba96600c

Aliases

arxiv: 1211.4412 · arxiv_version: 1211.4412v1 · doi: 10.48550/arxiv.1211.4412 · pith_short_12: X4X4PJXGVHAH · pith_short_16: X4X4PJXGVHAHOSAV · pith_short_8: X4X4PJXG

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/X4X4PJXGVHAHOSAV2O5T6FHPXS \
  | 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: bf2fc7a6e6a9c0774815d3bb3f14efbc9a807df7e72697a1366bc89dba96600c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6862585e94227230e1d919ec71165650430d6d846d90908a6e97f088c613453f",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-11-19T13:36:23Z",
    "title_canon_sha256": "5754a41cd0b3bc0abfefef9f1825e4edd4bb9f584f486b808ab24393eb6f5ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4412",
    "kind": "arxiv",
    "version": 1
  }
}