Pith Number

pith:A4A4KPTJ

pith:2009:A4A4KPTJ3OPFR3U7XY2DKKMDPS

not attested not anchored not stored refs pending

Totally Asymmetric Zero-Range process in the Rarefaction Fan

Patricia Goncalves

arxiv:0912.0640 v4 · 2009-12-03 · math.PR · math-ph · 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{A4A4KPTJ3OPFR3U7XY2DKKMDPS}

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	2026-05-18T04:01:11.782929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0701c53e69db9e58ee9fbe343529837cb71be4d2d29342b37b1fba1eb69f4fbf

Aliases

arxiv: 0912.0640 · arxiv_version: 0912.0640v4 · doi: 10.48550/arxiv.0912.0640 · pith_short_12: A4A4KPTJ3OPF · pith_short_16: A4A4KPTJ3OPFR3U7 · pith_short_8: A4A4KPTJ

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/A4A4KPTJ3OPFR3U7XY2DKKMDPS \
  | 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: 0701c53e69db9e58ee9fbe343529837cb71be4d2d29342b37b1fba1eb69f4fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0380b49306231d677bfa1bf0e566198c3955d8e30619b090bd4cc90e574a3af",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-03T12:33:37Z",
    "title_canon_sha256": "8722de6d0602161a6c4fa676869453d1069cf4ded1b5682d2c8d290b25de76dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0640",
    "kind": "arxiv",
    "version": 4
  }
}