Pith Number

pith:XYOL3DTU

pith:2010:XYOL3DTUUUULIRVOYSLUM3OAZC

not attested not anchored not stored refs pending

Crossover to the KPZ equation

Milton Jara, Patr\'icia Gon\c{c}alves

arxiv:1004.2726 v4 · 2010-04-15 · 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{XYOL3DTUUUULIRVOYSLUM3OAZC}

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	2026-05-18T03:56:36.544275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1cbd8e74a528b446aec497466dc0c8bd4f71284a1a945b9734c9302f28f55e

Aliases

arxiv: 1004.2726 · arxiv_version: 1004.2726v4 · doi: 10.48550/arxiv.1004.2726 · pith_short_12: XYOL3DTUUUUL · pith_short_16: XYOL3DTUUUULIRVO · pith_short_8: XYOL3DTU

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/XYOL3DTUUUULIRVOYSLUM3OAZC \
  | 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: be1cbd8e74a528b446aec497466dc0c8bd4f71284a1a945b9734c9302f28f55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcbddb1566c08e70ea5f7c4df2f6d4029c1e7ec8ca9bf76bc3492040f0170d03",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-15T22:09:47Z",
    "title_canon_sha256": "bb94db55f63ebe47cc79c33677d4bac29e599d6509cda20a9b091f006bb30643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2726",
    "kind": "arxiv",
    "version": 4
  }
}