Pith Number

pith:2UJIBNN6

pith:2011:2UJIBNN62FT5F3TK4A4EBGJCMV

not attested not anchored not stored refs pending

The Burgers equation with Poisson random forcing

Yuri Bakhtin

arxiv:1109.5668 v2 · 2011-09-26 · math.PR · 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{2UJIBNN62FT5F3TK4A4EBGJCMV}

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	2026-05-18T03:17:35.524240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51280b5bed167d2ee6ae0384099226555672ba9b2ec1d61264099c0d4f15af5

Aliases

arxiv: 1109.5668 · arxiv_version: 1109.5668v2 · doi: 10.48550/arxiv.1109.5668 · pith_short_12: 2UJIBNN62FT5 · pith_short_16: 2UJIBNN62FT5F3TK · pith_short_8: 2UJIBNN6

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/2UJIBNN62FT5F3TK4A4EBGJCMV \
  | 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: d51280b5bed167d2ee6ae0384099226555672ba9b2ec1d61264099c0d4f15af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a987ce4e8e8cb911fddc3beaa70b1d42367c0a9d6ea0f376bb21337bb6bffc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-26T18:55:22Z",
    "title_canon_sha256": "e0a45dd3e2f86373cf5f6a288dba0c135de59b338492e9b4ed37bddfac6363f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5668",
    "kind": "arxiv",
    "version": 2
  }
}