Pith Number

pith:3D2DPA2C

pith:2012:3D2DPA2CG6UJSHHHCQ3HI7SBQL

not attested not anchored not stored refs pending

Strong solution of the stochastic Burgers equation

C. Olivera, P. Catuogno

arxiv:1211.6622 v2 · 2012-11-28 · math.FA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D2DPA2CG6UJSHHHCQ3HI7SBQL}

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	2026-05-18T03:27:52.199156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f437834237a8991ce71436747e4182daff07cefd882e9a3ec6d7aa96fba5cd

Aliases

arxiv: 1211.6622 · arxiv_version: 1211.6622v2 · doi: 10.48550/arxiv.1211.6622 · pith_short_12: 3D2DPA2CG6UJ · pith_short_16: 3D2DPA2CG6UJSHHH · pith_short_8: 3D2DPA2C

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/3D2DPA2CG6UJSHHHCQ3HI7SBQL \
  | 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: d8f437834237a8991ce71436747e4182daff07cefd882e9a3ec6d7aa96fba5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "308ec37411b421209e4ec8f470927d18e0ef8bef5fd84e6dd59fba381b17269f",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-28T15:03:29Z",
    "title_canon_sha256": "45e4bca86f671c309ee5bcb9a5749b05146ce07c39717ff6dc5760cb4759e9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6622",
    "kind": "arxiv",
    "version": 2
  }
}