Pith Number

pith:CSIT4K7I

pith:2010:CSIT4K7IFT7MLRQDAOPQK54UHQ

not attested not anchored not stored refs pending

On a forward-backward stochastic system associated to the Burgers equation

Ana Bela Cruzeiro, Evelina Shamarova

arxiv:1001.3367 v2 · 2010-01-19 · 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{CSIT4K7IFT7MLRQDAOPQK54UHQ}

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	2026-05-18T04:31:29.947283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14913e2be82cfec5c603039f0577943c001a96040a88182aa7b1566a0e740aa5

Aliases

arxiv: 1001.3367 · arxiv_version: 1001.3367v2 · doi: 10.48550/arxiv.1001.3367 · pith_short_12: CSIT4K7IFT7M · pith_short_16: CSIT4K7IFT7MLRQD · pith_short_8: CSIT4K7I

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/CSIT4K7IFT7MLRQDAOPQK54UHQ \
  | 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: 14913e2be82cfec5c603039f0577943c001a96040a88182aa7b1566a0e740aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78be61fa0c988b8ca817711d696d59debc0962b6f2ace001fe129a72aabb84c3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-19T17:37:52Z",
    "title_canon_sha256": "96ed47d2f4f7b0806abd9431bd2b1585ebe3e1aff2781e1876e948b89bf2adab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3367",
    "kind": "arxiv",
    "version": 2
  }
}