Pith Number

pith:NF24MQJ5

pith:2011:NF24MQJ5DM4KIF4L5BYELEPK5X

not attested not anchored not stored refs pending

Stochastic Burgers PDEs with random coefficients and a generalization of the Cole-Hopf transformation

Athanasios Yannacopoulos, Nikolaos Englezos, Nikolaos Frangos, Xanthi-Isidora Kartala

arxiv:1106.1976 v2 · 2011-06-10 · 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{NF24MQJ5DM4KIF4L5BYELEPK5X}

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	2026-05-18T03:31:45.209527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6975c6413d1b38a4178be8704591eaedfafd7fb650f1d0bbbce193c5707d2890

Aliases

arxiv: 1106.1976 · arxiv_version: 1106.1976v2 · doi: 10.48550/arxiv.1106.1976 · pith_short_12: NF24MQJ5DM4K · pith_short_16: NF24MQJ5DM4KIF4L · pith_short_8: NF24MQJ5

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/NF24MQJ5DM4KIF4L5BYELEPK5X \
  | 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: 6975c6413d1b38a4178be8704591eaedfafd7fb650f1d0bbbce193c5707d2890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f664dfddc58e8356c40f803c56477668707558e64da8c76f214425198941f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-10T08:31:17Z",
    "title_canon_sha256": "87e7ef7aa38406471d12d9ed6348afdba5e2222674aea149aee6506419b39798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1976",
    "kind": "arxiv",
    "version": 2
  }
}