Pith Number

pith:YPFG5CPU

pith:2013:YPFG5CPUF3DQAWSRQ6MVFJMWYE

not attested not anchored not stored refs pending

Large deviations for 2D-fractional stochastic Navier-Stokes equation on the torus -Short Proof-

Latifa Debbi

arxiv:1309.1190 v1 · 2013-09-04 · 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{YPFG5CPUF3DQAWSRQ6MVFJMWYE}

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	2026-05-18T03:14:08.008225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ca6e89f42ec7005a51879952a596c112e75c6474189aaa3cb6da991889f14f

Aliases

arxiv: 1309.1190 · arxiv_version: 1309.1190v1 · doi: 10.48550/arxiv.1309.1190 · pith_short_12: YPFG5CPUF3DQ · pith_short_16: YPFG5CPUF3DQAWSR · pith_short_8: YPFG5CPU

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/YPFG5CPUF3DQAWSRQ6MVFJMWYE \
  | 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: c3ca6e89f42ec7005a51879952a596c112e75c6474189aaa3cb6da991889f14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e1ce65f395aa433595b254aaa1d4c500c653bac9b7d166ffcb6a163caf2da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-04T21:31:19Z",
    "title_canon_sha256": "292dca21e061660d2674d49a307c99bb838b79027d46319545b2976850648a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1190",
    "kind": "arxiv",
    "version": 1
  }
}