Pith Number

pith:CSVEJZCV

pith:2016:CSVEJZCVOTHWXJXWI5C7NQ7ZSP

not attested not anchored not stored refs pending

Symmetries and martingales in a stochastic model for the Navier-Stokes equation

Ana Bela Cruzeiro, R\'emi Lassalle

arxiv:1602.03657 v1 · 2016-02-11 · 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{CSVEJZCVOTHWXJXWI5C7NQ7ZSP}

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	2026-05-18T01:20:56.897996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14aa44e45574cf6ba6f64745f6c3f993ec52f8ee1faf5f22bbceb86cbf8ca9cd

Aliases

arxiv: 1602.03657 · arxiv_version: 1602.03657v1 · doi: 10.48550/arxiv.1602.03657 · pith_short_12: CSVEJZCVOTHW · pith_short_16: CSVEJZCVOTHWXJXW · pith_short_8: CSVEJZCV

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/CSVEJZCVOTHWXJXWI5C7NQ7ZSP \
  | 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: 14aa44e45574cf6ba6f64745f6c3f993ec52f8ee1faf5f22bbceb86cbf8ca9cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b5851dc38d9be0c3998949e4af30cd6adafe58c6f15a68e700b869ef229f47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-11T09:49:07Z",
    "title_canon_sha256": "958fb4e35ec3a16b6b0af3f57eb13e55f0578a03c841a60a30c1cf4b9eec1ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03657",
    "kind": "arxiv",
    "version": 1
  }
}