Pith Number

pith:WWTP4JFT

pith:2011:WWTP4JFTZMR6DXWY65L2LJXLRD

not attested not anchored not stored refs pending

A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov's dissipation range

Alexey Cheskidov, Roman Shvydkoy

arxiv:1102.1944 v2 · 2011-02-09 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWTP4JFTZMR6DXWY65L2LJXLRD}

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	2026-05-18T04:20:58.847909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5a6fe24b3cb23e1ded8f757a5a6eb88f93b52e036f59c54062283de438b5db0

Aliases

arxiv: 1102.1944 · arxiv_version: 1102.1944v2 · doi: 10.48550/arxiv.1102.1944 · pith_short_12: WWTP4JFTZMR6 · pith_short_16: WWTP4JFTZMR6DXWY · pith_short_8: WWTP4JFT

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/WWTP4JFTZMR6DXWY65L2LJXLRD \
  | 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: b5a6fe24b3cb23e1ded8f757a5a6eb88f93b52e036f59c54062283de438b5db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978fc5bc9434d1d98fecbc3ecc62edd092d9b21cc6a695eac67631aaf7c741f9",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-09T19:15:00Z",
    "title_canon_sha256": "673a4fc58e1f36a8fe325b9ebac7716d895caf9a60328a5319621a4b7b66b8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1944",
    "kind": "arxiv",
    "version": 2
  }
}