Pith Number

pith:F7VCDT65

pith:2011:F7VCDT652PTFXC3LYMWNC3XD4Z

not attested not anchored not stored refs pending

Conditional regularity of solutions of the three dimensional Navier-Stokes equations and implications for intermittency

J. D. Gibbon

arxiv:1108.4651 v4 · 2011-08-23 · nlin.CD · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7VCDT652PTFXC3LYMWNC3XD4Z}

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	2026-05-18T02:00:49.178199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fea21cfddd3e65b8b6bc32cd16ee3e6798049c6601ba6810c74a2bd149cea00

Aliases

arxiv: 1108.4651 · arxiv_version: 1108.4651v4 · doi: 10.48550/arxiv.1108.4651 · pith_short_12: F7VCDT652PTF · pith_short_16: F7VCDT652PTFXC3L · pith_short_8: F7VCDT65

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/F7VCDT652PTFXC3LYMWNC3XD4Z \
  | 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: 2fea21cfddd3e65b8b6bc32cd16ee3e6798049c6601ba6810c74a2bd149cea00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aab75bfea932366506951545e8e0b2a6b8d1e328e3a3f2bd2e972f7a74c58d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-08-23T16:35:05Z",
    "title_canon_sha256": "2a6688c619a66dfac8f30462045ce6f0e03dbe3b78ea9c8e11a2aebdd5c65bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4651",
    "kind": "arxiv",
    "version": 4
  }
}