Pith Number

pith:FOTL32NO

pith:2014:FOTL32NOSYKNKOEYASLPJPU3LX

not attested not anchored not stored refs pending

Infinite energy solutions of the two-dimensional Navier-Stokes equations

Thierry Gallay

arxiv:1411.5156 v1 · 2014-11-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOTL32NOSYKNKOEYASLPJPU3LX}

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	2026-05-18T02:34:44.265734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ba6bde9ae9614d538980496f4be9b5dea0f92ec1ff07aaa49b88eec19c1c665

Aliases

arxiv: 1411.5156 · arxiv_version: 1411.5156v1 · doi: 10.48550/arxiv.1411.5156 · pith_short_12: FOTL32NOSYKN · pith_short_16: FOTL32NOSYKNKOEY · pith_short_8: FOTL32NO

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/FOTL32NOSYKNKOEYASLPJPU3LX \
  | 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: 2ba6bde9ae9614d538980496f4be9b5dea0f92ec1ff07aaa49b88eec19c1c665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e51e42a8e6467e9d9f325a3d340a74b75000c78ae93707232622097aa43964a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-19T09:24:00Z",
    "title_canon_sha256": "52dfb467421b4208c97a0a2207c32f0fbe11944cabe860d5d0c98dffc8cf7458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5156",
    "kind": "arxiv",
    "version": 1
  }
}