Pith Number

pith:QJKX32TS

pith:2012:QJKX32TS6U2ZVF3AQL3BLRFUW4

not attested not anchored not stored refs pending

The role of spectral anisotropy in the resolution of the three-dimensional Navier-Stokes equations

Chlo\'e Mullaert (LJLL), Isabelle Gallagher (IMJ), Jean-Yves Chemin (LJLL)

arxiv:1205.6992 v1 · 2012-05-31 · 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{QJKX32TS6U2ZVF3AQL3BLRFUW4}

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	2026-05-18T03:54:36.415723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82557dea72f5359a976082f615c4b4b7219ab479527d90ca55a40bf7c716f234

Aliases

arxiv: 1205.6992 · arxiv_version: 1205.6992v1 · doi: 10.48550/arxiv.1205.6992 · pith_short_12: QJKX32TS6U2Z · pith_short_16: QJKX32TS6U2ZVF3A · pith_short_8: QJKX32TS

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/QJKX32TS6U2ZVF3AQL3BLRFUW4 \
  | 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: 82557dea72f5359a976082f615c4b4b7219ab479527d90ca55a40bf7c716f234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71ee952cb82df156c0cfd14f9129a0e3ac6a28a86b510f824ce0b03da846426",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-31T13:43:11Z",
    "title_canon_sha256": "a53b799ad458ecd5478fc596ed9275d21df677cf8573582269066a6917acb6a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6992",
    "kind": "arxiv",
    "version": 1
  }
}