Pith Number

pith:F7KLK63H

pith:2009:F7KLK63HV7UOHP45J23WTWL7YV

not attested not anchored not stored refs pending

Relaxation equations for two-dimensional turbulent flows with a prior vorticity distribution

A. Naso, B. Dubrulle, P.H. Chavanis

arxiv:0912.5096 v3 · 2009-12-27 · 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{F7KLK63HV7UOHP45J23WTWL7YV}

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	2026-05-18T02:24:45.347642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd4b57b67afe8e3bf9d4eb769d97fc56c469ce0eca763a1dfd055f3fe4b335c

Aliases

arxiv: 0912.5096 · arxiv_version: 0912.5096v3 · doi: 10.48550/arxiv.0912.5096 · pith_short_12: F7KLK63HV7UO · pith_short_16: F7KLK63HV7UOHP45 · pith_short_8: F7KLK63H

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/F7KLK63HV7UOHP45J23WTWL7YV \
  | 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: 2fd4b57b67afe8e3bf9d4eb769d97fc56c469ce0eca763a1dfd055f3fe4b335c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33a9c0c6e2506d80f5be591e5b9539f8480c0896102d16862a269ee6eb0af4dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2009-12-27T18:07:43Z",
    "title_canon_sha256": "0b040cf3c838db69cc3e9b9d2f424b41fb2ba3e5d714132c027ae674866d3c66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5096",
    "kind": "arxiv",
    "version": 3
  }
}