Pith Number

pith:QBEIWMQ2

pith:2004:QBEIWMQ2FCVVGKTTATV3IHEQKX

not attested not anchored not stored refs pending

On the Clark-alpha model of turbulence: global regularity and long--time dynamics

C. Cao, D.D. Holm, E.S. Titi

arxiv:nlin/0412007 v1 · 2004-12-01 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBEIWMQ2FCVVGKTTATV3IHEQKX}

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	2026-05-18T01:38:18.857136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80488b321a28ab532a7304ebb41c9055cfc00510a761ee157b98ef3b480e9328

Aliases

arxiv: nlin/0412007 · arxiv_version: nlin/0412007v1 · doi: 10.48550/arxiv.nlin/0412007 · pith_short_12: QBEIWMQ2FCVV · pith_short_16: QBEIWMQ2FCVVGKTT · pith_short_8: QBEIWMQ2

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/QBEIWMQ2FCVVGKTTATV3IHEQKX \
  | 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: 80488b321a28ab532a7304ebb41c9055cfc00510a761ee157b98ef3b480e9328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf6147c1340506a9bbd1c72787b87b92460384e09c242741f2f2eb1f4b8ea87",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2004-12-01T16:04:49Z",
    "title_canon_sha256": "a931eba6e59c8ba73001adcd6f91f928dd06daf951185ae1d8892b9d2d63bcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0412007",
    "kind": "arxiv",
    "version": 1
  }
}