Pith Number

pith:45UOCCZM

pith:2017:45UOCCZMV26MI5RHPOJPCNAOZD

not attested not anchored not stored refs pending

Hidden Order behind Two Dimensional Random Vortices

Chien-chia Liu

arxiv:1703.06026 v3 · 2017-03-17 · nlin.AO · cond-mat.soft · 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{45UOCCZMV26MI5RHPOJPCNAOZD}

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	2026-05-18T00:41:53.069193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e768e10b2caebcc476277b92f1340ec8c7d79b061d042e6a1fdd769a1f706d43

Aliases

arxiv: 1703.06026 · arxiv_version: 1703.06026v3 · doi: 10.48550/arxiv.1703.06026 · pith_short_12: 45UOCCZMV26M · pith_short_16: 45UOCCZMV26MI5RH · pith_short_8: 45UOCCZM

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/45UOCCZMV26MI5RHPOJPCNAOZD \
  | 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: e768e10b2caebcc476277b92f1340ec8c7d79b061d042e6a1fdd769a1f706d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d7137776cfc8211932b989e5309175d5393776d61bf2c2826b0b40a14050e8",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2017-03-17T14:26:05Z",
    "title_canon_sha256": "9e92c1660c75113ae4e868a6df81c2d086a5959e924e01e0de71aaef0b210c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06026",
    "kind": "arxiv",
    "version": 3
  }
}