Pith Number

pith:ZB7UVEZH

pith:2009:ZB7UVEZH5AJ5T7VFAOOO2LKF7K

not attested not anchored not stored refs pending

The Square Root Depth Wave Equations

Colin C. Cotter, Darryl D. Holm, James R. Percival

arxiv:0912.2194 v1 · 2009-12-11 · physics.flu-dyn · 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{ZB7UVEZH5AJ5T7VFAOOO2LKF7K}

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	2026-05-18T02:10:24.564019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87f4a9327e813d9fea5039ced2d45fa97a642ab64c47724887e4e5bded9ace2

Aliases

arxiv: 0912.2194 · arxiv_version: 0912.2194v1 · doi: 10.48550/arxiv.0912.2194 · pith_short_12: ZB7UVEZH5AJ5 · pith_short_16: ZB7UVEZH5AJ5T7VF · pith_short_8: ZB7UVEZH

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/ZB7UVEZH5AJ5T7VFAOOO2LKF7K \
  | 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: c87f4a9327e813d9fea5039ced2d45fa97a642ab64c47724887e4e5bded9ace2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954c16030a1a676a24ade4e40e0a772e219ed6e35d841de147780d932a6d074a",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2009-12-11T10:45:36Z",
    "title_canon_sha256": "cd5ef137741f6f1a275fb403686da34ba34dcd975bff38704143f593b68f97d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2194",
    "kind": "arxiv",
    "version": 1
  }
}