Pith Number

pith:5DBFXEWF

pith:2012:5DBFXEWFHJWUD7EQWNFGA2ZARW

not attested not anchored not stored refs pending

Regularity of traveling periodic stratified water waves with vorticity

Ling-Jun Wang

arxiv:1202.3225 v1 · 2012-02-15 · 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{5DBFXEWFHJWUD7EQWNFGA2ZARW}

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	2026-05-18T04:02:14.353729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c25b92c53a6d41fc90b34a606b208da9cb742402ce0a80491b2fcde5e6eae1

Aliases

arxiv: 1202.3225 · arxiv_version: 1202.3225v1 · doi: 10.48550/arxiv.1202.3225 · pith_short_12: 5DBFXEWFHJWU · pith_short_16: 5DBFXEWFHJWUD7EQ · pith_short_8: 5DBFXEWF

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/5DBFXEWFHJWUD7EQWNFGA2ZARW \
  | 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: e8c25b92c53a6d41fc90b34a606b208da9cb742402ce0a80491b2fcde5e6eae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc98e3c52586ad97b44c793a6307a6d3ca76f72b63679d195a6a9b06c069467b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-15T08:06:52Z",
    "title_canon_sha256": "41d197e64533c7877b2b9798b68ccdf841e8dd30fccc56188d6df3772539eafc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3225",
    "kind": "arxiv",
    "version": 1
  }
}