Pith Number

pith:ZXKBXHYF

pith:2011:ZXKBXHYFFQMFNJPHSOQAIASZH2

not attested not anchored not stored refs pending

Quasi-periodic solutions for nonlinear wave equations (announcement)

Wei-Min Wang

arxiv:1102.1248 v2 · 2011-02-07 · 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{ZXKBXHYFFQMFNJPHSOQAIASZH2}

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	2026-05-18T01:37:06.075271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd41b9f052c1856a5e793a00402593e9c3e9bdca2f29104d4276157f6e2dc20

Aliases

arxiv: 1102.1248 · arxiv_version: 1102.1248v2 · doi: 10.48550/arxiv.1102.1248 · pith_short_12: ZXKBXHYFFQMF · pith_short_16: ZXKBXHYFFQMFNJPH · pith_short_8: ZXKBXHYF

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/ZXKBXHYFFQMFNJPHSOQAIASZH2 \
  | 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: cdd41b9f052c1856a5e793a00402593e9c3e9bdca2f29104d4276157f6e2dc20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa811ddf9680b40203757abf9ad2888a6a7425c39aff26496a659d969942870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-07T09:08:41Z",
    "title_canon_sha256": "a5f4c8ddd90d98bbc9d79b279134ef1427e0c43dfba1a02817262ebb2d95c2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1248",
    "kind": "arxiv",
    "version": 2
  }
}