Pith Number

pith:O7V47CDA

pith:2004:O7V47CDAZVCNN2D2LP3E64QZQI

not attested not anchored not stored refs pending

Periodic solutions for completely resonant nonlinear wave equations

Guido Gentile, Michela Procesi, Vieri Mastropietro

arxiv:math/0402262 v1 · 2004-02-16 · math.DS · 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{O7V47CDAZVCNN2D2LP3E64QZQI}

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	2026-05-18T01:38:28.562561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ebcf8860cd44d6e87a5bf64f72198228c50d79c2f67e5f07deb2da105d954e

Aliases

arxiv: math/0402262 · arxiv_version: math/0402262v1 · doi: 10.48550/arxiv.math/0402262 · pith_short_12: O7V47CDAZVCN · pith_short_16: O7V47CDAZVCNN2D2 · pith_short_8: O7V47CDA

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/O7V47CDAZVCNN2D2LP3E64QZQI \
  | 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: 77ebcf8860cd44d6e87a5bf64f72198228c50d79c2f67e5f07deb2da105d954e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3840250c41fb6e8cd6862be707ad503608b22b5c06374edc431b8d54f375497e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-02-16T18:08:36Z",
    "title_canon_sha256": "5f960e65d8c1739f5174de704578a37b88ff3f40ae676ab9d59e7fcef2b1b937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402262",
    "kind": "arxiv",
    "version": 1
  }
}