Pith Number

pith:XYZ2LTFA

pith:2013:XYZ2LTFAHUWJJNHRFQROWYXKD7

not attested not anchored not stored refs pending

Cauchy theory for the gravity water waves system with non localized initial data

Claude Zuily, Nicolas Burq, Thomas Alazard

arxiv:1305.0457 v2 · 2013-05-02 · 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{XYZ2LTFAHUWJJNHRFQROWYXKD7}

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	2026-05-18T02:54:12.773216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be33a5cca03d2c94b4f12c22eb62ea1fceceeb5189e7119c666e7127b893709b

Aliases

arxiv: 1305.0457 · arxiv_version: 1305.0457v2 · doi: 10.48550/arxiv.1305.0457 · pith_short_12: XYZ2LTFAHUWJ · pith_short_16: XYZ2LTFAHUWJJNHR · pith_short_8: XYZ2LTFA

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/XYZ2LTFAHUWJJNHRFQROWYXKD7 \
  | 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: be33a5cca03d2c94b4f12c22eb62ea1fceceeb5189e7119c666e7127b893709b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dc3359c849e7455e6ebf7af41b328d263ac4c15326a58f10046be01ab5a10c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-02T14:51:19Z",
    "title_canon_sha256": "bf7082c100284ed9a899836d1ef5bc9267afde8b7a76963ad159908aa527745a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0457",
    "kind": "arxiv",
    "version": 2
  }
}