Pith Number

pith:Z4FHI3CW

pith:2012:Z4FHI3CWJQWAME53TGODHRC337

not attested not anchored not stored refs pending

On the Cauchy problem for gravity water waves

Claude Zuily (LM-Orsay), Nicolas Burq (LM-Orsay), Thomas Alazard (DMA)

arxiv:1212.0626 v2 · 2012-12-04 · 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{Z4FHI3CWJQWAME53TGODHRC337}

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	2026-05-18T02:54:12.857050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0a746c564c2c0613bb999c33c45bdfe112dad5b37c506779c776ae50aac488

Aliases

arxiv: 1212.0626 · arxiv_version: 1212.0626v2 · doi: 10.48550/arxiv.1212.0626 · pith_short_12: Z4FHI3CWJQWA · pith_short_16: Z4FHI3CWJQWAME53 · pith_short_8: Z4FHI3CW

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/Z4FHI3CWJQWAME53TGODHRC337 \
  | 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: cf0a746c564c2c0613bb999c33c45bdfe112dad5b37c506779c776ae50aac488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9c858d71a7b6d6940e7a5785e47463a26ddd93e713713442608684b1d66748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-04T07:14:07Z",
    "title_canon_sha256": "24d3b220633a31cc23466a35956d650a4f2aad8d2cf97bdf94a67b58af0b120d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0626",
    "kind": "arxiv",
    "version": 2
  }
}