Pith Number

pith:VGS6DKGI

pith:2013:VGS6DKGIELQ546QRZYT5J4XLDA

not attested not anchored not stored refs pending

Sobolev estimates for two dimensional gravity water waves

Jean-Marc Delort (LAGA), Thomas Alazard (DMA)

arxiv:1307.3836 v1 · 2013-07-15 · 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{VGS6DKGIELQ546QRZYT5J4XLDA}

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	2026-05-18T03:18:27.733888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a5e1a8c822e1de7a11ce27d4f2eb183c290914fc90c573b8f65ec00df2fd14

Aliases

arxiv: 1307.3836 · arxiv_version: 1307.3836v1 · doi: 10.48550/arxiv.1307.3836 · pith_short_12: VGS6DKGIELQ5 · pith_short_16: VGS6DKGIELQ546QR · pith_short_8: VGS6DKGI

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/VGS6DKGIELQ546QRZYT5J4XLDA \
  | 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: a9a5e1a8c822e1de7a11ce27d4f2eb183c290914fc90c573b8f65ec00df2fd14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528107dfef3a230ba602ff163aa492d1ad57ea2d02dfc689d14bc4ca7b9ef129",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-15T07:15:27Z",
    "title_canon_sha256": "90907021ddd2d5c74540607fe10d708084fc96909b7f3f6967a3f316cea4f91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3836",
    "kind": "arxiv",
    "version": 1
  }
}