Pith Number

pith:PXTTU4AF

pith:2015:PXTTU4AFNF6ND6EX2NWLIFLBBB

not attested not anchored not stored refs pending

On the Benjamin--Lighthill conjecture for water waves with vorticity

Evgeniy Lokharu, Nikolay Kuznetsov, Vladimir Kozlov

arxiv:1511.02818 v1 · 2015-11-06 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXTTU4AFNF6ND6EX2NWLIFLBBB}

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	2026-05-18T01:27:29.278785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de73a7005697cd1f897d36cb41561085bfbaa294e9f3b1e70bade23dbf4f14f

Aliases

arxiv: 1511.02818 · arxiv_version: 1511.02818v1 · doi: 10.48550/arxiv.1511.02818 · pith_short_12: PXTTU4AFNF6N · pith_short_16: PXTTU4AFNF6ND6EX · pith_short_8: PXTTU4AF

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/PXTTU4AFNF6ND6EX2NWLIFLBBB \
  | 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: 7de73a7005697cd1f897d36cb41561085bfbaa294e9f3b1e70bade23dbf4f14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4655172a63b0f0f6f814448ce9925b24b2755d8e9abd728b330779ec762a35a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-06T14:08:37Z",
    "title_canon_sha256": "9c73a50b5ef2471f27f752ce861a529d8b2355022f0d7d9ac3aeb19e0fb364d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02818",
    "kind": "arxiv",
    "version": 1
  }
}