Pith Number

pith:D6AUJ43P

pith:2011:D6AUJ43P6XZCWRYBQVYZXKCSNJ

not attested not anchored not stored refs pending

Group Analysis of Nonlinear Internal Waves in Oceans. II: The symmetries and rotationally invariant solution

Nail H. Ibragimov, Ranis N. Ibragimov, Vladimir F. Kovalev

arxiv:1108.1963 v1 · 2011-08-09 · 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{D6AUJ43P6XZCWRYBQVYZXKCSNJ}

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	2026-05-18T04:15:50.824484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f8144f36ff5f22b470185719ba8526a5a505e692e2aa29d5b01cabeac1549b0

Aliases

arxiv: 1108.1963 · arxiv_version: 1108.1963v1 · doi: 10.48550/arxiv.1108.1963 · pith_short_12: D6AUJ43P6XZC · pith_short_16: D6AUJ43P6XZCWRYB · pith_short_8: D6AUJ43P

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/D6AUJ43P6XZCWRYBQVYZXKCSNJ \
  | 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: 1f8144f36ff5f22b470185719ba8526a5a505e692e2aa29d5b01cabeac1549b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f17122f6b8d45a83230c8d3dfa72b1ba7376073284a76c7b2216169fba36398",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-09T15:48:43Z",
    "title_canon_sha256": "9cfb8de49ad10ec81fd92f8a1a8eeb37e08fc8d46b5a8c98c8a048939a096f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1963",
    "kind": "arxiv",
    "version": 1
  }
}