Pith Number

pith:GYCAT5CC

pith:2012:GYCAT5CC4ZAX7WBKZ27A5KYFKP

not attested not anchored not stored refs pending

The Euler and Navier-Stokes equations on the hyperbolic plane

Boris Khesin, Gerard Misiolek

arxiv:1205.5322 v1 · 2012-05-24 · math.AP · math-ph · math.DG · 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{GYCAT5CC4ZAX7WBKZ27A5KYFKP}

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	2026-05-18T01:57:18.092566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360409f442e6417fd82acebe0eab0553f85a82b5d1b406b17fde4b4bcd3a32a3

Aliases

arxiv: 1205.5322 · arxiv_version: 1205.5322v1 · doi: 10.48550/arxiv.1205.5322 · pith_short_12: GYCAT5CC4ZAX · pith_short_16: GYCAT5CC4ZAX7WBK · pith_short_8: GYCAT5CC

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/GYCAT5CC4ZAX7WBKZ27A5KYFKP \
  | 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: 360409f442e6417fd82acebe0eab0553f85a82b5d1b406b17fde4b4bcd3a32a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20369858573ebcfb7625fb190e6343c34106ff53a5a139b2caff3e90c0081a0d",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-24T02:44:30Z",
    "title_canon_sha256": "709d523ee03f32285d7f3ff42417c36b79fbfaa419b7af4bf8ffe99182efc96c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5322",
    "kind": "arxiv",
    "version": 1
  }
}