Pith Number

pith:2WVFSUGY

pith:2011:2WVFSUGYNJ3KZ6FAOE5YDZDA2H

not attested not anchored not stored refs pending

Lie reduction and exact solutions of vorticity equation on rotating sphere

Alexander Bihlo, Roman O. Popovych

arxiv:1112.3019 v2 · 2011-12-13 · math-ph · math.MP · physics.ao-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WVFSUGYNJ3KZ6FAOE5YDZDA2H}

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	2026-05-18T01:59:10.634540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5aa5950d86a76acf8a0713b81e460d1f2d4dd8665349c2c0a79bc822f9655d8

Aliases

arxiv: 1112.3019 · arxiv_version: 1112.3019v2 · doi: 10.48550/arxiv.1112.3019 · pith_short_12: 2WVFSUGYNJ3K · pith_short_16: 2WVFSUGYNJ3KZ6FA · pith_short_8: 2WVFSUGY

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/2WVFSUGYNJ3KZ6FAOE5YDZDA2H \
  | 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: d5aa5950d86a76acf8a0713b81e460d1f2d4dd8665349c2c0a79bc822f9655d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fead3fc0bcfdec01ed3d5bf87a3c9b1059732d377a61066d2f622341f29a5edf",
    "cross_cats_sorted": [
      "math.MP",
      "physics.ao-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-13T20:19:27Z",
    "title_canon_sha256": "37c099ed79312d13b86bcd56f798b127d4d896e766bdda7139c6779b4be4ecef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3019",
    "kind": "arxiv",
    "version": 2
  }
}