Pith Number

pith:L47O3H3G

pith:2010:L47O3H3GUQHVXFKVNGOJLD5AQN

not attested not anchored not stored refs pending

The Vortex-Wave equation with a single vortex as the limit of the Euler equation

Clayton Bjorland

arxiv:1010.0023 v1 · 2010-09-30 · 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{L47O3H3GUQHVXFKVNGOJLD5AQN}

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	2026-05-18T02:05:12.890330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3eed9f66a40f5b9555699c958fa083661f9396b861ab20f65eb01ffa94722b

Aliases

arxiv: 1010.0023 · arxiv_version: 1010.0023v1 · doi: 10.48550/arxiv.1010.0023 · pith_short_12: L47O3H3GUQHV · pith_short_16: L47O3H3GUQHVXFKV · pith_short_8: L47O3H3G

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/L47O3H3GUQHVXFKVNGOJLD5AQN \
  | 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: 5f3eed9f66a40f5b9555699c958fa083661f9396b861ab20f65eb01ffa94722b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e854f70583afd4e197f79ca2de144b3770c7ff7123ca5603dbe85ba56f55748d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-30T21:56:51Z",
    "title_canon_sha256": "31dbdfc595e326cb5565a75ceb43334d0af70fc110b3bbc48116271f61aaf99a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0023",
    "kind": "arxiv",
    "version": 1
  }
}