Pith Number

pith:LBWCQM7F

pith:2012:LBWCQM7FLSL4ZA3LJGQ3HKBTC3

not attested not anchored not stored refs pending

A variational formulation of vertical slice models

C. J. Cotter, D. D. Holm

arxiv:1211.2067 v2 · 2012-11-09 · math.DS · 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{LBWCQM7FLSL4ZA3LJGQ3HKBTC3}

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	2026-05-18T01:53:17.628865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586c2833e55c97cc836b49a1b3a83316c2f9d50d846664c1af5f059b6a868768

Aliases

arxiv: 1211.2067 · arxiv_version: 1211.2067v2 · doi: 10.48550/arxiv.1211.2067 · pith_short_12: LBWCQM7FLSL4 · pith_short_16: LBWCQM7FLSL4ZA3L · pith_short_8: LBWCQM7F

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/LBWCQM7FLSL4ZA3LJGQ3HKBTC3 \
  | 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: 586c2833e55c97cc836b49a1b3a83316c2f9d50d846664c1af5f059b6a868768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5787b4ce66102376fa8562af64912c3dfe540dd150c2d64ee97e8b377a91b2e5",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-09T08:07:49Z",
    "title_canon_sha256": "11d886e36b15f9cf3931689afd72a1ba73761991a804d4388d8ccdffe30dbdcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2067",
    "kind": "arxiv",
    "version": 2
  }
}