Pith Number

pith:WWNJGZAX

pith:2012:WWNJGZAXAONRX6ET355UDAYOCN

not attested not anchored not stored refs pending

On Euler's equation and `EPDiff'

David Mumford, Peter W. Michor

arxiv:1209.6576 v3 · 2012-09-28 · math.AP · 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{WWNJGZAXAONRX6ET355UDAYOCN}

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	2026-05-18T02:20:00.570759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59a936417039b1bf893df7b41830e134423cdf7bf5f203b22ffc3dc289c403d

Aliases

arxiv: 1209.6576 · arxiv_version: 1209.6576v3 · doi: 10.48550/arxiv.1209.6576 · pith_short_12: WWNJGZAXAONR · pith_short_16: WWNJGZAXAONRX6ET · pith_short_8: WWNJGZAX

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/WWNJGZAXAONRX6ET355UDAYOCN \
  | 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: b59a936417039b1bf893df7b41830e134423cdf7bf5f203b22ffc3dc289c403d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997bac36cc53011737d8e009cfc0f97da95637de3f251064b1695be212093bb1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-28T17:42:36Z",
    "title_canon_sha256": "049507ae1e0acc6074bd7ef70b82a998141eb54e665bf380d94096fe56134aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6576",
    "kind": "arxiv",
    "version": 3
  }
}