Pith Number

pith:UMAR6XDF

pith:2016:UMAR6XDFN3BTA3M52P22SXTD7M

not attested not anchored not stored refs pending

Momentum Maps and Stochastic Clebsch Action Principles

A.B. Cruzeiro, D.D. Holm, T.S. Ratiu

arxiv:1604.04554 v3 · 2016-04-15 · 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{UMAR6XDFN3BTA3M52P22SXTD7M}

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	2026-05-17T23:56:30.470836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3011f5c656ec3306d9dd3f5a95e63fb018c463c20204a210cc195a084306eb0

Aliases

arxiv: 1604.04554 · arxiv_version: 1604.04554v3 · doi: 10.48550/arxiv.1604.04554 · pith_short_12: UMAR6XDFN3BT · pith_short_16: UMAR6XDFN3BTA3M5 · pith_short_8: UMAR6XDF

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/UMAR6XDFN3BTA3M52P22SXTD7M \
  | 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: a3011f5c656ec3306d9dd3f5a95e63fb018c463c20204a210cc195a084306eb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e601deae13f32e54f5e23bc36c71915a0965508fd1331e34c30c0e1f90bbb10",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-15T16:11:47Z",
    "title_canon_sha256": "2e2b6ce7b263970b9fb76b24a75758036c1443e1386285b919e0dc45d6e10b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04554",
    "kind": "arxiv",
    "version": 3
  }
}