Pith Number

pith:MKM4ZF2X

pith:2008:MKM4ZF2XFEJKOSK4WB377A7NOY

not attested not anchored not stored refs pending

Action-angle coordinates for integrable systems on Poisson manifolds

Camille Laurent-Gengoux, Eva Miranda, Pol Vanhaecke

arxiv:0805.1679 v2 · 2008-05-12 · math.SG · 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{MKM4ZF2XFEJKOSK4WB377A7NOY}

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.

Cited by

1 paper in Pith

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions

Receipt and verification

First computed	2026-05-18T03:37:09.636786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6299cc97572912a7495cb077ff83ed761493318634e34df96048fd1db9b180bc

Aliases

arxiv: 0805.1679 · arxiv_version: 0805.1679v2 · doi: 10.48550/arxiv.0805.1679 · pith_short_12: MKM4ZF2XFEJK · pith_short_16: MKM4ZF2XFEJKOSK4 · pith_short_8: MKM4ZF2X

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/MKM4ZF2XFEJKOSK4WB377A7NOY \
  | 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: 6299cc97572912a7495cb077ff83ed761493318634e34df96048fd1db9b180bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82136e455b9149dd1ebecac723fadab9222594a65ff402ec219691f61db0fcb6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-05-12T16:18:31Z",
    "title_canon_sha256": "69d207dac29c9a636581d943d3c33fa1aec76c4f460c7e08feaf2d848fde3af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1679",
    "kind": "arxiv",
    "version": 2
  }
}