Pith Number

pith:RYZL2L2F

pith:1999:RYZL2L2FYBKLLYGUSTEEED6TO2

not attested not anchored not stored refs pending

Lagrangian Reduction, the Euler--Poincar\'{e} Equations, and Semidirect Products

(2) Los Alamos National Laboratory, (3) Caltech, (4) EPFL, Argentina, Bahia Blanca, D. D. Holm (2), H. Cendra (1), J. E. Marsden (3), Lausanne), T. S. Ratiu (4) ((1) Universidad Nacional del Sur

arxiv:chao-dyn/9906004 v1 · 1999-05-31 · chao-dyn · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYZL2L2FYBKLLYGUSTEEED6TO2}

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

Distributed Pose Graph Optimization via Continuous Riemannian Dynamics

Receipt and verification

First computed	2026-07-04T14:17:31.368176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e32bd2f45c054b5e0d494c8420fd3768c80b19e9c9c37372a34917a803972c6

Aliases

arxiv: chao-dyn/9906004 · arxiv_version: chao-dyn/9906004v1 · doi: 10.48550/arxiv.chao-dyn/9906004 · pith_short_12: RYZL2L2FYBKL · pith_short_16: RYZL2L2FYBKLLYGU · pith_short_8: RYZL2L2F

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/RYZL2L2FYBKLLYGUSTEEED6TO2 \
  | 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: 8e32bd2f45c054b5e0d494c8420fd3768c80b19e9c9c37372a34917a803972c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3fe440807fd4895a35530fd5dbff8c6b401569cf0c622cbd726229d52d70963",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-05-31T15:58:18Z",
    "title_canon_sha256": "2133922da2fbfea2889f1d0f3711c32109b8cd91fadef34f2261b8199a437fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9906004",
    "kind": "arxiv",
    "version": 1
  }
}