Pith Number

pith:UXVBWEPG

pith:1998:UXVBWEPG3CS2X5T6DA6QGMKHH6

not attested not anchored not stored refs pending

The Euler-Poincare Equations and Semidirect Products with Applications to Continuum Theories

(2) Caltech, (3) UC Santa Cruz), D. D. Holm (1), J. E. Marsden (2), T. S. Ratiu (3) ((1) Los Alamos National Laboratory

arxiv:chao-dyn/9801015 v1 · 1998-01-13 · 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{UXVBWEPG3CS2X5T6DA6QGMKHH6}

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	2026-07-04T14:17:28.352461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ea1b11e6d8a5abf67e183d0331473fb6fc372802c0c1fc3bc34019bfc68fe7

Aliases

arxiv: chao-dyn/9801015 · arxiv_version: chao-dyn/9801015v1 · doi: 10.48550/arxiv.chao-dyn/9801015 · pith_short_12: UXVBWEPG3CS2 · pith_short_16: UXVBWEPG3CS2X5T6 · pith_short_8: UXVBWEPG

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/UXVBWEPG3CS2X5T6DA6QGMKHH6 \
  | 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: a5ea1b11e6d8a5abf67e183d0331473fb6fc372802c0c1fc3bc34019bfc68fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32101ffed294b00d51160651c653425b59e0031a358bfdb5af0f170a11da64c5",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1998-01-13T10:50:09Z",
    "title_canon_sha256": "e991f70dc015b32134d71f440f3c0b01774a55ced18f168b9fcde37f90e75b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9801015",
    "kind": "arxiv",
    "version": 1
  }
}