Pith Number

pith:XUPJ64DB

pith:1999:XUPJ64DB4FKPPFSQHH532QIQHA

not attested not anchored not stored refs pending

The Euler-Poincare Equations in Geophysical Fluid Dynamics

(2) Caltech, (3) EPFL Laussanne), Darryl D. Holm (1), Jerrold E. Marsden (2), Tudor S. Ratiu (3) ((1) Los Alamos

arxiv:chao-dyn/9903035 v1 · 1999-03-25 · 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{XUPJ64DB4FKPPFSQHH532QIQHA}

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	2026-07-04T14:17:30.842541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1e9f7061e154f7965039fbbd4110383e366ceec3aa33bc674e2575043d20dc

Aliases

arxiv: chao-dyn/9903035 · arxiv_version: chao-dyn/9903035v1 · doi: 10.48550/arxiv.chao-dyn/9903035 · pith_short_12: XUPJ64DB4FKP · pith_short_16: XUPJ64DB4FKPPFSQ · pith_short_8: XUPJ64DB

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/XUPJ64DB4FKPPFSQHH532QIQHA \
  | 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: bd1e9f7061e154f7965039fbbd4110383e366ceec3aa33bc674e2575043d20dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc61719f5874b720efabcf50cd2c6d6fb10670818d939e54edf2cda5203fbee3",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-03-25T21:45:23Z",
    "title_canon_sha256": "a4d7b175ce6553eb9750b3a744a6220d71d13e469504a4b2d6c8f8915c39a7da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9903035",
    "kind": "arxiv",
    "version": 1
  }
}