Pith Number

pith:4NUTP2E7

pith:2004:4NUTP2E7PMWTXBCALELYMM73MD

not attested not anchored not stored refs pending

On some aspects of the geometry of differential equations in physics

Miguel C. Mu\~noz-Lecanda, Narciso Rom\'an-Roy, Xavier Gr\`acia

arxiv:math-ph/0402030 v1 · 2004-02-12 · 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{4NUTP2E7PMWTXBCALELYMM73MD}

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	2026-05-18T01:17:26.537896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36937e89f7b2d3b844059178633fb60e94007ec62831fb47c84aa64679204cc

Aliases

arxiv: math-ph/0402030 · arxiv_version: math-ph/0402030v1 · doi: 10.48550/arxiv.math-ph/0402030 · pith_short_12: 4NUTP2E7PMWT · pith_short_16: 4NUTP2E7PMWTXBCA · pith_short_8: 4NUTP2E7

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/4NUTP2E7PMWTXBCALELYMM73MD \
  | 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: e36937e89f7b2d3b844059178633fb60e94007ec62831fb47c84aa64679204cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c750849298218714bee8a2c89b3d32ff79bdb0f94eebd073fe4c574b225970",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-02-12T10:59:11Z",
    "title_canon_sha256": "a5dcf5cd25d79197ad63e1501248053666df0d6660c5690b647de34a71b9b3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0402030",
    "kind": "arxiv",
    "version": 1
  }
}