Pith Number

pith:6MHUZWKS

pith:2004:6MHUZWKS7ZGGE4WAA2HJEITUZP

not attested not anchored not stored refs pending

Variational principles for involutive systems of vector fields

G. Gaeta, P. Morando

arxiv:math-ph/0406039 v1 · 2004-06-18 · 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{6MHUZWKS7ZGGE4WAA2HJEITUZP}

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	2026-05-18T01:38:33.443906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f30f4cd952fe4c6272c0068e922274cbd8b2081bf8f07fa3dd1c005d171d5512

Aliases

arxiv: math-ph/0406039 · arxiv_version: math-ph/0406039v1 · doi: 10.48550/arxiv.math-ph/0406039 · pith_short_12: 6MHUZWKS7ZGG · pith_short_16: 6MHUZWKS7ZGGE4WA · pith_short_8: 6MHUZWKS

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/6MHUZWKS7ZGGE4WAA2HJEITUZP \
  | 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: f30f4cd952fe4c6272c0068e922274cbd8b2081bf8f07fa3dd1c005d171d5512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c381bfff75862c90b70bc6e5ee2f02af14dc945db66580bfe72d5779b0abda86",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-06-18T12:41:43Z",
    "title_canon_sha256": "1c066bad3c419a6d30f3dd0990de4501418d9edc1f81d390eceff1db8ecbb74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0406039",
    "kind": "arxiv",
    "version": 1
  }
}