Pith Number

pith:URJN4ZVZ

pith:2003:URJN4ZVZNXYNGEM2HA2QY644BT

not attested not anchored not stored refs pending

A variational principle for volume-preserving dynamics

G. Gaeta, P. Morando

arxiv:math-ph/0305031 v1 · 2003-05-14 · math-ph · math.DG · 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{URJN4ZVZNXYNGEM2HA2QY644BT}

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	2026-05-18T01:38:33.796683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a452de66b96df0d3119a38350c7b9c0cddc916eb569d08188dfe57f7ef869760

Aliases

arxiv: math-ph/0305031 · arxiv_version: math-ph/0305031v1 · doi: 10.48550/arxiv.math-ph/0305031 · pith_short_12: URJN4ZVZNXYN · pith_short_16: URJN4ZVZNXYNGEM2 · pith_short_8: URJN4ZVZ

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/URJN4ZVZNXYNGEM2HA2QY644BT \
  | 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: a452de66b96df0d3119a38350c7b9c0cddc916eb569d08188dfe57f7ef869760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a0f81ff89d4dc561c11b60998711af3a4a20c420717f661962f251a763117ff",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-05-14T21:22:57Z",
    "title_canon_sha256": "7d15d756e0c43b3a0013549cec095d63840aa2d536004388b6af4d3d5182f26e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0305031",
    "kind": "arxiv",
    "version": 1
  }
}