Pith Number

pith:24UMXF4L

pith:2006:24UMXF4LTZQCEZWNDMGJYLAHNU

not attested not anchored not stored refs pending

A variational formulation of analytical mechanics in an affine space

Antonio De Nicola, Wlodzimierz M. Tulczyjew

arxiv:math-ph/0607013 v4 · 2006-07-10 · 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{24UMXF4LTZQCEZWNDMGJYLAHNU}

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	2026-05-18T01:38:32.758788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d728cb978b9e602266cd1b0c9c2c076d1914960f8a067835e73d0c6647cdb232

Aliases

arxiv: math-ph/0607013 · arxiv_version: math-ph/0607013v4 · doi: 10.48550/arxiv.math-ph/0607013 · pith_short_12: 24UMXF4LTZQC · pith_short_16: 24UMXF4LTZQCEZWN · pith_short_8: 24UMXF4L

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/24UMXF4LTZQCEZWNDMGJYLAHNU \
  | 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: d728cb978b9e602266cd1b0c9c2c076d1914960f8a067835e73d0c6647cdb232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f240966d968b30744f949b23e806c9551feff46f085bad3a9ebb04173a455fb0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-07-10T16:25:00Z",
    "title_canon_sha256": "b3c9089dbf98b638814ef3aa6af677a629ad6603dbcd390234dc5c856402cbb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0607013",
    "kind": "arxiv",
    "version": 4
  }
}