Pith Number

pith:S6A5QP6G

pith:2001:S6A5QP6G662WMOCJJO5W3VFSEN

not attested not anchored not stored refs pending

The equivalence between the Hamiltonian and the Lagrangian formulations for the parametrization invariant theories

Sami I. Muslih

arxiv:math-ph/0102019 v1 · 2001-02-19 · 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{S6A5QP6G662WMOCJJO5W3VFSEN}

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	2026-05-18T04:24:36.518963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9781d83fc6f7b56638494bbb6dd4b2236a879a59b2b0f32e7f026034c1d1cb2b

Aliases

arxiv: math-ph/0102019 · arxiv_version: math-ph/0102019v1 · doi: 10.48550/arxiv.math-ph/0102019 · pith_short_12: S6A5QP6G662W · pith_short_16: S6A5QP6G662WMOCJ · pith_short_8: S6A5QP6G

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/S6A5QP6G662WMOCJJO5W3VFSEN \
  | 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: 9781d83fc6f7b56638494bbb6dd4b2236a879a59b2b0f32e7f026034c1d1cb2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddde0e85b7c3ecafe7a024a4b9300945b24e43cbdb64d59b3f01b26aa81b94ed",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-02-19T15:22:28Z",
    "title_canon_sha256": "166e49d5ef177da1899f4ba9644c5d60525dd4ecd37d2c9fbd30f05a043de919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0102019",
    "kind": "arxiv",
    "version": 1
  }
}