Pith Number

pith:MSMJBI33

pith:2010:MSMJBI33KJ5LOMMHSK7FBLQUUF

not attested not anchored not stored refs pending

Hamiltonian Structure of Gauge-Invariant Variational Problems

Jaime Munoz Masque, Marco Castrillon Lopez

arxiv:1004.4923 v1 · 2010-04-27 · 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{MSMJBI33KJ5LOMMHSK7FBLQUUF}

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	2026-05-18T02:24:15.641733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649890a37b527ab7318792be50ae14a162eeb2aeebb2519d6879c023a6d7f210

Aliases

arxiv: 1004.4923 · arxiv_version: 1004.4923v1 · doi: 10.48550/arxiv.1004.4923 · pith_short_12: MSMJBI33KJ5L · pith_short_16: MSMJBI33KJ5LOMMH · pith_short_8: MSMJBI33

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/MSMJBI33KJ5LOMMHSK7FBLQUUF \
  | 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: 649890a37b527ab7318792be50ae14a162eeb2aeebb2519d6879c023a6d7f210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3429621aca1ac430a03cf77e2328b6fc293d92b3524dffb88defab4e1825555",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-27T23:04:38Z",
    "title_canon_sha256": "4ba6b7ec5cdf1f0698d4281d188e181f0b86bc7ccdd56b5337e762da611adc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4923",
    "kind": "arxiv",
    "version": 1
  }
}