Pith Number

pith:IMLZAAMQ

pith:2011:IMLZAAMQL6ZT7HLVS2DTDNUL5H

not attested not anchored not stored refs pending

Fractional Dirac Bracket and Quantization for Constrained Systems

Cresus F. L. Godinho, Everton M. C. Abreu

arxiv:1102.4532 v3 · 2011-02-22 · hep-th · gr-qc · 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{IMLZAAMQL6ZT7HLVS2DTDNUL5H}

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	2026-05-18T02:03:06.509533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43179001905fb33f9d75968731b68be9ffc7516638022f69286400da10200ead

Aliases

arxiv: 1102.4532 · arxiv_version: 1102.4532v3 · doi: 10.48550/arxiv.1102.4532 · pith_short_12: IMLZAAMQL6ZT · pith_short_16: IMLZAAMQL6ZT7HLV · pith_short_8: IMLZAAMQ

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/IMLZAAMQL6ZT7HLVS2DTDNUL5H \
  | 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: 43179001905fb33f9d75968731b68be9ffc7516638022f69286400da10200ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161626897acd424adb9033ea2509ff72effbc9fb3e99404e4b83a95e558b8b24",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-02-22T15:18:57Z",
    "title_canon_sha256": "c1e9f66b3b17568aa5908c503a6c70423bd7fa759974676f6d3f81fafe692afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4532",
    "kind": "arxiv",
    "version": 3
  }
}