Pith Number

pith:33XDPI3T

pith:1993:33XDPI3TNXDOZ2SYGG3XDETGNT

not attested not anchored not stored refs pending

Complexification of Gauge Theories

J.M. Mour\~ao, J.N. Tavares, R. Loll

arxiv:hep-th/9307142 v1 · 1993-07-22 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33XDPI3TNXDOZ2SYGG3XDETGNT}

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	2026-05-18T01:38:42.533853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deee37a3736dc6ecea5831b77192666cfc0d73691a383b58aa2e1f2ac5564e2b

Aliases

arxiv: hep-th/9307142 · arxiv_version: hep-th/9307142v1 · doi: 10.48550/arxiv.hep-th/9307142 · pith_short_12: 33XDPI3TNXDO · pith_short_16: 33XDPI3TNXDOZ2SY · pith_short_8: 33XDPI3T

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/33XDPI3TNXDOZ2SYGG3XDETGNT \
  | 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: deee37a3736dc6ecea5831b77192666cfc0d73691a383b58aa2e1f2ac5564e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5f7ef3864f93d9556a2671a5abb1f398a14235d8bd8d495579514d7675908ff",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-07-22T23:27:00Z",
    "title_canon_sha256": "329f09c8998275ba8f7c9b010b09184fe5696ac86c25777ea25720806e576db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9307142",
    "kind": "arxiv",
    "version": 1
  }
}