Pith Number

pith:SJBDXYZT

pith:2001:SJBDXYZT3NSHVLX5EDARVDLPXX

not attested not anchored not stored refs pending

Finite group discretization of Yang-Mills and Einstein actions

Chiara Pagani, Leonardo Castellani

arxiv:hep-th/0109163 v1 · 2001-09-20 · hep-th · gr-qc · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJBDXYZT3NSHVLX5EDARVDLPXX}

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	2026-05-18T01:38:50.403577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92423be333db647aaefd20c11a8d6fbdf657c4370b7d92ccc9d3fb3dc4aa6403

Aliases

arxiv: hep-th/0109163 · arxiv_version: hep-th/0109163v1 · doi: 10.48550/arxiv.hep-th/0109163 · pith_short_12: SJBDXYZT3NSH · pith_short_16: SJBDXYZT3NSHVLX5 · pith_short_8: SJBDXYZT

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/SJBDXYZT3NSHVLX5EDARVDLPXX \
  | 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: 92423be333db647aaefd20c11a8d6fbdf657c4370b7d92ccc9d3fb3dc4aa6403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc5add16f14fc990bd2ef38de918ce1c9630b02f1d9001bf2f90d8ac054c6ab",
    "cross_cats_sorted": [
      "gr-qc",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-09-20T15:21:11Z",
    "title_canon_sha256": "af55235adf5977d491b2474ed72874cde4a5758cc9fa2a4ceb7773246fcdd4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0109163",
    "kind": "arxiv",
    "version": 1
  }
}