Pith Number

pith:WCRW2QXD

pith:1992:WCRW2QXDULHRGEPMP6MZLDBPAL

not attested not anchored not stored refs pending

Noncommutative Geometry and Gauge Theories on Discrete Groups

Andrzej Sitarz

arxiv:hep-th/9210098 v1 · 1992-10-19 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCRW2QXDULHRGEPMP6MZLDBPAL}

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	2026-05-18T01:38:43.236506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a36d42e3a2cf1311ec7f99958c2f02e19b0f41616eeaa1ec3d2bcf764fd096

Aliases

arxiv: hep-th/9210098 · arxiv_version: hep-th/9210098v1 · doi: 10.48550/arxiv.hep-th/9210098 · pith_short_12: WCRW2QXDULHR · pith_short_16: WCRW2QXDULHRGEPM · pith_short_8: WCRW2QXD

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/WCRW2QXDULHRGEPMP6MZLDBPAL \
  | 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: b0a36d42e3a2cf1311ec7f99958c2f02e19b0f41616eeaa1ec3d2bcf764fd096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba94e31e6d97ea0db1027d682c55f51586a63787abd297219ffbf41c144151d0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-10-19T08:53:11Z",
    "title_canon_sha256": "7b734cdc1075d6d2bfef47cdaa087008b69a3dbf648022c937439dc1148ddd9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9210098",
    "kind": "arxiv",
    "version": 1
  }
}