Pith Number

pith:YKZ3RKUU

pith:2007:YKZ3RKUUGSFH3WFQP4M6AVRKFK

not attested not anchored not stored refs pending

Finite Heisenberg Groups from Nonabelian Orbifold Quiver Gauge Theories

Benjamin A. Burrington, James T. Liu, Leopoldo A. Pando Zayas

arxiv:hep-th/0701028 v1 · 2007-01-03 · 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{YKZ3RKUUGSFH3WFQP4M6AVRKFK}

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	2026-07-04T15:25:20.771407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b3b8aa94348a7dd8b07f19e0562a2a8f69685222fc67aa85373d853d8fbbdc

Aliases

arxiv: hep-th/0701028 · arxiv_version: hep-th/0701028v1 · doi: 10.48550/arxiv.hep-th/0701028 · pith_short_12: YKZ3RKUUGSFH · pith_short_16: YKZ3RKUUGSFH3WFQ · pith_short_8: YKZ3RKUU

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/YKZ3RKUUGSFH3WFQP4M6AVRKFK \
  | 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: c2b3b8aa94348a7dd8b07f19e0562a2a8f69685222fc67aa85373d853d8fbbdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14bdc9e263294eafc12c44cbac986d8b575c3d716f99021ef64faf75d697c936",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-01-03T18:37:40Z",
    "title_canon_sha256": "2173e0979fbfc35db01d383f3d4558968ac197bb373f808d97535b1e8f78ff21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0701028",
    "kind": "arxiv",
    "version": 1
  }
}