Pith Number

pith:HDZB2NAB

pith:2006:HDZB2NABGQCRG6S5H66LUDC3HG

not attested not anchored not stored refs pending

New quantum "az+b" groups

P. M. So{\l}tan

arxiv:math/0604622 v1 · 2006-04-28 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDZB2NABGQCRG6S5H66LUDC3HG}

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	2026-05-18T01:09:15.573278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f21d34013405137a5d3fbcba0c5b39a8cf470d4aaa15d668e4cfaa66f1fd7f

Aliases

arxiv: math/0604622 · arxiv_version: math/0604622v1 · doi: 10.48550/arxiv.math/0604622 · pith_short_12: HDZB2NABGQCR · pith_short_16: HDZB2NABGQCRG6S5 · pith_short_8: HDZB2NAB

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/HDZB2NABGQCRG6S5H66LUDC3HG \
  | 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: 38f21d34013405137a5d3fbcba0c5b39a8cf470d4aaa15d668e4cfaa66f1fd7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0344990acc7aa6b4389d232eff47bfba9f9130bd10306d7e4b64a34a7b969b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-04-28T06:19:51Z",
    "title_canon_sha256": "2cb92173931aa99fee5516a5dc32369a4b4f9174ff46d7f7310a89be5e157790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604622",
    "kind": "arxiv",
    "version": 1
  }
}