Pith Number

pith:VZY2IBCX

pith:2012:VZY2IBCXHQ3X4HT7JO7HBYXVJ5

not attested not anchored not stored refs pending

On regular groups and fields

Krzysztof Krupinski, Tomasz Gogacz

arxiv:1211.3852 v1 · 2012-11-16 · math.LO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZY2IBCXHQ3X4HT7JO7HBYXVJ5}

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	2026-05-18T03:40:37.828594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae71a404573c377e1e7f4bbe70e2f54f4f97d0a185a6b568d6f7512b5c1a3f75

Aliases

arxiv: 1211.3852 · arxiv_version: 1211.3852v1 · doi: 10.48550/arxiv.1211.3852 · pith_short_12: VZY2IBCXHQ3X · pith_short_16: VZY2IBCXHQ3X4HT7 · pith_short_8: VZY2IBCX

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/VZY2IBCXHQ3X4HT7JO7HBYXVJ5 \
  | 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: ae71a404573c377e1e7f4bbe70e2f54f4f97d0a185a6b568d6f7512b5c1a3f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfd350c188dfead1adbb594cde3ef98e3b5dbb721199198984433df372593fb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-11-16T10:47:49Z",
    "title_canon_sha256": "f8aea9c68a8306b6256461e551148f1a08270c3cfe38524ca0245488f2f773c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3852",
    "kind": "arxiv",
    "version": 1
  }
}