Pith Number

pith:AZJS3VIB

pith:2009:AZJS3VIB6GKS4VVQEVB5RVTHIT

not attested not anchored not stored refs pending

On the regular representation of an (essentially) finite 2-group

Josep Elgueta

arxiv:0907.0978 v1 · 2009-07-06 · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZJS3VIB6GKS4VVQEVB5RVTHIT}

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	2026-05-18T03:16:17.893573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06532dd501f1952e56b02543d8d66744c009c3952acba5941eba7acf2fdc8689

Aliases

arxiv: 0907.0978 · arxiv_version: 0907.0978v1 · doi: 10.48550/arxiv.0907.0978 · pith_short_12: AZJS3VIB6GKS · pith_short_16: AZJS3VIB6GKS4VVQ · pith_short_8: AZJS3VIB

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/AZJS3VIB6GKS4VVQEVB5RVTHIT \
  | 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: 06532dd501f1952e56b02543d8d66744c009c3952acba5941eba7acf2fdc8689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49f6519abfb97bd14aec5ca320affaa6ed94a5d59258d4132de4934b9730f38",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-07-06T12:46:13Z",
    "title_canon_sha256": "b3c108eeae4783473adf114856369f9cd36c6b2223be48762b1f08049f95855b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0978",
    "kind": "arxiv",
    "version": 1
  }
}