Pith Number

pith:AF54R4JC

pith:2012:AF54R4JCV5UT67EAGQO44472AX

not attested not anchored not stored refs pending

Examples of weakly amenable discrete quantum groups

Amaury Freslon

arxiv:1207.1470 v4 · 2012-07-05 · 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{AF54R4JCV5UT67EAGQO44472AX}

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	2026-05-18T02:45:21.740521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017bc8f122af693f7c80341dce73fa05fd9bbc96e385760516d4a29824d70b10

Aliases

arxiv: 1207.1470 · arxiv_version: 1207.1470v4 · doi: 10.48550/arxiv.1207.1470 · pith_short_12: AF54R4JCV5UT · pith_short_16: AF54R4JCV5UT67EA · pith_short_8: AF54R4JC

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/AF54R4JCV5UT67EAGQO44472AX \
  | 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: 017bc8f122af693f7c80341dce73fa05fd9bbc96e385760516d4a29824d70b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4f4d97e46d70fa90382af0d29634a762c7952332c6cf52f2c461e6c1738f1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-07-05T21:48:37Z",
    "title_canon_sha256": "dd16d3c824715888faa83b35ff74ed884f3aee23eb8ae8ff78552a34bdfe4137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1470",
    "kind": "arxiv",
    "version": 4
  }
}