Pith Number

pith:7ZIYKGKB

pith:2013:7ZIYKGKBHONT3CB63IUISOADMA

not attested not anchored not stored refs pending

Constructible characters and b-invariants

C\'edric Bonnaf\'e (I3M)

arxiv:1302.2721 v3 · 2013-02-12 · math.RT · 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{7ZIYKGKBHONT3CB63IUISOADMA}

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	2026-05-18T02:00:59.285393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe518519413b9b3d883eda2889380360033662499d476a69c181ea792a921fff

Aliases

arxiv: 1302.2721 · arxiv_version: 1302.2721v3 · doi: 10.48550/arxiv.1302.2721 · pith_short_12: 7ZIYKGKBHONT · pith_short_16: 7ZIYKGKBHONT3CB6 · pith_short_8: 7ZIYKGKB

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/7ZIYKGKBHONT3CB63IUISOADMA \
  | 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: fe518519413b9b3d883eda2889380360033662499d476a69c181ea792a921fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753268e37674271eb9ac1f14ed07c151bf1f3860f388d79889288d87dbf4f257",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-12T07:19:37Z",
    "title_canon_sha256": "bc177e9422c67a61042d2befe7fdc2b32364987396485fc6492120a35447bad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2721",
    "kind": "arxiv",
    "version": 3
  }
}