Pith Number

pith:IN3ORJST

pith:2010:IN3ORJSTCACTR2RW23FS5JFALE

not attested not anchored not stored refs pending

A topological interpretation of the KZ system

Eduard Looijenga

arxiv:1003.2033 v6 · 2010-03-10 · math.QA · math.AG · 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{IN3ORJSTCACTR2RW23FS5JFALE}

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	2026-05-18T04:31:51.162341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4376e8a653100538ea36d6cb2ea4a0592950b27fce413fda85cda3f9f6f4473c

Aliases

arxiv: 1003.2033 · arxiv_version: 1003.2033v6 · doi: 10.48550/arxiv.1003.2033 · pith_short_12: IN3ORJSTCACT · pith_short_16: IN3ORJSTCACTR2RW · pith_short_8: IN3ORJST

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/IN3ORJSTCACTR2RW23FS5JFALE \
  | 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: 4376e8a653100538ea36d6cb2ea4a0592950b27fce413fda85cda3f9f6f4473c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59305bbd98809abb8f1f227134fd9ae8e8040522a2741dfe2a51c7c447901da",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-03-10T07:21:00Z",
    "title_canon_sha256": "1be12c1da3fb0f7135d457b96c58b9695e8c4b49bdb786ee9abd3fd72d3be872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2033",
    "kind": "arxiv",
    "version": 6
  }
}