Pith Number

pith:IEUJTGRJ

pith:2007:IEUJTGRJUCPES43BC2AQQARYQO

not attested not anchored not stored refs pending

The age grading and the Chen-Ruan cup product

Richard A. Hepworth

arxiv:0706.4326 v3 · 2007-06-28 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEUJTGRJUCPES43BC2AQQARYQO}

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	2026-05-18T04:40:46.597178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4128999a29a09e497361168108023883b1445f674c940d088bde7b75b12be081

Aliases

arxiv: 0706.4326 · arxiv_version: 0706.4326v3 · doi: 10.48550/arxiv.0706.4326 · pith_short_12: IEUJTGRJUCPE · pith_short_16: IEUJTGRJUCPES43B · pith_short_8: IEUJTGRJ

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/IEUJTGRJUCPES43BC2AQQARYQO \
  | 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: 4128999a29a09e497361168108023883b1445f674c940d088bde7b75b12be081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61308dd7e8a7d6b1d81962357d313efe02e1769974ddab3b61d29a3122d12f42",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-06-28T21:50:07Z",
    "title_canon_sha256": "26e1e20fef1d723fb5ba145f4f9ff7da36bfa6538bdae7fcd3e1c8ad56804f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4326",
    "kind": "arxiv",
    "version": 3
  }
}