Pith Number

pith:L35EQUUL

pith:2010:L35EQUUL7LYVF73WR2LY2PTI2M

not attested not anchored not stored refs pending

The canonical module of a Cox ring

Kazuhiko Kurano, Mitsuyasu Hashimoto

arxiv:1007.3327 v3 · 2010-07-20 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L35EQUUL7LYVF73WR2LY2PTI2M}

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	2026-05-18T02:29:30.283710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5efa48528bfaf152ff768e978d3e68d33d0e842f4fd2a639bb47740ecbc25a09

Aliases

arxiv: 1007.3327 · arxiv_version: 1007.3327v3 · doi: 10.48550/arxiv.1007.3327 · pith_short_12: L35EQUUL7LYV · pith_short_16: L35EQUUL7LYVF73W · pith_short_8: L35EQUUL

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/L35EQUUL7LYVF73WR2LY2PTI2M \
  | 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: 5efa48528bfaf152ff768e978d3e68d33d0e842f4fd2a639bb47740ecbc25a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a93cc841b40f2cbd39463c3a11ab44d73a800f780a5ac18e51fe1bbe9587aac7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-20T03:19:53Z",
    "title_canon_sha256": "96ac05d5d7658e94ebfc51b3f91a9fdad813849ad78324affad5da7ef0ab35e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3327",
    "kind": "arxiv",
    "version": 3
  }
}