Pith Number

pith:275W7HMS

pith:2013:275W7HMS6XWQJQJ64HWCCFHX5F

not attested not anchored not stored refs pending

Divisors class groups of singular surfaces

Claudia Polini, Robin Hartshorne

arxiv:1301.3222 v1 · 2013-01-15 · math.AC · 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{275W7HMS6XWQJQJ64HWCCFHX5F}

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	2026-05-18T03:36:26.180419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7fb6f9d92f5ed04c13ee1ec2114f7e94f13f60c60f98192d32444a89b54800f

Aliases

arxiv: 1301.3222 · arxiv_version: 1301.3222v1 · doi: 10.48550/arxiv.1301.3222 · pith_short_12: 275W7HMS6XWQ · pith_short_16: 275W7HMS6XWQJQJ6 · pith_short_8: 275W7HMS

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/275W7HMS6XWQJQJ64HWCCFHX5F \
  | 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: d7fb6f9d92f5ed04c13ee1ec2114f7e94f13f60c60f98192d32444a89b54800f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81fb9687c9fd5d79e74492d012cff2c1dfc77a6c665486f844726fbb0cec9805",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-15T04:26:44Z",
    "title_canon_sha256": "0e4c1d48f3a60ddccc8a4affa4107cf0a5f967da57cf9e55803d0b8be2ce2266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3222",
    "kind": "arxiv",
    "version": 1
  }
}