Pith Number

pith:P5W5LAQQ

pith:2009:P5W5LAQQPEPLGCYTJLGRQKFIRH

not attested not anchored not stored refs pending

Multigraded Factorial Rings and Fano varieties with torus action

Elaine Herppich, Hendrik S\"u{\ss}, Juergen Hausen

arxiv:0910.3607 v2 · 2009-10-19 · 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{P5W5LAQQPEPLGCYTJLGRQKFIRH}

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	2026-05-18T04:23:34.409617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6dd58210791eb30b134acd1828a889f2ccdbe8ffe141125d5e3417469b2da4

Aliases

arxiv: 0910.3607 · arxiv_version: 0910.3607v2 · doi: 10.48550/arxiv.0910.3607 · pith_short_12: P5W5LAQQPEPL · pith_short_16: P5W5LAQQPEPLGCYT · pith_short_8: P5W5LAQQ

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/P5W5LAQQPEPLGCYTJLGRQKFIRH \
  | 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: 7f6dd58210791eb30b134acd1828a889f2ccdbe8ffe141125d5e3417469b2da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d334d6dad4521fe3e2515b090bce9382b513d0936395d7ce74130ab1d66289",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-19T16:48:55Z",
    "title_canon_sha256": "6712e2f56a3cb2d95aea213cb7b158f91929d11e654b156e3ed12f0ae2f08d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3607",
    "kind": "arxiv",
    "version": 2
  }
}