Pith Number

pith:U2G3MO6V

pith:2012:U2G3MO6VNO4RQXCAOXPCGHOUK3

not attested not anchored not stored refs pending

The K-theory of toric varieties in positive characteristic

Charles A. Weibel, Christian Haesemeyer, Guillermo Corti\~nas, Mark E. Walker

arxiv:1207.2891 v1 · 2012-07-12 · math.KT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2G3MO6VNO4RQXCAOXPCGHOUK3}

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	2026-05-18T02:57:53.381889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68db63bd56bb9185c4075de231dd456db7987678977851be78b59ff511edfbd

Aliases

arxiv: 1207.2891 · arxiv_version: 1207.2891v1 · doi: 10.48550/arxiv.1207.2891 · pith_short_12: U2G3MO6VNO4R · pith_short_16: U2G3MO6VNO4RQXCA · pith_short_8: U2G3MO6V

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/U2G3MO6VNO4RQXCAOXPCGHOUK3 \
  | 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: a68db63bd56bb9185c4075de231dd456db7987678977851be78b59ff511edfbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a986139856c610e8feba68fae0479968d4e1cb29a4c6d7ea643264d53b4315e",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-07-12T09:34:48Z",
    "title_canon_sha256": "fa93b504ad7603b1bb4361267c9210e060013ad35699ddc0a899dc0182eb71f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2891",
    "kind": "arxiv",
    "version": 1
  }
}