Pith Number

pith:DHOH45KE

pith:2010:DHOH45KE4IBFESMDISSHK2DD6M

not attested not anchored not stored refs pending

A characteristic free criterion of birationality

A. Simis, A. V. D\'oria, S. H. Hassanzadeh

arxiv:1101.0197 v1 · 2010-12-31 · 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{DHOH45KE4IBFESMDISSHK2DD6M}

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	2026-05-18T03:59:14.005193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19dc7e7544e20252498344a4756863f323fb2b42df06d792c2011e50eaf769ca

Aliases

arxiv: 1101.0197 · arxiv_version: 1101.0197v1 · doi: 10.48550/arxiv.1101.0197 · pith_short_12: DHOH45KE4IBF · pith_short_16: DHOH45KE4IBFESMD · pith_short_8: DHOH45KE

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/DHOH45KE4IBFESMDISSHK2DD6M \
  | 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: 19dc7e7544e20252498344a4756863f323fb2b42df06d792c2011e50eaf769ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ab03470cf9cca775a796670e9f721b58402555884bb66d73d325fab2bbdf55a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-31T03:57:57Z",
    "title_canon_sha256": "d716151c2f56d47055e4058c503227e7724197dde784ea246fb62bb50cc95331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0197",
    "kind": "arxiv",
    "version": 1
  }
}