Pith Number

pith:OB5OGGLR

pith:2009:OB5OGGLRLF7UIX4Z74NKMFH6WW

not attested not anchored not stored refs pending

Combinatorics of Cremona monomial maps

Aron Simis, Rafael H. Villarreal

arxiv:0904.4065 v2 · 2009-04-26 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OB5OGGLRLF7UIX4Z74NKMFH6WW}

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	2026-05-18T03:58:26.765255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707ae31971597f445f99ff1aa614feb59aabec045820a2e11acace37344839db

Aliases

arxiv: 0904.4065 · arxiv_version: 0904.4065v2 · doi: 10.48550/arxiv.0904.4065 · pith_short_12: OB5OGGLRLF7U · pith_short_16: OB5OGGLRLF7UIX4Z · pith_short_8: OB5OGGLR

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/OB5OGGLRLF7UIX4Z74NKMFH6WW \
  | 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: 707ae31971597f445f99ff1aa614feb59aabec045820a2e11acace37344839db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98b31f8ba5b6e620d4e98f5e856057a0131a3feba28493c0893e4b6d0e9b0d9",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-26T21:43:16Z",
    "title_canon_sha256": "c9633bc4fbf30ca1f15d0541d04895fb6a9f10e786a37d8a84fa03137fe98936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4065",
    "kind": "arxiv",
    "version": 2
  }
}