Pith Number

pith:HT54RVIT

pith:2009:HT54RVITOVZSQWZECQ2DWOKV7S

not attested not anchored not stored refs pending

Indispensable binomials in semigroup ideals

Alberto Vigneron-Tenorio, Ignacio Ojeda

arxiv:0903.1030 v2 · 2009-03-05 · 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{HT54RVITOVZSQWZECQ2DWOKV7S}

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	2026-05-18T04:41:35.969363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfbc8d5137573285b2414343b3955fcb0911e9b8888449be0e826b0a2ecc66f

Aliases

arxiv: 0903.1030 · arxiv_version: 0903.1030v2 · doi: 10.48550/arxiv.0903.1030 · pith_short_12: HT54RVITOVZS · pith_short_16: HT54RVITOVZSQWZE · pith_short_8: HT54RVIT

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/HT54RVITOVZSQWZECQ2DWOKV7S \
  | 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: 3cfbc8d5137573285b2414343b3955fcb0911e9b8888449be0e826b0a2ecc66f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5832424c4238f439936f5d82dd9c10101b7e3755135b2587c5fad1b5ef15444d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-03-05T16:52:56Z",
    "title_canon_sha256": "7732f5ce03f0d80257a7f4d831e50999266cc546fc089a271d0ef027928b277b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1030",
    "kind": "arxiv",
    "version": 2
  }
}