Pith Number

pith:GBVOAIPT

pith:2013:GBVOAIPTVTMB32FIUJKLJJB62Q

not attested not anchored not stored refs pending

Toric ideals and diagonal 2-minors

Anargyros Katsabekis

arxiv:1308.4308 v3 · 2013-08-20 · 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{GBVOAIPTVTMB32FIUJKLJJB62Q}

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	2026-05-18T01:10:38.960146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306ae021f3acd81de8a8a254b4a43ed40ee250898a437e0d2a037b8dd6c736b1

Aliases

arxiv: 1308.4308 · arxiv_version: 1308.4308v3 · doi: 10.48550/arxiv.1308.4308 · pith_short_12: GBVOAIPTVTMB · pith_short_16: GBVOAIPTVTMB32FI · pith_short_8: GBVOAIPT

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/GBVOAIPTVTMB32FIUJKLJJB62Q \
  | 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: 306ae021f3acd81de8a8a254b4a43ed40ee250898a437e0d2a037b8dd6c736b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361cce26ce5101fb4a0d09e187488d829e60f683876d7d9d5d640fc5c193d220",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-20T13:47:08Z",
    "title_canon_sha256": "4c73dabf0901c413cb52672624f93a9a61697c0ba29fe610540e2d225ccdaa34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4308",
    "kind": "arxiv",
    "version": 3
  }
}