Pith Number

pith:GVEAETQU

pith:2017:GVEAETQURJRQHFG4WDQSHWWCSI

not attested not anchored not stored refs pending

Computing minimal generating systems for some special toric ideals

Dimitrios I. Dais, Ioannis Markakis

arxiv:1705.06339 v3 · 2017-05-17 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVEAETQURJRQHFG4WDQSHWWCSI}

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	2026-05-18T00:40:39.985598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3548024e148a630394dcb0e123dac2923ff88af3f1a16987c32b89a82cb3ecaf

Aliases

arxiv: 1705.06339 · arxiv_version: 1705.06339v3 · doi: 10.48550/arxiv.1705.06339 · pith_short_12: GVEAETQURJRQ · pith_short_16: GVEAETQURJRQHFG4 · pith_short_8: GVEAETQU

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/GVEAETQURJRQHFG4WDQSHWWCSI \
  | 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: 3548024e148a630394dcb0e123dac2923ff88af3f1a16987c32b89a82cb3ecaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b006a3a3465f8abb428f274759415bfc2f22c0d7495f23c75e8391b31bc868",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-17T20:29:31Z",
    "title_canon_sha256": "ddcc54c05251e16dd5df971558d883f65a14b0b68b84c61c676b9a933fa1af02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06339",
    "kind": "arxiv",
    "version": 3
  }
}