Pith Number

pith:GCAPXJQD

pith:2020:GCAPXJQDHEJCZR7K77JNSHGOGO

not attested not anchored not stored refs pending

Toric varieties from cyclic matrix semigroups

Francesco Galuppi, Mima Stanojkovski

arxiv:2002.02713 v3 · 2020-02-07 · 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{GCAPXJQDHEJCZR7K77JNSHGOGO}

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	2026-07-05T07:14:02.615607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3080fba60339122cc7eaffd2d91cce3396e30dbe96e84cd1a8360a1d27459625

Aliases

arxiv: 2002.02713 · arxiv_version: 2002.02713v3 · doi: 10.48550/arxiv.2002.02713 · pith_short_12: GCAPXJQDHEJC · pith_short_16: GCAPXJQDHEJCZR7K · pith_short_8: GCAPXJQD

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/GCAPXJQDHEJCZR7K77JNSHGOGO \
  | 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: 3080fba60339122cc7eaffd2d91cce3396e30dbe96e84cd1a8360a1d27459625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427a57c3c2906f331e62e9b1d4593bbf04672e08f92b15245f48e0e848f27a08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-02-07T10:59:04Z",
    "title_canon_sha256": "6a4c2c471f6be17d066224ed29aed4b72007e5d7e81bd60aae5b766b9b37946f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.02713",
    "kind": "arxiv",
    "version": 3
  }
}