Pith Number

pith:RH3FNVAD

pith:2025:RH3FNVADF5YACFVB5CB6SVETQC

not attested not anchored not stored refs pending

The geometry of Frobenius on toric varieties

Emre Alp \"Ozavc{\i}, Javier Carvajal-Rojas

arxiv:2506.02994 v1 · 2025-06-03 · 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{RH3FNVADF5YACFVB5CB6SVETQC}

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	2026-07-05T11:15:13.035835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f656d4032f700116a1e883e9549380a7fd36d89d064a25e54e106abee2bbae

Aliases

arxiv: 2506.02994 · arxiv_version: 2506.02994v1 · doi: 10.48550/arxiv.2506.02994 · pith_short_12: RH3FNVADF5YA · pith_short_16: RH3FNVADF5YACFVB · pith_short_8: RH3FNVAD

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/RH3FNVADF5YACFVB5CB6SVETQC \
  | 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: 89f656d4032f700116a1e883e9549380a7fd36d89d064a25e54e106abee2bbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91fc4a3368396a029580c065af99939e98bcb9c54952cce30e531059b7e64859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-03T15:29:40Z",
    "title_canon_sha256": "f79100cca4c648b92c35f75344fa919d7923a2ce064797559864c0531c0aedbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02994",
    "kind": "arxiv",
    "version": 1
  }
}