Pith Number

pith:X2XQD26C

pith:2015:X2XQD26CITS44ZHNAA6CQM2H5H

not attested not anchored not stored refs pending

Smoothing Toric Fano Surfaces Using the Gross-Siebert Algorithm

Thomas Prince

arxiv:1504.05969 v3 · 2015-04-22 · 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{X2XQD26CITS44ZHNAA6CQM2H5H}

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	2026-05-18T00:12:57.282486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beaf01ebc244e5ce64ed003c283347e9d8e5ade0d5fdb8e1e02cbcacac632426

Aliases

arxiv: 1504.05969 · arxiv_version: 1504.05969v3 · doi: 10.48550/arxiv.1504.05969 · pith_short_12: X2XQD26CITS4 · pith_short_16: X2XQD26CITS44ZHN · pith_short_8: X2XQD26C

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/X2XQD26CITS44ZHNAA6CQM2H5H \
  | 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: beaf01ebc244e5ce64ed003c283347e9d8e5ade0d5fdb8e1e02cbcacac632426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ff1b81ed2077049f4d24e4ea6d49e9daaca87255b420153da69fe83cab55edc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-22T20:04:16Z",
    "title_canon_sha256": "b2da9c05365fe50f29dadc1f58dbf68d4937b11d746dc7a450fce9c9c4488dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05969",
    "kind": "arxiv",
    "version": 3
  }
}