Pith Number

pith:ZTYA76KD

pith:2014:ZTYA76KDGGII2LDSDEWR6RAKHP

not attested not anchored not stored refs pending

On the saturation number for cubic surfaces

Yuchao Wang

arxiv:1408.0402 v2 · 2014-08-02 · math.NT · 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{ZTYA76KDGGII2LDSDEWR6RAKHP}

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	2026-05-18T01:37:05.708680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf00ff94331908d2c72192d1f440a3beaba938d3d869afc4b258750d02803a4

Aliases

arxiv: 1408.0402 · arxiv_version: 1408.0402v2 · doi: 10.48550/arxiv.1408.0402 · pith_short_12: ZTYA76KDGGII · pith_short_16: ZTYA76KDGGII2LDS · pith_short_8: ZTYA76KD

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/ZTYA76KDGGII2LDSDEWR6RAKHP \
  | 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: ccf00ff94331908d2c72192d1f440a3beaba938d3d869afc4b258750d02803a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02983463d0cc1c417d8450ef8c638b2eb601a3ec8bb5e51cfc17892f042dfab8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-02T17:31:42Z",
    "title_canon_sha256": "bc8cefdfd10ee48bc12296649510b13c23ad45faff60cf387562462c94482cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0402",
    "kind": "arxiv",
    "version": 2
  }
}