Pith Number

pith:GGTQJ5UH

pith:2016:GGTQJ5UHELMERG7UJXT5R63PY4

not attested not anchored not stored refs pending

Minimal cubic surfaces over finite fields

Andrey Trepalin, Sergey Rybakov

arxiv:1611.02475 v2 · 2016-11-08 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGTQJ5UHELMERG7UJXT5R63PY4}

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	2026-05-18T00:26:01.704153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a704f68722d8489bf44de7d8fb6fc705e075dbda4c437644e2b12677eea63f

Aliases

arxiv: 1611.02475 · arxiv_version: 1611.02475v2 · doi: 10.48550/arxiv.1611.02475 · pith_short_12: GGTQJ5UHELME · pith_short_16: GGTQJ5UHELMERG7U · pith_short_8: GGTQJ5UH

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/GGTQJ5UHELMERG7UJXT5R63PY4 \
  | 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: 31a704f68722d8489bf44de7d8fb6fc705e075dbda4c437644e2b12677eea63f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e03931e0885479052cabf4e2c1af7fac7083f52da5e0535d24b2cce970e950e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-08T11:12:58Z",
    "title_canon_sha256": "61516f89ec58ae4ff41dfd292302be918069bbd27ce4c278f725dbc2679047a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02475",
    "kind": "arxiv",
    "version": 2
  }
}