Pith Number

pith:5GT7B7YK

pith:2017:5GT7B7YKGFS2UFGM4S33CX5EDP

not attested not anchored not stored refs pending

Rational points in families of varieties

Martin Bright

arxiv:1711.05231 v2 · 2017-11-14 · 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{5GT7B7YKGFS2UFGM4S33CX5EDP}

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	2026-05-18T00:25:41.585607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a7f0ff0a3165aa14cce4b7b15fa41bef9614d9a602c18215e98783edf1ba60

Aliases

arxiv: 1711.05231 · arxiv_version: 1711.05231v2 · doi: 10.48550/arxiv.1711.05231 · pith_short_12: 5GT7B7YKGFS2 · pith_short_16: 5GT7B7YKGFS2UFGM · pith_short_8: 5GT7B7YK

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/5GT7B7YKGFS2UFGM4S33CX5EDP \
  | 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: e9a7f0ff0a3165aa14cce4b7b15fa41bef9614d9a602c18215e98783edf1ba60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc3d37f43c10ee19396271cbbe240f519cd136332b452e0cf93188a0e9198b2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-14T18:13:22Z",
    "title_canon_sha256": "ec5a9b8a4ec2a3dc9330158797f1300fbe1081a99ff12c65da2be8bfdf927446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05231",
    "kind": "arxiv",
    "version": 2
  }
}