Pith Number

pith:YNY3GRPH

pith:2012:YNY3GRPH7GLAB3DWSDJFF7UQVE

not attested not anchored not stored refs pending

Counting rational points over number fields on a singular cubic surface

Christopher Frei

arxiv:1204.0383 v2 · 2012-04-02 · 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{YNY3GRPH7GLAB3DWSDJFF7UQVE}

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	2026-05-18T03:08:14.680287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c371b345e7f99600ec7690d252fe90a9247468f28bd3bccf66ba9fdc2920ed71

Aliases

arxiv: 1204.0383 · arxiv_version: 1204.0383v2 · doi: 10.48550/arxiv.1204.0383 · pith_short_12: YNY3GRPH7GLA · pith_short_16: YNY3GRPH7GLAB3DW · pith_short_8: YNY3GRPH

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/YNY3GRPH7GLAB3DWSDJFF7UQVE \
  | 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: c371b345e7f99600ec7690d252fe90a9247468f28bd3bccf66ba9fdc2920ed71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908f90ac50b3896f758cc2e89a6439b233cd09aabcd69983f7f3ddde68f3c639",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-02T12:17:48Z",
    "title_canon_sha256": "cb1d4c426853d9c6d2501b86f8da536d20ce57bb9f1a4de979e3a21a471c8a97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0383",
    "kind": "arxiv",
    "version": 2
  }
}