Pith Number

pith:TTIZRIR5

pith:2013:TTIZRIR5FN3GLMSMO7ZMDAO33L

not attested not anchored not stored refs pending

Rational points on some Fermat curves and surfaces over finite fields

Jose Felipe Voloch, Michael E. Zieve

arxiv:1310.1772 v1 · 2013-10-07 · 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{TTIZRIR5FN3GLMSMO7ZMDAO33L}

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	2026-05-18T01:19:42.681128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd198a23d2b7665b24c77f2c181dbdac5478398fa7affb5e74a839db2561114

Aliases

arxiv: 1310.1772 · arxiv_version: 1310.1772v1 · doi: 10.48550/arxiv.1310.1772 · pith_short_12: TTIZRIR5FN3G · pith_short_16: TTIZRIR5FN3GLMSM · pith_short_8: TTIZRIR5

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/TTIZRIR5FN3GLMSMO7ZMDAO33L \
  | 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: 9cd198a23d2b7665b24c77f2c181dbdac5478398fa7affb5e74a839db2561114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a3dfa6485e938e6c76d58cfe3a0df250a0504b9f47c165dbbbee59677f830e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-07T13:17:34Z",
    "title_canon_sha256": "69a4e4c85741fc57d9dcc308dd201c38a61393e4890ace02008663d56927b7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1772",
    "kind": "arxiv",
    "version": 1
  }
}