Pith Number

pith:QKFSBULT

pith:2017:QKFSBULTPVZ4ZLEOWCBWCD7226

not attested not anchored not stored refs pending

Using zeta functions to factor polynomials over finite fields

Bjorn Poonen

arxiv:1710.00970 v1 · 2017-10-03 · 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{QKFSBULTPVZ4ZLEOWCBWCD7226}

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	2026-05-18T00:33:47.349057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828b20d1737d73ccac8eb083610ffad7851dd611a079a46f3c7dbe68e436f85d

Aliases

arxiv: 1710.00970 · arxiv_version: 1710.00970v1 · doi: 10.48550/arxiv.1710.00970 · pith_short_12: QKFSBULTPVZ4 · pith_short_16: QKFSBULTPVZ4ZLEO · pith_short_8: QKFSBULT

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/QKFSBULTPVZ4ZLEOWCBWCD7226 \
  | 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: 828b20d1737d73ccac8eb083610ffad7851dd611a079a46f3c7dbe68e436f85d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0f93d66394f1014e7a3cfe62f3b45c31b2fbba6eeaacf4e5dfe4dd00b2192d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-03T03:26:09Z",
    "title_canon_sha256": "d22be0bc7eb8548477cf774b0afc3f521f49daa07da6e83ccbf403ce7bddc4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00970",
    "kind": "arxiv",
    "version": 1
  }
}