Pith Number

pith:XK4GZQ7W

pith:2023:XK4GZQ7WGKUMELBLHYWFTHKA6U

not attested not anchored not stored refs pending

The Bombieri-Pila determinant method

Jared Duker Lichtman, Thomas F. Bloom

arxiv:2312.12890 v3 · 2023-12-20 · math.NT · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XK4GZQ7WGKUMELBLHYWFTHKA6U}

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.

Cited by

1 paper in Pith

Bounds on the exceptional set in the $abc$ conjecture

Receipt and verification

First computed	2026-07-05T11:43:54.000271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab86cc3f632a8c22c2b3e2c599d40f52bf23a811122f4cbe167ca6204422816

Aliases

arxiv: 2312.12890 · arxiv_version: 2312.12890v3 · doi: 10.48550/arxiv.2312.12890 · pith_short_12: XK4GZQ7WGKUM · pith_short_16: XK4GZQ7WGKUMELBL · pith_short_8: XK4GZQ7W

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/XK4GZQ7WGKUMELBLHYWFTHKA6U \
  | 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: bab86cc3f632a8c22c2b3e2c599d40f52bf23a811122f4cbe167ca6204422816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "296a9e85ea0d7bef960f50588baeddb3c16b9b20f396b1ccd4c981379110c591",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-20T10:02:57Z",
    "title_canon_sha256": "7182c2debb535726b4de7c70d08a7324b8955d3da4c7332215ffd50755df384b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.12890",
    "kind": "arxiv",
    "version": 3
  }
}