Pith Number

pith:QKDZHZV2

pith:2025:QKDZHZV2F67L35DPDAYYGOWAES

not attested not anchored not stored refs pending

On a Conjecture of Erd\H{o}s over Function Fields

Likun Xie

arxiv:2510.17612 v3 · 2025-10-20 · 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{QKDZHZV2F67L35DPDAYYGOWAES}

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

Products of prime ideals in ray class groups

Receipt and verification

First computed	2026-07-07T02:19:41.516984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828793e6ba2fbebdf46f1831833ac02495d0ff943dccefb3e848e2eefcc9dcf8

Aliases

arxiv: 2510.17612 · arxiv_version: 2510.17612v3 · doi: 10.48550/arxiv.2510.17612 · pith_short_12: QKDZHZV2F67L · pith_short_16: QKDZHZV2F67L35DP · pith_short_8: QKDZHZV2

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/QKDZHZV2F67L35DPDAYYGOWAES \
  | 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: 828793e6ba2fbebdf46f1831833ac02495d0ff943dccefb3e848e2eefcc9dcf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea3a4fd91eb567620241a7de05c83d2de9fb3aefd219c478ed6e4d5c4a2d77a2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-20T14:59:01Z",
    "title_canon_sha256": "e3629e72539e50d881c1bf21bdeb1e65be7777dfa1fa9c2035b47decfde247d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.17612",
    "kind": "arxiv",
    "version": 3
  }
}