Pith Number

pith:LKEJW6XE

pith:2026:LKEJW6XE2TCEDURQNJBEH64SMG

not attested not anchored not stored refs pending

The Sylow Divisor Condition: a Resolution of Erd\H{o}s Problem 768

Eric Li (Trinity College, University of Cambridge)

arxiv:2606.24872 v1 · 2026-06-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKEJW6XE2TCEDURQNJBEH64SMG}

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	2026-06-24T01:15:45.086460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a889b7ae4d4c441d2306a4243fb9261be4d2cb61071e52af7a07f8fd851f0c2

Aliases

arxiv: 2606.24872 · arxiv_version: 2606.24872v1 · doi: 10.48550/arxiv.2606.24872 · pith_short_12: LKEJW6XE2TCE · pith_short_16: LKEJW6XE2TCEDURQ · pith_short_8: LKEJW6XE

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/LKEJW6XE2TCEDURQNJBEH64SMG \
  | 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: 5a889b7ae4d4c441d2306a4243fb9261be4d2cb61071e52af7a07f8fd851f0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feadf393f5e2cf4322f2c9f30be1855f385df55bbcc14ac88243bd60807c8fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-23T17:51:30Z",
    "title_canon_sha256": "b8551f4872e58fb1a5fe71d346f0ce6fd0b399d1dbf320f2074d9bd422c0f403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24872",
    "kind": "arxiv",
    "version": 1
  }
}