Pith Number

pith:SWJWBTN5

pith:2026:SWJWBTN5SCAPIBOQUO6U7IPIEU

not attested not anchored not stored refs pending

Rigidity of Averages over the Two Largest Prime Factors

Dijia Chen

arxiv:2608.05191 v1 · 2026-08-02 · 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{SWJWBTN5SCAPIBOQUO6U7IPIEU}

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	2026-08-07T00:46:29.929392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959360cdbd9080f405d0a3bd4fa1e82526d7dbd25a22e19fee02064addd1a4db

Aliases

arxiv: 2608.05191 · arxiv_version: 2608.05191v1 · doi: 10.48550/arxiv.2608.05191 · pith_short_12: SWJWBTN5SCAP · pith_short_16: SWJWBTN5SCAPIBOQ · pith_short_8: SWJWBTN5

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/SWJWBTN5SCAPIBOQUO6U7IPIEU \
  | 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: 959360cdbd9080f405d0a3bd4fa1e82526d7dbd25a22e19fee02064addd1a4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8734e1c7d2ffed23491814fc130564770d0167d8f491c189c754a2b2f466fb41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-02T18:31:36Z",
    "title_canon_sha256": "f4a6c403af83530478a7f059f134769cd381c7d529eb996a6355468c84b01f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05191",
    "kind": "arxiv",
    "version": 1
  }
}