Pith Number

pith:IPFAWTLA

pith:2025:IPFAWTLATDUEDWI5IB6ASWCSTX

not attested not anchored not stored refs pending

Almost primes and primes that are sums of two squares plus one

Kunjakanan Nath, Likun Xie

arxiv:2501.16723 v2 · 2025-01-28 · 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{IPFAWTLATDUEDWI5IB6ASWCSTX}

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	2026-07-05T10:21:06.577211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ca0b4d6098e841d91d407c0958529de404a3d344fefabb7259421e35cef3d1

Aliases

arxiv: 2501.16723 · arxiv_version: 2501.16723v2 · doi: 10.48550/arxiv.2501.16723 · pith_short_12: IPFAWTLATDUE · pith_short_16: IPFAWTLATDUEDWI5 · pith_short_8: IPFAWTLA

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/IPFAWTLATDUEDWI5IB6ASWCSTX \
  | 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: 43ca0b4d6098e841d91d407c0958529de404a3d344fefabb7259421e35cef3d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4921308fe8cc725bfcefe54bdeb1aad058cb9a77f98c086cf0b8bfff666a820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-28T06:01:44Z",
    "title_canon_sha256": "d07b02733ca1b545e199f10d88c53a2c3435dc0a7852ab659146eec15b6bde3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16723",
    "kind": "arxiv",
    "version": 2
  }
}