Pith Number

pith:NKHBKCSX

pith:2018:NKHBKCSXZC2CKSKW75ZFNG5CLU

not attested not anchored not stored refs pending

Defining the prime numbers prior to the integers: A first-principles approach to the distribution of primes

Kolbj{\o}rn Tunstr{\o}m

arxiv:1808.09447 v1 · 2018-08-28 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKHBKCSXZC2CKSKW75ZFNG5CLU}

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	2026-05-18T00:06:55.564303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8e150a57c8b4254956ff72569ba25d3ca2095523d5afeebd7acc317f29426b

Aliases

arxiv: 1808.09447 · arxiv_version: 1808.09447v1 · doi: 10.48550/arxiv.1808.09447 · pith_short_12: NKHBKCSXZC2C · pith_short_16: NKHBKCSXZC2CKSKW · pith_short_8: NKHBKCSX

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/NKHBKCSXZC2CKSKW75ZFNG5CLU \
  | 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: 6a8e150a57c8b4254956ff72569ba25d3ca2095523d5afeebd7acc317f29426b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b36bd869e8e45af0153567114a5cb647b974e19d2be6ed696a18343a884fcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-08-28T09:13:58Z",
    "title_canon_sha256": "99db0a96f495d29bd8c1536006db99cf526af9cb5d7fd9033404cbd5819512bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09447",
    "kind": "arxiv",
    "version": 1
  }
}