Pith Number

pith:ZFC7IKLN

pith:2014:ZFC7IKLNQMOSD5P6YQ4ZFSWRT7

not attested not anchored not stored refs pending

A Natural Partial Order on The Prime Numbers

Lucian M. Ionescu

arxiv:1407.6659 v1 · 2014-07-14 · 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{ZFC7IKLNQMOSD5P6YQ4ZFSWRT7}

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	2026-05-18T02:46:38.264250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c945f4296d831d21f5fec43992cad19ff4622c93ce64bb7cc6cba6ed6ca30fdc

Aliases

arxiv: 1407.6659 · arxiv_version: 1407.6659v1 · doi: 10.48550/arxiv.1407.6659 · pith_short_12: ZFC7IKLNQMOS · pith_short_16: ZFC7IKLNQMOSD5P6 · pith_short_8: ZFC7IKLN

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/ZFC7IKLNQMOSD5P6YQ4ZFSWRT7 \
  | 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: c945f4296d831d21f5fec43992cad19ff4622c93ce64bb7cc6cba6ed6ca30fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3502908a635397cdc4428f12b1df30ec01c8d05473f585beb179eda2fa26887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-14T13:22:48Z",
    "title_canon_sha256": "ad6ffd7e9c7da956984ec91627294cfbfc3253a0794551510c99a08d78ef11be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6659",
    "kind": "arxiv",
    "version": 1
  }
}