Pith Number

pith:7PZF4IES

pith:2015:7PZF4IESBMP3SUC2NN7HT4JX74

not attested not anchored not stored refs pending

On the distribution of numbers related to the divisors of $x^n-1$

Sai Teja Somu

arxiv:1511.03230 v1 · 2015-11-10 · 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{7PZF4IESBMP3SUC2NN7HT4JX74}

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	2026-05-18T01:27:16.728286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf25e20920b1fb9505a6b7e79f137ff0eb73ef215f9960a1d9f4bfe402bebd4

Aliases

arxiv: 1511.03230 · arxiv_version: 1511.03230v1 · doi: 10.48550/arxiv.1511.03230 · pith_short_12: 7PZF4IESBMP3 · pith_short_16: 7PZF4IESBMP3SUC2 · pith_short_8: 7PZF4IES

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/7PZF4IESBMP3SUC2NN7HT4JX74 \
  | 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: fbf25e20920b1fb9505a6b7e79f137ff0eb73ef215f9960a1d9f4bfe402bebd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c91412ee3c80eadbb7a28b3b48e34c420654c202d00e4798346e2ed311aa4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-10T19:06:36Z",
    "title_canon_sha256": "1cd4fc6b925e3c5ca0c0c6981111fbfefb90d668c958f876be31aa40af02688c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03230",
    "kind": "arxiv",
    "version": 1
  }
}