Pith Number

pith:YGVKUW6A

pith:2017:YGVKUW6ASG3WQY5XPCBYQTY65B

not attested not anchored not stored refs pending

On $rth$ coefficient of divisors of $x^n-1$

Sai Teja Somu

arxiv:1710.10491 v1 · 2017-10-28 · 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{YGVKUW6ASG3WQY5XPCBYQTY65B}

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	2026-05-18T00:31:49.359330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1aaaa5bc091b76863b77883884f1ee857d8f010ee61148df84820d9aabd079d

Aliases

arxiv: 1710.10491 · arxiv_version: 1710.10491v1 · doi: 10.48550/arxiv.1710.10491 · pith_short_12: YGVKUW6ASG3W · pith_short_16: YGVKUW6ASG3WQY5X · pith_short_8: YGVKUW6A

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/YGVKUW6ASG3WQY5XPCBYQTY65B \
  | 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: c1aaaa5bc091b76863b77883884f1ee857d8f010ee61148df84820d9aabd079d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f7970ccdb48c1f6242a1978a622f6c887c13b50964712632dd0384f70e3490",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-28T16:42:08Z",
    "title_canon_sha256": "bbf5edc1f8ad351a449b6372c1b986169280d2f7b7783f3cbae64e74b7e9c396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10491",
    "kind": "arxiv",
    "version": 1
  }
}