Pith Number

pith:2CMRCVFD

pith:2015:2CMRCVFDD7AYIOLBSLM3PFP6N4

not attested not anchored not stored refs pending

On the coefficients of divisors of $x^n-1$

Sai Teja Somu

arxiv:1511.03226 v2 · 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{2CMRCVFDD7AYIOLBSLM3PFP6N4}

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	2026-05-18T01:27:07.162014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0991154a31fc184396192d9b795fe6f2c6d1234a06d54322e0d1ced8afc2af7

Aliases

arxiv: 1511.03226 · arxiv_version: 1511.03226v2 · doi: 10.48550/arxiv.1511.03226 · pith_short_12: 2CMRCVFDD7AY · pith_short_16: 2CMRCVFDD7AYIOLB · pith_short_8: 2CMRCVFD

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/2CMRCVFDD7AYIOLBSLM3PFP6N4 \
  | 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: d0991154a31fc184396192d9b795fe6f2c6d1234a06d54322e0d1ced8afc2af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe50f5024f42c6ffa2e04e938f483a1a012352ce1b5b491e7df4e43324514a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-10T18:54:39Z",
    "title_canon_sha256": "6bcd38cf9e8321dc6b6af456eb3888e3d691c1d5d9d02400f7ebe3550b5fe3b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03226",
    "kind": "arxiv",
    "version": 2
  }
}