Pith Number

pith:TTQPWXKF

pith:2016:TTQPWXKFVO6YYGMDWOSQGRCN4A

not attested not anchored not stored refs pending

On the Enumeration of Irreducible Polynomials over $\text{GF}(q)$ with Prescribed Coefficients

Robert Granger

arxiv:1610.06878 v3 · 2016-10-21 · math.AG · 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{TTQPWXKFVO6YYGMDWOSQGRCN4A}

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	2026-05-17T23:56:48.794325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce0fb5d45abbd8c1983b3a503444de0102ca51593a925dde2a4f5e85772c2e1

Aliases

arxiv: 1610.06878 · arxiv_version: 1610.06878v3 · doi: 10.48550/arxiv.1610.06878 · pith_short_12: TTQPWXKFVO6Y · pith_short_16: TTQPWXKFVO6YYGMD · pith_short_8: TTQPWXKF

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/TTQPWXKFVO6YYGMDWOSQGRCN4A \
  | 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: 9ce0fb5d45abbd8c1983b3a503444de0102ca51593a925dde2a4f5e85772c2e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f2c898eb4aa1c5dc3845b92186c5816429c830344d1e74d458b37385e758d5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-21T17:50:03Z",
    "title_canon_sha256": "08d08a86e702d617a8fe5200ebd5cb81e42189de16526d36234641a4d30cffe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06878",
    "kind": "arxiv",
    "version": 3
  }
}