Pith Number

pith:GDBZPTTJ

pith:2019:GDBZPTTJUJWP4RRV3UEELPBU43

not attested not anchored not stored refs pending

Number of irreducible polynomials whose compositions with monic monomials have large irreducible factors

Sabina B. Pannek

arxiv:1903.10846 v1 · 2019-03-26 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDBZPTTJUJWP4RRV3UEELPBU43}

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	2026-05-17T23:50:17.567212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c397ce69a26cfe4635dd0845bc34e6c9794e3ec61cb8c93d136ae8a153c9ef

Aliases

arxiv: 1903.10846 · arxiv_version: 1903.10846v1 · doi: 10.48550/arxiv.1903.10846 · pith_short_12: GDBZPTTJUJWP · pith_short_16: GDBZPTTJUJWP4RRV · pith_short_8: GDBZPTTJ

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/GDBZPTTJUJWP4RRV3UEELPBU43 \
  | 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: 30c397ce69a26cfe4635dd0845bc34e6c9794e3ec61cb8c93d136ae8a153c9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff11a7e7e9942b9c301177332f855964304042108bfd05b223c169c471c5d6db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-26T13:02:05Z",
    "title_canon_sha256": "5e7c5c65f9b722505832c367193e23ffb156c8689642250b6c23ec2807d1676e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10846",
    "kind": "arxiv",
    "version": 1
  }
}