Pith Number

pith:IFTZS2Q4

pith:2017:IFTZS2Q4EJJRULXHN5JRQGLTUF

not attested not anchored not stored refs pending

On the Complexity of Exact Counting of Dynamically Irreducible Polynomials

Domingo G\'omez-P\'erez, Igor E. Shparlinski, L\'aszl\'o M\'erai

arxiv:1706.04392 v2 · 2017-06-14 · math.NT · cs.SC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFTZS2Q4EJJRULXHN5JRQGLTUF}

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	2026-05-18T00:00:22.567826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4167996a1c22531a2ee76f53181973a14982b697f5068a89aec4f34439bf61fb

Aliases

arxiv: 1706.04392 · arxiv_version: 1706.04392v2 · doi: 10.48550/arxiv.1706.04392 · pith_short_12: IFTZS2Q4EJJR · pith_short_16: IFTZS2Q4EJJRULXH · pith_short_8: IFTZS2Q4

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/IFTZS2Q4EJJRULXHN5JRQGLTUF \
  | 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: 4167996a1c22531a2ee76f53181973a14982b697f5068a89aec4f34439bf61fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f798eaa0caffe721076fb75097568f29f2a24ff61f9676625a483c3fae79dc18",
    "cross_cats_sorted": [
      "cs.SC",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-14T10:18:09Z",
    "title_canon_sha256": "2cc059db4618cfc13700420c363bb90b6c4cb7a0e8f9762891031b321565dd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04392",
    "kind": "arxiv",
    "version": 2
  }
}