Pith Number

pith:K7WZMKKV

pith:2017:K7WZMKKV4HT67XQSYMGVWUCYXX

not attested not anchored not stored refs pending

On permutation trinomials of type $x^{2p^s+r}+x^{p^{s}+r} +\lambda x^r$

Daniele Bartoli, Giovanni Zini

arxiv:1705.06486 v1 · 2017-05-18 · math.CO · 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{K7WZMKKV4HT67XQSYMGVWUCYXX}

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	2026-05-18T00:44:14.577372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57ed962955e1e7efde12c30d5b5058bdcf7b8fa9c357bdc73886533f0f858c30

Aliases

arxiv: 1705.06486 · arxiv_version: 1705.06486v1 · doi: 10.48550/arxiv.1705.06486 · pith_short_12: K7WZMKKV4HT6 · pith_short_16: K7WZMKKV4HT67XQS · pith_short_8: K7WZMKKV

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/K7WZMKKV4HT67XQSYMGVWUCYXX \
  | 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: 57ed962955e1e7efde12c30d5b5058bdcf7b8fa9c357bdc73886533f0f858c30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff760f49c5307f45a3f9be8228a1d69ffd17a4e6fc42b4285edda8fc51a4d3e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-18T09:07:39Z",
    "title_canon_sha256": "ec24f33fab87e6e59153add4be178c4b2021e46b65afa3040a28d16c5f7e5d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06486",
    "kind": "arxiv",
    "version": 1
  }
}