Pith Number

pith:IBPXMRJV

pith:2026:IBPXMRJVGBK223O7UY2UFKNECI

not attested not anchored not stored refs pending

A complete characterization of a family of permutation trinomials over $\mathbb F_{p^2}$

Marco Timpanella

arxiv:2606.08809 v1 · 2026-06-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBPXMRJVGBK223O7UY2UFKNECI}

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	2026-06-09T02:07:40.635435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405f7645353055ad6ddfa63542a9a412215c641c9bcb1b259b4dca688b71c2be

Aliases

arxiv: 2606.08809 · arxiv_version: 2606.08809v1 · doi: 10.48550/arxiv.2606.08809 · pith_short_12: IBPXMRJVGBK2 · pith_short_16: IBPXMRJVGBK223O7 · pith_short_8: IBPXMRJV

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/IBPXMRJVGBK223O7UY2UFKNECI \
  | 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: 405f7645353055ad6ddfa63542a9a412215c641c9bcb1b259b4dca688b71c2be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c8efaea5be5fb627d3fe28057239a4a213dc250f1a368da5331498d65aa562",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-07T19:59:52Z",
    "title_canon_sha256": "502ecd5b490b14a316754f53c3a33f3beb759908119c619a29dc345d44ff9aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08809",
    "kind": "arxiv",
    "version": 1
  }
}