Pith Number

pith:PLCX4ZKN

pith:2018:PLCX4ZKNOUVDX5OYNYIRQ4F73R

not attested not anchored not stored refs pending

Permutation trinomials over $\mathbb{F}_{q^3}$

Daniele Bartoli

arxiv:1804.01305 v1 · 2018-04-04 · 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{PLCX4ZKNOUVDX5OYNYIRQ4F73R}

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	2026-05-18T00:19:15.462075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac57e654d752a3bf5d86e111870bfdc7b2ce3cc6e7dbcfa09221094a312a20b

Aliases

arxiv: 1804.01305 · arxiv_version: 1804.01305v1 · doi: 10.48550/arxiv.1804.01305 · pith_short_12: PLCX4ZKNOUVD · pith_short_16: PLCX4ZKNOUVDX5OY · pith_short_8: PLCX4ZKN

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/PLCX4ZKNOUVDX5OYNYIRQ4F73R \
  | 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: 7ac57e654d752a3bf5d86e111870bfdc7b2ce3cc6e7dbcfa09221094a312a20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "295009384a8da650f3bdc65d08feab648ad7dff82d8d64d33f4744cf72ccf25f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-04T08:59:12Z",
    "title_canon_sha256": "1077d8e57aee41289153dc088e0fd8b1cad7f5018f9a0ec7fedb3a54e1c501f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01305",
    "kind": "arxiv",
    "version": 1
  }
}