Pith Number

pith:TOQKXWHW

pith:2016:TOQKXWHWY4OEE7VQRJE2FVZVII

not attested not anchored not stored refs pending

On Two Conjectures about Permutation Trinomials over $\mathbb{F}_{3^{2k}}$

Nian Li

arxiv:1610.04441 v1 · 2016-10-14 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOQKXWHWY4OEE7VQRJE2FVZVII}

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	2026-05-18T01:02:15.189205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba0abd8f6c71c427eb08a49a2d735420ea9488a26ab94a4adeb253ccd84c270

Aliases

arxiv: 1610.04441 · arxiv_version: 1610.04441v1 · doi: 10.48550/arxiv.1610.04441 · pith_short_12: TOQKXWHWY4OE · pith_short_16: TOQKXWHWY4OEE7VQ · pith_short_8: TOQKXWHW

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/TOQKXWHWY4OEE7VQRJE2FVZVII \
  | 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: 9ba0abd8f6c71c427eb08a49a2d735420ea9488a26ab94a4adeb253ccd84c270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38140f0946b287b005c3226703d540a1cf039a0b570ea9f2768955f67eff77db",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-14T12:59:02Z",
    "title_canon_sha256": "9dbf90477fa6cc7522b166542e3cf18bc2f108f5c2d3f40b87787b42efd13044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04441",
    "kind": "arxiv",
    "version": 1
  }
}