Pith Number

pith:FGYPRU3M

pith:2017:FGYPRU3M4BLK7ARGIXU3UWPBQ4

not attested not anchored not stored refs pending

Existence of primitive $1$-normal elements in finite fields

David Thomson, Lucas Reis

arxiv:1710.06131 v1 · 2017-10-17 · 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{FGYPRU3M4BLK7ARGIXU3UWPBQ4}

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	2026-05-18T00:32:37.623885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29b0f8d36ce056af822645e9ba59e1871dd37b9cec44f84c8f552a8fa45feb84

Aliases

arxiv: 1710.06131 · arxiv_version: 1710.06131v1 · doi: 10.48550/arxiv.1710.06131 · pith_short_12: FGYPRU3M4BLK · pith_short_16: FGYPRU3M4BLK7ARG · pith_short_8: FGYPRU3M

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/FGYPRU3M4BLK7ARGIXU3UWPBQ4 \
  | 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: 29b0f8d36ce056af822645e9ba59e1871dd37b9cec44f84c8f552a8fa45feb84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72232b739a0cd075566959f48c3f8643424153ace2753e4787b5fabe8bf12367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-17T07:21:33Z",
    "title_canon_sha256": "d56581a5ae9314249f4e06448c95477728542cdcc194c919e9b158e91c9c659e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06131",
    "kind": "arxiv",
    "version": 1
  }
}