Pith Number

pith:GP7Q7IVI

pith:2017:GP7Q7IVINLPKRY76LMGWTVBVXD

not attested not anchored not stored refs pending

Existence results for primitive elements in cubic and quartic extensions of a finite field

Geoff Bailey, Nicole Sutherland, Stephen D. Cohen, Tim Trudgian

arxiv:1707.02404 v2 · 2017-07-08 · 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{GP7Q7IVINLPKRY76LMGWTVBVXD}

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	2026-05-17T23:58:50.211905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ff0fa2a86adea8e3fe5b0d69d435b8c2cea5b89ec663609da646f49900f9b7

Aliases

arxiv: 1707.02404 · arxiv_version: 1707.02404v2 · doi: 10.48550/arxiv.1707.02404 · pith_short_12: GP7Q7IVINLPK · pith_short_16: GP7Q7IVINLPKRY76 · pith_short_8: GP7Q7IVI

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/GP7Q7IVINLPKRY76LMGWTVBVXD \
  | 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: 33ff0fa2a86adea8e3fe5b0d69d435b8c2cea5b89ec663609da646f49900f9b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96397782cafae13bca311a4c8e9e00ddb81daa4a18239eca7a79bdc18501cfaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-08T07:04:06Z",
    "title_canon_sha256": "2f87657446253c37160b988c165ced0d8e8d70ca9bec54fe49d8c90737f0bbe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02404",
    "kind": "arxiv",
    "version": 2
  }
}