Pith Number

pith:6PIGYNEG

pith:2019:6PIGYNEGC4WE2VVIH3Z4NRVSVH

not attested not anchored not stored refs pending

An Unconditional Improvement to the Running Time of the Quadratic Frobenius Test

Jon Grantham

arxiv:1908.02394 v2 · 2019-08-06 · 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{6PIGYNEGC4WE2VVIH3Z4NRVSVH}

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	2026-07-05T00:37:17.465526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d06c3486172c4d56a83ef3c6c6b2a9fb738f60fdcd4a9a7d83e119d5b4eaa6

Aliases

arxiv: 1908.02394 · arxiv_version: 1908.02394v2 · doi: 10.48550/arxiv.1908.02394 · pith_short_12: 6PIGYNEGC4WE · pith_short_16: 6PIGYNEGC4WE2VVI · pith_short_8: 6PIGYNEG

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/6PIGYNEGC4WE2VVIH3Z4NRVSVH \
  | 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: f3d06c3486172c4d56a83ef3c6c6b2a9fb738f60fdcd4a9a7d83e119d5b4eaa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d763c2d82a8689f94fe3d2710b64c5ac7a1b221097ae233af79c97301aa56915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-06T22:56:32Z",
    "title_canon_sha256": "b61cce6a4c56007c261e7511f924c4fa27a29c15f0a7772d02e739225ce45c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02394",
    "kind": "arxiv",
    "version": 2
  }
}