Pith Number

pith:567URQ25

pith:2019:567URQ252KBAKMHMBIMVKW32HS

not attested not anchored not stored refs pending

The Distance to a Squarefree Polynomial Over $\mathbb{F}_2[x]$

Michael Filaseta, Richard A. Moy

arxiv:1906.07904 v1 · 2019-06-19 · 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{567URQ252KBAKMHMBIMVKW32HS}

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	2026-05-17T23:42:57.348172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efbf48c35dd2820530ec0a19555b7a3c8538471f5b75f19d157011c5650e488c

Aliases

arxiv: 1906.07904 · arxiv_version: 1906.07904v1 · doi: 10.48550/arxiv.1906.07904 · pith_short_12: 567URQ252KBA · pith_short_16: 567URQ252KBAKMHM · pith_short_8: 567URQ25

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/567URQ252KBAKMHMBIMVKW32HS \
  | 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: efbf48c35dd2820530ec0a19555b7a3c8538471f5b75f19d157011c5650e488c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da62c0b59c9a3dbfa649eef3d408b1934a4115a5d4a7f6b9a7aadf94d64a3fe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-19T04:05:16Z",
    "title_canon_sha256": "40d2858ffa54a4f8face274f0ffbdcd4e3a6afbc55fc331626ca19b991a49fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07904",
    "kind": "arxiv",
    "version": 1
  }
}