Pith Number

pith:65ISILK7

pith:2017:65ISILK75BUNELNE7ZUWG74LBM

not attested not anchored not stored refs pending

Squarefree polynomials with prescribed coefficients

Amotz Oppenheim, Mark Shusterman

arxiv:1707.06528 v1 · 2017-07-20 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65ISILK75BUNELNE7ZUWG74LBM}

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	2026-05-18T00:39:53.621738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f751242d5fe868d22da4fe69637f8b0b22904314467ebeb0ada7ba9ff5c0c55a

Aliases

arxiv: 1707.06528 · arxiv_version: 1707.06528v1 · doi: 10.48550/arxiv.1707.06528 · pith_short_12: 65ISILK75BUN · pith_short_16: 65ISILK75BUNELNE · pith_short_8: 65ISILK7

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/65ISILK75BUNELNE7ZUWG74LBM \
  | 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: f751242d5fe868d22da4fe69637f8b0b22904314467ebeb0ada7ba9ff5c0c55a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a736277fa6ecdcd79b2c9a07d66567bac6bff5ff7e7be2858a41be7428a1c4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-20T14:18:08Z",
    "title_canon_sha256": "076e5c65084ebe06651652c95ec17f4b047dfbcf8c08b162cc68c668823375c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06528",
    "kind": "arxiv",
    "version": 1
  }
}