Pith Number

pith:5TJW5GXH

pith:2016:5TJW5GXHPFC6MAQQZFI22YXRIO

not attested not anchored not stored refs pending

Distribution of reducible polynomials with a given coefficient set

Shane Chern

arxiv:1602.07431 v3 · 2016-02-24 · 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{5TJW5GXHPFC6MAQQZFI22YXRIO}

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	2026-05-18T00:41:02.221004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd36e9ae77945e60210c951ad62f143ae992624b9c8d2a21c854ac5842cc0ef

Aliases

arxiv: 1602.07431 · arxiv_version: 1602.07431v3 · doi: 10.48550/arxiv.1602.07431 · pith_short_12: 5TJW5GXHPFC6 · pith_short_16: 5TJW5GXHPFC6MAQQ · pith_short_8: 5TJW5GXH

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/5TJW5GXHPFC6MAQQZFI22YXRIO \
  | 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: ecd36e9ae77945e60210c951ad62f143ae992624b9c8d2a21c854ac5842cc0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941e138d50378616446d24749fe43c2d2ea326c012f3377232055e1f317717b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-24T08:34:42Z",
    "title_canon_sha256": "bbeab032546459d55f2ea4cc5fe90909b293660f50a3f600c5a8455d5e5e174b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07431",
    "kind": "arxiv",
    "version": 3
  }
}