Pith Number

pith:PGPT3BU2

pith:2017:PGPT3BU2MNGUZBP7CBACGWIMPO

not attested not anchored not stored refs pending

A note on prime divisors of polynomials $P(T^k), k \geq 1$

Fran\c{c}ois Legrand

arxiv:1705.02605 v2 · 2017-05-07 · 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{PGPT3BU2MNGUZBP7CBACGWIMPO}

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	2026-05-18T00:38:18.009446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799f3d869a634d4c85ff104023590c7b914a3c8fa1f7a0ef24dfe050440c1b14

Aliases

arxiv: 1705.02605 · arxiv_version: 1705.02605v2 · doi: 10.48550/arxiv.1705.02605 · pith_short_12: PGPT3BU2MNGU · pith_short_16: PGPT3BU2MNGUZBP7 · pith_short_8: PGPT3BU2

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/PGPT3BU2MNGUZBP7CBACGWIMPO \
  | 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: 799f3d869a634d4c85ff104023590c7b914a3c8fa1f7a0ef24dfe050440c1b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0018919cc91183ac9bd6a5a72aab9df43650e96ea08d4af07a42392163e23a77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-07T12:30:10Z",
    "title_canon_sha256": "b8dbe7e1a5874e283a54c67d29e09d4e5698b7e244f055d659f50a3d0462a42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02605",
    "kind": "arxiv",
    "version": 2
  }
}