Pith Number

pith:UR7AHQSW

pith:2018:UR7AHQSW44E5LMZEOJZBA6LU5T

not attested not anchored not stored refs pending

Many associated primes of powers of primes

Irena Swanson, Jesse Kim

arxiv:1803.05456 v2 · 2018-03-14 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UR7AHQSW44E5LMZEOJZBA6LU5T}

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	2026-05-17T23:53:09.648157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47e03c256e709d5b3247272107974ecffb1eb16cd0bdd65e13a6ce592414a87

Aliases

arxiv: 1803.05456 · arxiv_version: 1803.05456v2 · doi: 10.48550/arxiv.1803.05456 · pith_short_12: UR7AHQSW44E5 · pith_short_16: UR7AHQSW44E5LMZE · pith_short_8: UR7AHQSW

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/UR7AHQSW44E5LMZEOJZBA6LU5T \
  | 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: a47e03c256e709d5b3247272107974ecffb1eb16cd0bdd65e13a6ce592414a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b04cb892cce92e788e82a0521faa4a010fa02dabbee5767043daca992f80a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-03-14T18:03:51Z",
    "title_canon_sha256": "925858fe2b6c1d391e5a2a8580bd399c60a63c4a970c2196c2ebf7c4e9051f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05456",
    "kind": "arxiv",
    "version": 2
  }
}