Pith Number

pith:WBQ7ROON

pith:2024:WBQ7ROONXYSPEAG6XNHBNQZ5NR

not attested not anchored not stored refs pending

Shifted-prime divisors

Carl Pomerance, Steve Fan

arxiv:2401.10427 v5 · 2024-01-18 · 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{WBQ7ROONXYSPEAG6XNHBNQZ5NR}

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.

Cited by

1 paper in Pith

Short intervals for the Romanoff-type sumset

Receipt and verification

First computed	2026-07-05T07:57:48.956549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b061f8b9cdbe24f200debb4e16c33d6c51057816c2afce191f8ba6b2c7d949cc

Aliases

arxiv: 2401.10427 · arxiv_version: 2401.10427v5 · doi: 10.48550/arxiv.2401.10427 · pith_short_12: WBQ7ROONXYSP · pith_short_16: WBQ7ROONXYSPEAG6 · pith_short_8: WBQ7ROON

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/WBQ7ROONXYSPEAG6XNHBNQZ5NR \
  | 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: b061f8b9cdbe24f200debb4e16c33d6c51057816c2afce191f8ba6b2c7d949cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bac2bdd12dea55cc24af8b74f3f07115ad6c2e8753d40bf5f36525a6c6d37c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-18T23:52:28Z",
    "title_canon_sha256": "a79ce73a951b16a617cba39d353b8b10cc7764afec1c0ced08be7e42fa4a595e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.10427",
    "kind": "arxiv",
    "version": 5
  }
}