Pith Number

pith:H5ERLA6P

pith:2024:H5ERLA6PVTLUKAGHA2XQEAQODH

not attested not anchored not stored refs pending

The shifted prime-divisor function over shifted primes

Steve Fan

arxiv:2406.05217 v7 · 2024-06-07 · 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{H5ERLA6PVTLUKAGHA2XQEAQODH}

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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

Moments of the shifted prime divisor function

Receipt and verification

First computed	2026-07-05T09:36:41.435625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f491583cfacd74500c706af02020e19d559756186d61c69e5e36d9e73fccff3

Aliases

arxiv: 2406.05217 · arxiv_version: 2406.05217v7 · doi: 10.48550/arxiv.2406.05217 · pith_short_12: H5ERLA6PVTLU · pith_short_16: H5ERLA6PVTLUKAGH · pith_short_8: H5ERLA6P

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/H5ERLA6PVTLUKAGHA2XQEAQODH \
  | 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: 3f491583cfacd74500c706af02020e19d559756186d61c69e5e36d9e73fccff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c45d601a7fa6af7a00db30fe4f6177529b2c827408c9775cefa539b570c8785",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-07T19:00:41Z",
    "title_canon_sha256": "9d470ec788db731b009e58fcb498986bad46455d2cb829a51d0f1d7ef52ab552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.05217",
    "kind": "arxiv",
    "version": 7
  }
}