Pith Number

pith:3P7YLCYR

pith:2019:3P7YLCYREOBSORXYZ2ER5XMR7K

not attested not anchored not stored refs pending

Dirichlet product of derivative arithmetic with an arithmetic function multiplicative

Es-said En-naoui

arxiv:1908.07345 v1 · 2019-08-15 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3P7YLCYREOBSORXYZ2ER5XMR7K}

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	2026-07-04T23:58:33.492269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbff858b1123832746f8ce891edd91fa809a6e57eada06480c30c64dc2a4793c

Aliases

arxiv: 1908.07345 · arxiv_version: 1908.07345v1 · doi: 10.48550/arxiv.1908.07345 · pith_short_12: 3P7YLCYREOBS · pith_short_16: 3P7YLCYREOBSORXY · pith_short_8: 3P7YLCYR

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/3P7YLCYREOBSORXYZ2ER5XMR7K \
  | 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: dbff858b1123832746f8ce891edd91fa809a6e57eada06480c30c64dc2a4793c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677d69ccdced4a6907bd590baa4573cfc140b93ff741bb2f065de9f2fbc5eb01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-08-15T21:40:50Z",
    "title_canon_sha256": "547c70434f069401d32f6b0b688df8f54af9058335e6bd56a1c1f07f63d2a5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07345",
    "kind": "arxiv",
    "version": 1
  }
}