Pith Number

pith:BYQREYC4

pith:2011:BYQREYC4ZOS4TMNHWZ6MVK5RVH

not attested not anchored not stored refs pending

Inequalities for multiplicative arithmetic functions

Jozsef Sandor

arxiv:1105.0292 v1 · 2011-05-02 · 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{BYQREYC4ZOS4TMNHWZ6MVK5RVH}

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	2026-05-18T04:23:12.097382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2112605ccba5c9b1a7b67ccaabb1a9f45fd96e4ada05f921f09ef3f2c710e6

Aliases

arxiv: 1105.0292 · arxiv_version: 1105.0292v1 · doi: 10.48550/arxiv.1105.0292 · pith_short_12: BYQREYC4ZOS4 · pith_short_16: BYQREYC4ZOS4TMNH · pith_short_8: BYQREYC4

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/BYQREYC4ZOS4TMNHWZ6MVK5RVH \
  | 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: 0e2112605ccba5c9b1a7b67ccaabb1a9f45fd96e4ada05f921f09ef3f2c710e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade4f0683e6138c4e243806467b0e452b2bd73b7f96653bd7335fe5ce29e421a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-02T10:33:22Z",
    "title_canon_sha256": "03117064de814ef9f589eeae23b5c447fbfc83ac0d80d0131e14776453eddadf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0292",
    "kind": "arxiv",
    "version": 1
  }
}