Pith Number

pith:YETLFDSB

pith:2015:YETLFDSBJ55YOXIH5ZBVQCUW7L

not attested not anchored not stored refs pending

General divisor function inequalities and the third cumulant

Zarathustra Brady

arxiv:1509.04331 v1 · 2015-09-14 · 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{YETLFDSBJ55YOXIH5ZBVQCUW7L}

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	2026-05-18T00:14:23.246036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c126b28e414f7b875d07ee43580a96fac1031c8cdd555c9a98a7e571eac5b395

Aliases

arxiv: 1509.04331 · arxiv_version: 1509.04331v1 · doi: 10.48550/arxiv.1509.04331 · pith_short_12: YETLFDSBJ55Y · pith_short_16: YETLFDSBJ55YOXIH · pith_short_8: YETLFDSB

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/YETLFDSBJ55YOXIH5ZBVQCUW7L \
  | 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: c126b28e414f7b875d07ee43580a96fac1031c8cdd555c9a98a7e571eac5b395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82219a2893d920a9a27cc13c4c4529eba517d078b4abb5aa997796f8e5120df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-14T21:14:18Z",
    "title_canon_sha256": "f0795a09e2454e9aad85b67980390aa3eed4fe53cc1058dbe6fbbbd157163a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04331",
    "kind": "arxiv",
    "version": 1
  }
}