Pith Number

pith:5W2HAVLX

pith:2014:5W2HAVLXDZM4ZGYY6GQW4C5JY4

not attested not anchored not stored refs pending

On the Reciprocal of the Binary Generating Function for the Sum of Divisors

Alexander Riasanovsky, Joshua Cooper

arxiv:1409.2909 v1 · 2014-09-09 · 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{5W2HAVLXDZM4ZGYY6GQW4C5JY4}

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	2026-05-18T02:43:08.768622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb47055771e59cc9b18f1a16e0ba9c71da9780f5d5e9ffe4b8d6441a6d937b0

Aliases

arxiv: 1409.2909 · arxiv_version: 1409.2909v1 · doi: 10.48550/arxiv.1409.2909 · pith_short_12: 5W2HAVLXDZM4 · pith_short_16: 5W2HAVLXDZM4ZGYY · pith_short_8: 5W2HAVLX

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/5W2HAVLXDZM4ZGYY6GQW4C5JY4 \
  | 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: edb47055771e59cc9b18f1a16e0ba9c71da9780f5d5e9ffe4b8d6441a6d937b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070b26b0ad912f2cf334702af383554ad64903f9a8458e58f03d696d4a8d3934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-09T22:30:39Z",
    "title_canon_sha256": "af8606c2d3ede5bbf8ae8f3c7a22c94797476344d687c03f1e0875e4f5ff4cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2909",
    "kind": "arxiv",
    "version": 1
  }
}