Pith Number

pith:C4QC54XC

pith:2018:C4QC54XCG67EPSE7CRHXZCYRH7

not attested not anchored not stored refs pending

Generalizing the Abundancy of an Integer

David C. Luo

arxiv:1803.10816 v3 · 2018-03-28 · 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{C4QC54XCG67EPSE7CRHXZCYRH7}

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	2026-05-17T23:55:59.222731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17202ef2e237be47c89f144f7c8b113fd0be3a2d7f927285ef1f9b5d89451b9d

Aliases

arxiv: 1803.10816 · arxiv_version: 1803.10816v3 · doi: 10.48550/arxiv.1803.10816 · pith_short_12: C4QC54XCG67E · pith_short_16: C4QC54XCG67EPSE7 · pith_short_8: C4QC54XC

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/C4QC54XCG67EPSE7CRHXZCYRH7 \
  | 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: 17202ef2e237be47c89f144f7c8b113fd0be3a2d7f927285ef1f9b5d89451b9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfc8ad66167210d56096caacd32a8c30bc7eae221f224c99792cb9b5b111ab5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-28T19:18:48Z",
    "title_canon_sha256": "fce05e77d6a8018046169c3194dea87199d3d193f6c8e96e9a8b258012b05692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10816",
    "kind": "arxiv",
    "version": 3
  }
}