Pith Number

pith:33GYGO46

pith:2022:33GYGO46U72MG6VPMJN76SG2C4

not attested not anchored not stored refs pending

New recurrences for divisor sum functions and triangular numbers

Masato Kobayashi

arxiv:2207.05831 v1 · 2022-07-12 · 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{33GYGO46U72MG6VPMJN76SG2C4}

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	2026-07-05T04:39:52.001337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

decd833b9ea7f4c37aaf625bff48da1701d43acd6a72ee8af58df7596dc73382

Aliases

arxiv: 2207.05831 · arxiv_version: 2207.05831v1 · doi: 10.48550/arxiv.2207.05831 · pith_short_12: 33GYGO46U72M · pith_short_16: 33GYGO46U72MG6VP · pith_short_8: 33GYGO46

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/33GYGO46U72MG6VPMJN76SG2C4 \
  | 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: decd833b9ea7f4c37aaf625bff48da1701d43acd6a72ee8af58df7596dc73382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d5a0e7e91e187df5c9bc0f92529a045f23bea5eb8766aa9beeb1e4d790238c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-12T20:48:55Z",
    "title_canon_sha256": "773aff4675986d7ae3db263423be3af18592363e9612c7b4a98cd9412af7a97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05831",
    "kind": "arxiv",
    "version": 1
  }
}