Pith Number

pith:4M4YX3BU

pith:2023:4M4YX3BUOM6RVSPYQNC4SGE4GF

not attested not anchored not stored refs pending

Multifactorisations and Divisor Functions

Ambrose D. Law, Karl Michael Schmidt, Matthew C. Lettington

arxiv:2303.12042 v2 · 2023-03-21 · 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{4M4YX3BUOM6RVSPYQNC4SGE4GF}

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.

Cited by

1 paper in Pith

Additive systems for $\mathbb{Z}$ are undecidable

Receipt and verification

First computed	2026-07-05T11:55:34.456525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3398bec34733d1ac9f88345c9189c315d297b1d02bbaaef86d251ffb19a4c66

Aliases

arxiv: 2303.12042 · arxiv_version: 2303.12042v2 · doi: 10.48550/arxiv.2303.12042 · pith_short_12: 4M4YX3BUOM6R · pith_short_16: 4M4YX3BUOM6RVSPY · pith_short_8: 4M4YX3BU

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/4M4YX3BUOM6RVSPYQNC4SGE4GF \
  | 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: e3398bec34733d1ac9f88345c9189c315d297b1d02bbaaef86d251ffb19a4c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d4406c6912c719343be5a88b955d0d20a545eb901f45cb11e44ae0ddd5561e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-03-21T17:27:53Z",
    "title_canon_sha256": "e29d0931ebc69f49ff69c91313482e491815699ad216d832e66719d992d77a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12042",
    "kind": "arxiv",
    "version": 2
  }
}