Pith Number

pith:RLOBWGU4

pith:2019:RLOBWGU4GRQZEKAGTWC3RMASXV

not attested not anchored not stored refs pending

A theorem about partitioning consecutive numbers

Kai Michael Renken

arxiv:1907.06931 v1 · 2019-07-16 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLOBWGU4GRQZEKAGTWC3RMASXV}

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	2026-05-17T23:40:28.642934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8adc1b1a9c34619228069d85b8b012bd7e9512c96654c60fe24bc6f4178cc806

Aliases

arxiv: 1907.06931 · arxiv_version: 1907.06931v1 · doi: 10.48550/arxiv.1907.06931 · pith_short_12: RLOBWGU4GRQZ · pith_short_16: RLOBWGU4GRQZEKAG · pith_short_8: RLOBWGU4

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/RLOBWGU4GRQZEKAGTWC3RMASXV \
  | 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: 8adc1b1a9c34619228069d85b8b012bd7e9512c96654c60fe24bc6f4178cc806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b28126c0e2ed10e8f4482e0f07380860803869c1a0c96e2bf410500ade9058c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-16T10:35:34Z",
    "title_canon_sha256": "0d43c01a5bd6319dd68f6d88277efadd432844d9a5237737629aa159a1d72b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06931",
    "kind": "arxiv",
    "version": 1
  }
}