Pith Number

pith:OUJSGUMT

pith:2015:OUJSGUMTUMQKFR7XBKBVKMSO3N

not attested not anchored not stored refs pending

A Generalization of Brown's Construction for the Degree/Diameter Problem

Yawara Ishida

arxiv:1512.08961 v1 · 2015-12-30 · 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{OUJSGUMTUMQKFR7XBKBVKMSO3N}

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	2026-05-18T01:23:34.365093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7513235193a320a2c7f70a8355324edb45ec85f1d5ea9ecee4b62c2ca36c49f9

Aliases

arxiv: 1512.08961 · arxiv_version: 1512.08961v1 · doi: 10.48550/arxiv.1512.08961 · pith_short_12: OUJSGUMTUMQK · pith_short_16: OUJSGUMTUMQKFR7X · pith_short_8: OUJSGUMT

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/OUJSGUMTUMQKFR7XBKBVKMSO3N \
  | 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: 7513235193a320a2c7f70a8355324edb45ec85f1d5ea9ecee4b62c2ca36c49f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9f76aa8a97d3b00dcb1bc355e8dfe22d8c28656c09c435fe23e594e54093e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-30T15:01:18Z",
    "title_canon_sha256": "ea78635e455485f3408ac855f29487155ffdd046aa00f9220e259bbb23ce3720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08961",
    "kind": "arxiv",
    "version": 1
  }
}