Pith Number

pith:MCDUVGTX

pith:2018:MCDUVGTX2AHXFS53QVGW7P2OL4

not attested not anchored not stored refs pending

The largest graphs with given order and diameter: A simple proof

Pu Qiao, Xingzhi Zhan

arxiv:1811.05314 v1 · 2018-11-10 · 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{MCDUVGTX2AHXFS53QVGW7P2OL4}

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	2026-05-18T00:00:46.361434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60874a9a77d00f72cbbb854d6fbf4e5f2d0bd1fddc53c6f772a1be523a824f3e

Aliases

arxiv: 1811.05314 · arxiv_version: 1811.05314v1 · doi: 10.48550/arxiv.1811.05314 · pith_short_12: MCDUVGTX2AHX · pith_short_16: MCDUVGTX2AHXFS53 · pith_short_8: MCDUVGTX

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/MCDUVGTX2AHXFS53QVGW7P2OL4 \
  | 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: 60874a9a77d00f72cbbb854d6fbf4e5f2d0bd1fddc53c6f772a1be523a824f3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e03f2ee1e92cc780db70f4c101cd1153d2b00859e7e36982d9ff235a8111e752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-10T01:56:49Z",
    "title_canon_sha256": "2ab30ceafd90bf17f16e9d60c4dcbffdf0d3a15fa7c77e50c2c2e5e9c5815915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05314",
    "kind": "arxiv",
    "version": 1
  }
}