Pith Number

pith:ZJL5QDII

pith:2014:ZJL5QDIIK2QZUVK4RYG3DRQOV5

not attested not anchored not stored refs pending

Diameter critical graphs

Jie Ma, Po-Shen Loh

arxiv:1406.6736 v1 · 2014-06-25 · 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{ZJL5QDIIK2QZUVK4RYG3DRQOV5}

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	2026-05-18T02:48:56.012503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca57d80d0856a19a555c8e0db1c60eaf458266647f63190b5b2ea595068a53db

Aliases

arxiv: 1406.6736 · arxiv_version: 1406.6736v1 · doi: 10.48550/arxiv.1406.6736 · pith_short_12: ZJL5QDIIK2QZ · pith_short_16: ZJL5QDIIK2QZUVK4 · pith_short_8: ZJL5QDII

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/ZJL5QDIIK2QZUVK4RYG3DRQOV5 \
  | 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: ca57d80d0856a19a555c8e0db1c60eaf458266647f63190b5b2ea595068a53db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a6c4b80908c05729e5e95977fe3c5b93b4382fc24b0bbd6964e877f54fe307",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-25T23:54:57Z",
    "title_canon_sha256": "0fb9d7cff5131f43d795c501f21ee1640369a29a6f3fb852707115dfdc76c1e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6736",
    "kind": "arxiv",
    "version": 1
  }
}