Pith Number

pith:Y2VBXFFN

pith:2019:Y2VBXFFNO7OLW7LYW2YYYR2CP3

not attested not anchored not stored refs pending

Conflict-free (vertex)-connection numbers of graphs with small diameters

Xiaoyu Zhu, Xueliang Li

arxiv:1902.10881 v2 · 2019-02-28 · 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{Y2VBXFFNO7OLW7LYW2YYYR2CP3}

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	2026-05-17T23:48:54.895854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6aa1b94ad77dcbb7d78b6b18c47427ed965cdc448540f2e27892277a8e0299c

Aliases

arxiv: 1902.10881 · arxiv_version: 1902.10881v2 · doi: 10.48550/arxiv.1902.10881 · pith_short_12: Y2VBXFFNO7OL · pith_short_16: Y2VBXFFNO7OLW7LY · pith_short_8: Y2VBXFFN

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/Y2VBXFFNO7OLW7LYW2YYYR2CP3 \
  | 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: c6aa1b94ad77dcbb7d78b6b18c47427ed965cdc448540f2e27892277a8e0299c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1d158449fc7175ef04c52be7c14f55fdb4afbe97a7c562bad887dacf5ede54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-28T03:49:40Z",
    "title_canon_sha256": "d890281892b5afe6f966abbbdd1c72cf0b5676d8f33f96b95528aa4bcbff3f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10881",
    "kind": "arxiv",
    "version": 2
  }
}