Pith Number

pith:4SCFIUMT

pith:2019:4SCFIUMTBYEYM56OJDDB5QWLNY

not attested not anchored not stored refs pending

Vertex-connectivity and $Q$-index of graphs with fixed girth

Hong-Jian Lai, Huicai Jia, Ju Zhou, Ruifang Liu

arxiv:1904.04970 v1 · 2019-04-10 · 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{4SCFIUMTBYEYM56OJDDB5QWLNY}

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	2026-05-17T23:48:54.570645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4845451930e098677ce48c61ec2cb6e09a533d291891fb3c1a92d8be6e18811

Aliases

arxiv: 1904.04970 · arxiv_version: 1904.04970v1 · doi: 10.48550/arxiv.1904.04970 · pith_short_12: 4SCFIUMTBYEY · pith_short_16: 4SCFIUMTBYEYM56O · pith_short_8: 4SCFIUMT

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/4SCFIUMTBYEYM56OJDDB5QWLNY \
  | 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: e4845451930e098677ce48c61ec2cb6e09a533d291891fb3c1a92d8be6e18811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e644d9777f93559d547e4f2f8161f3fc684f517e17934f2d64164acef8ab0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-10T01:41:22Z",
    "title_canon_sha256": "0b1eb17db5c7a88bbf3cf5db346759982f93756e20abdaca4581fd28431b5aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04970",
    "kind": "arxiv",
    "version": 1
  }
}