Pith Number

pith:UUC5VHJE

pith:2025:UUC5VHJEBC3RTYKXVZPCWGJCOY

not attested not anchored not stored refs pending

The minimum size of a $k$-connected locally nonforesty graph

Chengli Li, Xingzhi Zhan, Yurui Tang

arxiv:2501.13980 v1 · 2025-01-23 · 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{UUC5VHJEBC3RTYKXVZPCWGJCOY}

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	2026-07-05T10:04:43.379128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a505da9d2408b719e157ae5e2b192276266128884bc3112e1158d563c5408168

Aliases

arxiv: 2501.13980 · arxiv_version: 2501.13980v1 · doi: 10.48550/arxiv.2501.13980 · pith_short_12: UUC5VHJEBC3R · pith_short_16: UUC5VHJEBC3RTYKX · pith_short_8: UUC5VHJE

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/UUC5VHJEBC3RTYKXVZPCWGJCOY \
  | 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: a505da9d2408b719e157ae5e2b192276266128884bc3112e1158d563c5408168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e8af914e679daf6acba43d733e1c0ba44761f01ae4e1a2f69013424c403af0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-23T02:40:55Z",
    "title_canon_sha256": "55d2fa29e905d296e1381a6049b7c2ad86c3c5376b54c706b261e1ded26ea113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13980",
    "kind": "arxiv",
    "version": 1
  }
}