Pith Number

pith:SOCFTDY3

pith:2025:SOCFTDY3E4G3IIMAPFRU4XEHK5

not attested not anchored not stored refs pending

The minimum size of maximal bipartite IC-plane graphs with given connectivity

Guiping Wang, Licheng Zhang, Yuanqiu Huang, Zhangdong Ouyang

arxiv:2506.00878 v1 · 2025-06-01 · 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{SOCFTDY3E4G3IIMAPFRU4XEHK5}

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	2026-07-05T11:13:42.155245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9384598f1b270db4218079634e5c875740af2105c778e20f2e8547b57d0baec7

Aliases

arxiv: 2506.00878 · arxiv_version: 2506.00878v1 · doi: 10.48550/arxiv.2506.00878 · pith_short_12: SOCFTDY3E4G3 · pith_short_16: SOCFTDY3E4G3IIMA · pith_short_8: SOCFTDY3

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/SOCFTDY3E4G3IIMAPFRU4XEHK5 \
  | 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: 9384598f1b270db4218079634e5c875740af2105c778e20f2e8547b57d0baec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e386ca82188bfaebdae981e9f58ab786a102f998e1a85fc938f167a21deab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-01T07:37:34Z",
    "title_canon_sha256": "f95abbacc12a7a0f2a5726e6f10091077809fdfa16df38f3c92933383fba068c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00878",
    "kind": "arxiv",
    "version": 1
  }
}