Pith Number

pith:3WUGWICV

pith:2022:3WUGWICVIFS3PJKZQKD5OPNVG4

not attested not anchored not stored refs pending

Extremal graphs for the suspension of edge-critical graphs

Heng Li, Jianfeng Hou, Qinghou Zeng

arxiv:2211.07913 v1 · 2022-11-15 · 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{3WUGWICVIFS3PJKZQKD5OPNVG4}

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	2026-07-05T05:16:07.796446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda86b20554165b7a5598287d73db5371310ad50d7a92f8b58df81c45800ad78

Aliases

arxiv: 2211.07913 · arxiv_version: 2211.07913v1 · doi: 10.48550/arxiv.2211.07913 · pith_short_12: 3WUGWICVIFS3 · pith_short_16: 3WUGWICVIFS3PJKZ · pith_short_8: 3WUGWICV

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/3WUGWICVIFS3PJKZQKD5OPNVG4 \
  | 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: dda86b20554165b7a5598287d73db5371310ad50d7a92f8b58df81c45800ad78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dc1450ad910126d53a6e0fcb71d5029b5e3da3418d62593b50b12c603d6f729",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-15T05:34:46Z",
    "title_canon_sha256": "f0d082e07986c610dfed8102a8e04c039da9214555ae1874624715f107b3bb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07913",
    "kind": "arxiv",
    "version": 1
  }
}