Pith Number

pith:XUAIWLUA

pith:2018:XUAIWLUAI5LFFZX7JWHZYL5S2L

not attested not anchored not stored refs pending

Minimum degree and size conditions for the proper connection number of graphs

Eddie Cheng, Lina Xue, Weihua Yang, Xiaxia Guan

arxiv:1806.09452 v1 · 2018-06-21 · 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{XUAIWLUAI5LFFZX7JWHZYL5S2L}

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	2026-05-18T00:12:27.239079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd008b2e80475652e6ff4d8f9c2fb2d2ff8bae199905e0860143c7ee2bb7667a

Aliases

arxiv: 1806.09452 · arxiv_version: 1806.09452v1 · doi: 10.48550/arxiv.1806.09452 · pith_short_12: XUAIWLUAI5LF · pith_short_16: XUAIWLUAI5LFFZX7 · pith_short_8: XUAIWLUA

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/XUAIWLUAI5LFFZX7JWHZYL5S2L \
  | 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: bd008b2e80475652e6ff4d8f9c2fb2d2ff8bae199905e0860143c7ee2bb7667a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fab2455c62595d62e567fe95f28d583747e8e683085602f2ae90eeeae0bb6c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-21T12:57:47Z",
    "title_canon_sha256": "78696285a86f1ba154ddfbde794ca2a41a66993c1e78f879333b5d6b81a4d419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09452",
    "kind": "arxiv",
    "version": 1
  }
}