Pith Number

pith:AQ4AOPDS

pith:2017:AQ4AOPDSUYMLUSUGTKXO7HVRJQ

not attested not anchored not stored refs pending

Edge Connectivity, Packing Spanning Trees, and Eigenvalues of Graphs

Cunxiang Duan, Ligong Wang, Xiangxiang Liu

arxiv:1704.05994 v3 · 2017-04-20 · 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{AQ4AOPDSUYMLUSUGTKXO7HVRJQ}

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	2026-05-18T00:00:35.585913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0438073c72a618ba4a869aaeef9eb14c23b7b2e4c56dd373515e11f5f5f2c100

Aliases

arxiv: 1704.05994 · arxiv_version: 1704.05994v3 · doi: 10.48550/arxiv.1704.05994 · pith_short_12: AQ4AOPDSUYML · pith_short_16: AQ4AOPDSUYMLUSUG · pith_short_8: AQ4AOPDS

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/AQ4AOPDSUYMLUSUGTKXO7HVRJQ \
  | 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: 0438073c72a618ba4a869aaeef9eb14c23b7b2e4c56dd373515e11f5f5f2c100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e89f6a4f7d5c9bb143659399d9beba52c6de6dc6d43e90c78accee0f4aab48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-20T03:38:06Z",
    "title_canon_sha256": "095c6d8b2168b41b906b82df10b7b562ae97279b25c775ff6d43e7d76b426b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05994",
    "kind": "arxiv",
    "version": 3
  }
}