Pith Number

pith:45PS5HYM

pith:2013:45PS5HYMFVV5E4VA7IU6VL2LMK

not attested not anchored not stored refs pending

On the eccentric distance sum of unicyclic graphs with a given matching number

Bing Wei, Shuchao Li, Yibing Song

arxiv:1304.4335 v1 · 2013-04-16 · 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{45PS5HYMFVV5E4VA7IU6VL2LMK}

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	2026-05-18T03:27:53.384294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75f2e9f0c2d6bd272a0fa29eaaf4b6297b7c7c767ee3db65933af0fed8a03b6

Aliases

arxiv: 1304.4335 · arxiv_version: 1304.4335v1 · doi: 10.48550/arxiv.1304.4335 · pith_short_12: 45PS5HYMFVV5 · pith_short_16: 45PS5HYMFVV5E4VA · pith_short_8: 45PS5HYM

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/45PS5HYMFVV5E4VA7IU6VL2LMK \
  | 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: e75f2e9f0c2d6bd272a0fa29eaaf4b6297b7c7c767ee3db65933af0fed8a03b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75d33bad83bc34ab7f82902cf91263573ebd6e63680ee560bf188bfb15bafe53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-16T05:59:16Z",
    "title_canon_sha256": "214a28b7f9ece0a2772c429ff55d7272277ea3f18796c31bb5de9cea74e6addd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4335",
    "kind": "arxiv",
    "version": 1
  }
}