Pith Number

pith:ZBFSIR4L

pith:2018:ZBFSIR4LJL5VVYQA6UF73GIJU2

not attested not anchored not stored refs pending

An upper bound on the Wiener Index of a k-connected graph

Karen L. Collins, Zhongyuan Che

arxiv:1811.02664 v1 · 2018-11-06 · 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{ZBFSIR4LJL5VVYQA6UF73GIJU2}

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	2026-05-18T00:01:21.083911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84b24478b4afb5ae200f50bfd9909a6809976962f40b9834d3ea64eac209b1e

Aliases

arxiv: 1811.02664 · arxiv_version: 1811.02664v1 · doi: 10.48550/arxiv.1811.02664 · pith_short_12: ZBFSIR4LJL5V · pith_short_16: ZBFSIR4LJL5VVYQA · pith_short_8: ZBFSIR4L

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/ZBFSIR4LJL5VVYQA6UF73GIJU2 \
  | 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: c84b24478b4afb5ae200f50bfd9909a6809976962f40b9834d3ea64eac209b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e6958e203d32b61a9e66a6257b31e8bd122963bc508edecfc2ddea65e9270cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-06T21:29:48Z",
    "title_canon_sha256": "0f8b67db77ef420b6656fae9148d4c8f13784bb49383c6b203dbc7f4f09fa8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02664",
    "kind": "arxiv",
    "version": 1
  }
}