Pith Number

pith:OP5W3IDJ

pith:2018:OP5W3IDJX62QERMK4PZOIREDFR

not attested not anchored not stored refs pending

Sharp spectral bounds for the edge-connectivity of a regular graph

Hyunju Yu, Jeong Rye Park, Jongyook Park, Suil O

arxiv:1810.01189 v2 · 2018-10-02 · 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{OP5W3IDJX62QERMK4PZOIREDFR}

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	2026-05-18T00:04:07.174805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fb6da069bfb502458ae3f2e444832c72f5be8dd51b8cf18c5f0327128c5e8c

Aliases

arxiv: 1810.01189 · arxiv_version: 1810.01189v2 · doi: 10.48550/arxiv.1810.01189 · pith_short_12: OP5W3IDJX62Q · pith_short_16: OP5W3IDJX62QERMK · pith_short_8: OP5W3IDJ

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/OP5W3IDJX62QERMK4PZOIREDFR \
  | 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: 73fb6da069bfb502458ae3f2e444832c72f5be8dd51b8cf18c5f0327128c5e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf88f522732d48193d11bbaa4de1803da76ca6acbd9f54e9ac0add44873b436d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-02T12:00:07Z",
    "title_canon_sha256": "d54bd1fcdaafbf4ced756f0be8c8a02e80c9df2d97122252b11627fac2adcad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01189",
    "kind": "arxiv",
    "version": 2
  }
}