Pith Number

pith:EGT7AGVT

pith:2019:EGT7AGVTDBSOUFDY3P4H7FOGYR

not attested not anchored not stored refs pending

The Number of Minimum $k$-Cuts: Improving the Karger-Stein Bound

Anupam Gupta, Euiwoong Lee, Jason Li

arxiv:1906.00417 v1 · 2019-06-02 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGT7AGVTDBSOUFDY3P4H7FOGYR}

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	2026-05-17T23:44:27.138560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a7f01ab31864ea1478dbf87f95c6c44aaaaae2a615a4658ace8bfaaf7589b7

Aliases

arxiv: 1906.00417 · arxiv_version: 1906.00417v1 · doi: 10.48550/arxiv.1906.00417 · pith_short_12: EGT7AGVTDBSO · pith_short_16: EGT7AGVTDBSOUFDY · pith_short_8: EGT7AGVT

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/EGT7AGVTDBSOUFDY3P4H7FOGYR \
  | 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: 21a7f01ab31864ea1478dbf87f95c6c44aaaaae2a615a4658ace8bfaaf7589b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2117e54ca08b58199090be162dc74b2b7a4d550bf9553ef8747ed540a4478358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-06-02T14:59:12Z",
    "title_canon_sha256": "58f27c70159c193a981a5d7dfdea710ca6ba11c91580977be9ccc8298aa63ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00417",
    "kind": "arxiv",
    "version": 1
  }
}