Pith Number

pith:RMXKHKH5

pith:2026:RMXKHKH5XHTMTZ7UNNNUO3JQOU

not attested not anchored not stored refs pending

Computational Thresholds for Balanced and Fixed-Slice Independent Sets in Bipartite Graphs

Ijay Narang, Timothy L. H. Wee, Will Perkins, Yuzhou Wang

arxiv:2608.02503 v1 · 2026-08-03 · cs.DS · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMXKHKH5XHTMTZ7UNNNUO3JQOU}

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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.

Cited by

1 paper in Pith

The Hard-Core Model on Bipartite Spectral Expanders: Counting and Sampling at All Fugacities

Receipt and verification

First computed	2026-08-04T02:43:50.866166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2ea3a8fdb9e6c9e7f46b5b476d30751b9f154bf11f5a6449227faec8f42161

Aliases

arxiv: 2608.02503 · arxiv_version: 2608.02503v1 · doi: 10.48550/arxiv.2608.02503 · pith_short_12: RMXKHKH5XHTM · pith_short_16: RMXKHKH5XHTMTZ7U · pith_short_8: RMXKHKH5

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/RMXKHKH5XHTMTZ7UNNNUO3JQOU \
  | 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: 8b2ea3a8fdb9e6c9e7f46b5b476d30751b9f154bf11f5a6449227faec8f42161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdc0c813c9c5e0ea0068324bd094dec0078e0fbf7be598c9d6b7155306ddf78e",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-03T17:05:02Z",
    "title_canon_sha256": "9fbcd134dd4a8e381173162f22ba41bc9af4d959c3a670d941d62cea42345711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02503",
    "kind": "arxiv",
    "version": 1
  }
}