Pith Number

pith:734YCCI5

pith:2026:734YCCI5RYOYHTJ3TIWK52WZ7V

not attested not anchored not stored refs pending

An $\Omega(n \log n)$ Randomized Lower Bound for Cutting a Cake into Proportionally Fair Pieces

Kirk Pruhs (university of Pittsburgh), Stephen Arndt (Carnegie Mellon University), Trung Tran (University of Pittsburgh)

arxiv:2605.21829 v1 · 2026-05-20 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{734YCCI5RYOYHTJ3TIWK52WZ7V}

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	2026-05-22T01:04:09.829708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef981091d8e1d83cd3b9a2caeead9fd742f042cc157d00efd996dae5346af4f

Aliases

arxiv: 2605.21829 · arxiv_version: 2605.21829v1 · doi: 10.48550/arxiv.2605.21829 · pith_short_12: 734YCCI5RYOY · pith_short_16: 734YCCI5RYOYHTJ3 · pith_short_8: 734YCCI5

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/734YCCI5RYOYHTJ3TIWK52WZ7V \
  | 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: fef981091d8e1d83cd3b9a2caeead9fd742f042cc157d00efd996dae5346af4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8e084d788ff9686fd2a4f2b79c7f4ce0e68fb95baff9cfa7d54b6f919f2d13",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-05-20T23:51:30Z",
    "title_canon_sha256": "fe694313da66d56c46a0e29891910b7634ccbeb618d124f2f0fdcff62894d82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21829",
    "kind": "arxiv",
    "version": 1
  }
}