Pith Number

pith:ZVHKX4PE

pith:2021:ZVHKX4PEEYJ4ORBARHAKWKTJDQ

not attested not anchored not stored refs pending

On the Optimal Time/Space Tradeoff for Hash Tables

John Kuszmaul, Mart\'in Farach-Colton, Michael A. Bender, Mingmou Liu, William Kuszmaul

arxiv:2111.00602 v2 · 2021-10-31 · 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{ZVHKX4PEEYJ4ORBARHAKWKTJDQ}

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	2026-07-05T03:29:04.541601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4eabf1e42613c7442089c0ab2a691c2ab030c96540b62f8a7f27595bcf4d38

Aliases

arxiv: 2111.00602 · arxiv_version: 2111.00602v2 · doi: 10.48550/arxiv.2111.00602 · pith_short_12: ZVHKX4PEEYJ4 · pith_short_16: ZVHKX4PEEYJ4ORBA · pith_short_8: ZVHKX4PE

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/ZVHKX4PEEYJ4ORBARHAKWKTJDQ \
  | 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: cd4eabf1e42613c7442089c0ab2a691c2ab030c96540b62f8a7f27595bcf4d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c949da7a16a188a41ac8abb59b2a45f4f4788ed4b53ef538587f91b37d897043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-10-31T21:58:06Z",
    "title_canon_sha256": "0d3599c4a5860eb0a93ed46e68ca2dd8b8f19412c472fd420f4f6d05a6e4456e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00602",
    "kind": "arxiv",
    "version": 2
  }
}