Pith Number

pith:IOGISJS3

pith:2009:IOGISJS3YKY4PNC5UEB6PMZHX4

not attested not anchored not stored refs pending

Tight Thresholds for Cuckoo Hashing via XORSAT

Andrea Montanari, Andreas Goerdt, Martin Dietzfelbinger, Michael Mitzenmacher, Michael Rink, Rasmus Pagh

arxiv:0912.0287 v3 · 2009-12-01 · 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{IOGISJS3YKY4PNC5UEB6PMZHX4}

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	2026-05-18T04:32:54.574735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438c89265bc2b1c7b45da103e7b327bf0e9b6835fa90178fdfe6f85b67d6c47a

Aliases

arxiv: 0912.0287 · arxiv_version: 0912.0287v3 · doi: 10.48550/arxiv.0912.0287 · pith_short_12: IOGISJS3YKY4 · pith_short_16: IOGISJS3YKY4PNC5 · pith_short_8: IOGISJS3

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/IOGISJS3YKY4PNC5UEB6PMZHX4 \
  | 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: 438c89265bc2b1c7b45da103e7b327bf0e9b6835fa90178fdfe6f85b67d6c47a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa679d767e9200d089a79fcefdac967e20b43d6f244ceba197a48c10c229506f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2009-12-01T22:23:48Z",
    "title_canon_sha256": "230aac83c47864bc97a34d242f766943b8fc757770da212530eb14b5e0ab2473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0287",
    "kind": "arxiv",
    "version": 3
  }
}