Pith Number

pith:3EP4TSPP

pith:2003:3EP4TSPP36VQOOCSWNPII2Q5W7

not attested not anchored not stored refs pending

Quantum lower bounds for the set equality problems

Gatis Midrijanis

arxiv:quant-ph/0309068 v2 · 2003-09-08 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EP4TSPP36VQOOCSWNPII2Q5W7}

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	2026-07-04T14:49:18.305344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91fc9c9efdfab073852b35e846a1db7fe8271f8b9a8359f063e6dc7f64dad8b

Aliases

arxiv: quant-ph/0309068 · arxiv_version: quant-ph/0309068v2 · doi: 10.48550/arxiv.quant-ph/0309068 · pith_short_12: 3EP4TSPP36VQ · pith_short_16: 3EP4TSPP36VQOOCS · pith_short_8: 3EP4TSPP

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/3EP4TSPP36VQOOCSWNPII2Q5W7 \
  | 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: d91fc9c9efdfab073852b35e846a1db7fe8271f8b9a8359f063e6dc7f64dad8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20591d0a57a4331da5d85a9ecc81092e81f6ca190f5b8ecbebe342a88560d17",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-08T13:51:00Z",
    "title_canon_sha256": "761ace9dbf150458a621d64afefeb0c9310176844faa20056195324d609e5e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309068",
    "kind": "arxiv",
    "version": 2
  }
}