Pith Number

pith:4R4AALM6

pith:2015:4R4AALM64XCA22R6VHV4YYQIVJ

not attested not anchored not stored refs pending

Separations in query complexity using cheat sheets

Robin Kothari, Scott Aaronson, Shalev Ben-David

arxiv:1511.01937 v2 · 2015-11-05 · quant-ph · 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{4R4AALM64XCA22R6VHV4YYQIVJ}

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.

Cited by

1 paper in Pith

Span Programs and Quantum Space Complexity

Receipt and verification

First computed	2026-05-17T23:41:13.748128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e478002d9ee5c40d6a3ea9ebcc6208aa430fb32aca23dafbc0f6f2e85df51285

Aliases

arxiv: 1511.01937 · arxiv_version: 1511.01937v2 · doi: 10.48550/arxiv.1511.01937 · pith_short_12: 4R4AALM64XCA · pith_short_16: 4R4AALM64XCA22R6 · pith_short_8: 4R4AALM6

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/4R4AALM64XCA22R6VHV4YYQIVJ \
  | 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: e478002d9ee5c40d6a3ea9ebcc6208aa430fb32aca23dafbc0f6f2e85df51285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dced25a4144c199d75b2c1e117ddb41e24ade4064ba7b9a943e2c235b0635132",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-05T22:31:22Z",
    "title_canon_sha256": "bdb5b00f3e9b5e02ae10b4ecf41dade9a0d8ac2fab8c843a848e1f9119b56c38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01937",
    "kind": "arxiv",
    "version": 2
  }
}