Pith Number

pith:CYZ4RNF5

pith:2008:CYZ4RNF55XFYQ6CBZN5RT5KPIB

not attested not anchored not stored refs pending

Closed Timelike Curves Make Quantum and Classical Computing Equivalent

John Watrous, Scott Aaronson

arxiv:0808.2669 v1 · 2008-08-19 · 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{CYZ4RNF55XFYQ6CBZN5RT5KPIB}

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	2026-07-04T17:12:24.757504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1633c8b4bdedcb887841cb7b19f54f4069216e93f00e4a111e451917918d4fb3

Aliases

arxiv: 0808.2669 · arxiv_version: 0808.2669v1 · doi: 10.48550/arxiv.0808.2669 · pith_short_12: CYZ4RNF55XFY · pith_short_16: CYZ4RNF55XFYQ6CB · pith_short_8: CYZ4RNF5

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/CYZ4RNF55XFYQ6CBZN5RT5KPIB \
  | 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: 1633c8b4bdedcb887841cb7b19f54f4069216e93f00e4a111e451917918d4fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea839a0aec39936dc273af17055daeca0d9ec1abb3b509ee9f20727a4c241d5",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-08-19T23:04:28Z",
    "title_canon_sha256": "c1510a66a5ef25e94636f071a2ea9aca08e47b7967a479630569228088f67958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2669",
    "kind": "arxiv",
    "version": 1
  }
}