Pith Number

pith:7WKO7LXT

pith:2005:7WKO7LXTABBPVP5QT7JQ5P7MAM

not attested not anchored not stored refs pending

NP-complete Problems and Physical Reality

Scott Aaronson

arxiv:quant-ph/0502072 v2 · 2005-02-12 · quant-ph · cs.CC · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WKO7LXTABBPVP5QT7JQ5P7MAM}

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

3 papers in Pith

Nonlinear Hamiltonians and Boolean satisfiability

Quantum algorithm for Valiant-Vazirani reduction

From spin squeezing to fast state discrimination

Receipt and verification

First computed	2026-07-04T14:46:55.347188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd94efaef30042fabfb09fd30ebfec031a633debc1f79571af9ad94d0f42f47e

Aliases

arxiv: quant-ph/0502072 · arxiv_version: quant-ph/0502072v2 · doi: 10.48550/arxiv.quant-ph/0502072 · pith_short_12: 7WKO7LXTABBP · pith_short_16: 7WKO7LXTABBPVP5Q · pith_short_8: 7WKO7LXT

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/7WKO7LXTABBPVP5QT7JQ5P7MAM \
  | 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: fd94efaef30042fabfb09fd30ebfec031a633debc1f79571af9ad94d0f42f47e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32fd59cec261331421925dae5122900413712f4b03dd2d5d2134e0a64979e0c",
    "cross_cats_sorted": [
      "cs.CC",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-02-12T15:14:11Z",
    "title_canon_sha256": "7a57505005ce678a89e885e6276935ba2349fc47f8fc22d010ccbddf2bbc8052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0502072",
    "kind": "arxiv",
    "version": 2
  }
}