Pith Number

pith:OA5OIBBZ

pith:2016:OA5OIBBZZYZ43SDVODEX2BI4UK

not attested not anchored not stored refs pending

The Complexity of Quantum States and Transformations: From Quantum Money to Black Holes

Scott Aaronson

arxiv:1607.05256 v1 · 2016-07-18 · 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{OA5OIBBZZYZ43SDVODEX2BI4UK}

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

10 papers in Pith

Rethinking quantum information in gravity and fields

Query and Depth Upper Bounds for Quantum Unitaries via Grover Search

Quantum Circuit Overhead

Certifying localizable quantum properties with constant sample complexity

From Fundamental Dynamics to Applied Cryptography: Studies on the Quantum Speed Limit and Fully Passive Quantum Key Distribution

Receipt and verification

First computed	2026-05-18T01:10:55.573097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

703ae40439ce33cdc87570c97d051ca29faccba94faf3defab9115fb43efa0f0

Aliases

arxiv: 1607.05256 · arxiv_version: 1607.05256v1 · doi: 10.48550/arxiv.1607.05256 · pith_short_12: OA5OIBBZZYZ4 · pith_short_16: OA5OIBBZZYZ43SDV · pith_short_8: OA5OIBBZ

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/OA5OIBBZZYZ43SDVODEX2BI4UK \
  | 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: 703ae40439ce33cdc87570c97d051ca29faccba94faf3defab9115fb43efa0f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d09463a2a518b24da47488aad59bc6c5241bae557ad95d63af4f2909c428c2cc",
    "cross_cats_sorted": [
      "cs.CC",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-18T19:46:48Z",
    "title_canon_sha256": "66b93a22f26e214efb7f57b65db874ca41004cd857e74a03ac6878555b5f817e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05256",
    "kind": "arxiv",
    "version": 1
  }
}