Pith Number

pith:XCJG3JWH

pith:2011:XCJG3JWHSKA4WAYZSHWO2PZZ4E

not attested not anchored not stored refs pending

Component mixers and a hardness result for counterfeiting quantum money

Andrew Lutomirski

arxiv:1107.0321 v1 · 2011-07-01 · 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{XCJG3JWHSKA4WAYZSHWO2PZZ4E}

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

En Route to a Standard QMA1 vs. QCMA Oracle Separation

Receipt and verification

First computed	2026-05-18T04:18:54.187494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8926da6c79281cb031991eced3f39e101ba62b04b3a9dcfc7d845495a305991

Aliases

arxiv: 1107.0321 · arxiv_version: 1107.0321v1 · doi: 10.48550/arxiv.1107.0321 · pith_short_12: XCJG3JWHSKA4 · pith_short_16: XCJG3JWHSKA4WAYZ · pith_short_8: XCJG3JWH

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/XCJG3JWHSKA4WAYZSHWO2PZZ4E \
  | 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: b8926da6c79281cb031991eced3f39e101ba62b04b3a9dcfc7d845495a305991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b16f90bfa585bead8f1d3f0f4a4db2a65d033134faffdf47c945a8c2fb3e94ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-01T20:00:30Z",
    "title_canon_sha256": "416b9b2177ae64f1b04646a7e4abb015779535188bfae66763e3443b37d13e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0321",
    "kind": "arxiv",
    "version": 1
  }
}