Pith Number

pith:HH4O3QDE

pith:2013:HH4O3QDETYQVBJW4WIO3HSLEYS

not attested not anchored not stored refs pending

Factoring 51 and 85 with 8 qubits

Michael R. Geller, Zhongyuan Zhou

arxiv:1304.0128 v1 · 2013-03-30 · 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{HH4O3QDETYQVBJW4WIO3HSLEYS}

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	2026-05-18T01:32:58.015997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f8edc0649e2150a6dcb21db3c964c488a8f276bb456b34fddc74dfff14753c

Aliases

arxiv: 1304.0128 · arxiv_version: 1304.0128v1 · doi: 10.48550/arxiv.1304.0128 · pith_short_12: HH4O3QDETYQV · pith_short_16: HH4O3QDETYQVBJW4 · pith_short_8: HH4O3QDE

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/HH4O3QDETYQVBJW4WIO3HSLEYS \
  | 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: 39f8edc0649e2150a6dcb21db3c964c488a8f276bb456b34fddc74dfff14753c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1dbae89f3b2b3e4ce45ba802fca9584ed79e7eb0725be990a8464a3b19e33f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-03-30T17:43:36Z",
    "title_canon_sha256": "ed8c50e52a32907680e73f83fd1fad30225fc0aeff2f42a7ffdc18b0f38355d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0128",
    "kind": "arxiv",
    "version": 1
  }
}