Pith Number

pith:34IGDG5G

pith:2001:34IGDG5GCP6TCO2MYKPO2Y5NWB

not attested not anchored not stored refs pending

A Refinement of Shor's Algorithm

David McAnally

arxiv:quant-ph/0112055 v4 · 2001-12-09 · 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{34IGDG5GCP6TCO2MYKPO2Y5NWB}

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	2026-07-04T14:45:51.372873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df10619ba613fd313b4cc29eed63adb057d5b95b3575154e39f57fe69cf84481

Aliases

arxiv: quant-ph/0112055 · arxiv_version: quant-ph/0112055v4 · doi: 10.48550/arxiv.quant-ph/0112055 · pith_short_12: 34IGDG5GCP6T · pith_short_16: 34IGDG5GCP6TCO2M · pith_short_8: 34IGDG5G

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/34IGDG5GCP6TCO2MYKPO2Y5NWB \
  | 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: df10619ba613fd313b4cc29eed63adb057d5b95b3575154e39f57fe69cf84481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f7ce00b1650fbb507c0170c790e9e20ce1771fd9fd2434fe81d7446c0df096b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-12-09T22:53:28Z",
    "title_canon_sha256": "5e7343c3010067788b17369b8f70a5ad3a5c74d63bc6c1629062a2982375b3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0112055",
    "kind": "arxiv",
    "version": 4
  }
}