Pith Number

pith:HG57PZGJ

pith:2005:HG57PZGJMZYFSJSLWRPYNWMNFZ

not attested not anchored not stored refs pending

Quantum Measurements for Graph Isomorphism Require Entanglement: Tight Results on Multiregister Fourier Sampling (Withdrawn)

Alexander Russell, Cristopher Moore

arxiv:quant-ph/0510233 v2 · 2005-10-31 · 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{HG57PZGJMZYFSJSLWRPYNWMNFZ}

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	2026-07-04T14:51:20.257244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bbf7e4c9667059264bb45f86d98d2e6bedcc5c04e463a09bf20c469080cc22

Aliases

arxiv: quant-ph/0510233 · arxiv_version: quant-ph/0510233v2 · doi: 10.48550/arxiv.quant-ph/0510233 · pith_short_12: HG57PZGJMZYF · pith_short_16: HG57PZGJMZYFSJSL · pith_short_8: HG57PZGJ

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/HG57PZGJMZYFSJSLWRPYNWMNFZ \
  | 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: 39bbf7e4c9667059264bb45f86d98d2e6bedcc5c04e463a09bf20c469080cc22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66166620204e8ec89b08b4d61184b9a9edd16dbb96b871fae0cc3c1cee25be6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-10-31T20:35:42Z",
    "title_canon_sha256": "e9f60c7b7601dec0ac8509fc65cbce59eee5bf59b7315bb2207d4a8e628fba11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0510233",
    "kind": "arxiv",
    "version": 2
  }
}