Pith Number

pith:WLRL4QLD

pith:2005:WLRL4QLDSBNHD7P3T6Y7R3AJWX

not attested not anchored not stored refs pending

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

Alexander Russell, Cristopher Moore

arxiv:quant-ph/0511149 v1 · 2005-11-15 · 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{WLRL4QLDSBNHD7P3T6Y7R3AJWX}

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	2026-07-04T14:51:51.377229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e2be4163905a71fdfb9fb1f8ec09b5dd375f71fb4dfc88fce02a4459332920

Aliases

arxiv: quant-ph/0511149 · arxiv_version: quant-ph/0511149v1 · doi: 10.48550/arxiv.quant-ph/0511149 · pith_short_12: WLRL4QLDSBNH · pith_short_16: WLRL4QLDSBNHD7P3 · pith_short_8: WLRL4QLD

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/WLRL4QLDSBNHD7P3T6Y7R3AJWX \
  | 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: b2e2be4163905a71fdfb9fb1f8ec09b5dd375f71fb4dfc88fce02a4459332920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64324a6ffa1179060003c8543d616b95da545f78a46b8754e05b6a90446efcb5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-11-15T21:51:24Z",
    "title_canon_sha256": "a1f24b3628e776fc7c79db0c6ea95657bf6b5a97c44f917a9d6dd5149e236418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0511149",
    "kind": "arxiv",
    "version": 1
  }
}