Pith Number

pith:2RAP4QOM

pith:2006:2RAP4QOMDFNWFBG4FC7QUAWGKM

not attested not anchored not stored refs pending

BQP-complete Problems Concerning Mixing Properties of Classical Random Walks on Sparse Graphs

Dominik Janzing, Pawel Wocjan

arxiv:quant-ph/0610235 v2 · 2006-10-27 · 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{2RAP4QOMDFNWFBG4FC7QUAWGKM}

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	2026-07-04T14:57:46.665787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d440fe41cc195b6284dc28bf0a02c6530622abe5f688cfc45d8175aeb7d5f523

Aliases

arxiv: quant-ph/0610235 · arxiv_version: quant-ph/0610235v2 · doi: 10.48550/arxiv.quant-ph/0610235 · pith_short_12: 2RAP4QOMDFNW · pith_short_16: 2RAP4QOMDFNWFBG4 · pith_short_8: 2RAP4QOM

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/2RAP4QOMDFNWFBG4FC7QUAWGKM \
  | 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: d440fe41cc195b6284dc28bf0a02c6530622abe5f688cfc45d8175aeb7d5f523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3c2b8cb26b2c0621d3c77f5596e77cfb97a19972d53d2d928e5b458fcf2469",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-27T10:44:55Z",
    "title_canon_sha256": "942f9c099631e2ba7942e38e9cf6ca22fe5b743facdffbe27609f28f24b7763a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610235",
    "kind": "arxiv",
    "version": 2
  }
}