Pith Number

pith:UJLWPJEN

pith:2026:UJLWPJENCZ5BY4YBHBFYYC6AS2

not attested not anchored not stored refs pending

Quantum Lazy Sampling and Path Recording for Any Group

Alex Lombardi, Barak Nehoran, Ben Foxman, Fermi Ma, John Wright

arxiv:2606.30281 v1 · 2026-06-29 · quant-ph · cs.CC · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJLWPJENCZ5BY4YBHBFYYC6AS2}

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	2026-06-30T02:17:57.339088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25767a48d167a1c7301384b8c0bc09684e69f09a226177d3d6fdf8df82fe0ce

Aliases

arxiv: 2606.30281 · arxiv_version: 2606.30281v1 · doi: 10.48550/arxiv.2606.30281 · pith_short_12: UJLWPJENCZ5B · pith_short_16: UJLWPJENCZ5BY4YB · pith_short_8: UJLWPJEN

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/UJLWPJENCZ5BY4YBHBFYYC6AS2 \
  | 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: a25767a48d167a1c7301384b8c0bc09684e69f09a226177d3d6fdf8df82fe0ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279e5cea9e58faf9f9ec681166034d1f7adb9ea271ff7468117581fcb1b6e949",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-29T13:23:17Z",
    "title_canon_sha256": "06b66b384e4b47b214f3480e8e00d4dcf0e560397bde6bb0506cda66bdb24c9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30281",
    "kind": "arxiv",
    "version": 1
  }
}