Pith Number

pith:3LN2JLLD

pith:2026:3LN2JLLDVHXGP3DFGR4RKDVZ2L

not attested not anchored not stored refs pending

Quantum random walks on d-regular graphs with Haar-random coin operators

Alice C. Quillen

arxiv:2607.04584 v1 · 2026-07-06 · 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{3LN2JLLDVHXGP3DFGR4RKDVZ2L}

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	2026-07-07T02:19:25.828417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dadba4ad63a9ee67ec653479150eb9d2c5783eeec6049063147b812a0aa21050

Aliases

arxiv: 2607.04584 · arxiv_version: 2607.04584v1 · doi: 10.48550/arxiv.2607.04584 · pith_short_12: 3LN2JLLDVHXG · pith_short_16: 3LN2JLLDVHXGP3DF · pith_short_8: 3LN2JLLD

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/3LN2JLLDVHXGP3DFGR4RKDVZ2L \
  | 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: dadba4ad63a9ee67ec653479150eb9d2c5783eeec6049063147b812a0aa21050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde0a1c9766b371ea2b863348123e536d2e83fccc47878eb9f6bd19f2093a112",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-06T01:22:00Z",
    "title_canon_sha256": "8b9451d99431429dd1704e18e6eeae49257ed5d08d56e9637b32d071f8832cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04584",
    "kind": "arxiv",
    "version": 1
  }
}