Pith Number

pith:PU7W4EDE

pith:2021:PU7W4EDEWPCQMTUSJHLYSHGII5

not attested not anchored not stored refs pending

Equivalent Laplacian and Adjacency Quantum Walks on Irregular Graphs

Joshua Lockhart, Thomas G. Wong

arxiv:2107.05580 v2 · 2021-07-12 · 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{PU7W4EDEWPCQMTUSJHLYSHGII5}

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	2026-07-05T03:25:15.999650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3f6e1064b3c5064e9249d7891cc8476989260e125b7078de71190f763e26e1

Aliases

arxiv: 2107.05580 · arxiv_version: 2107.05580v2 · doi: 10.48550/arxiv.2107.05580 · pith_short_12: PU7W4EDEWPCQ · pith_short_16: PU7W4EDEWPCQMTUS · pith_short_8: PU7W4EDE

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/PU7W4EDEWPCQMTUSJHLYSHGII5 \
  | 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: 7d3f6e1064b3c5064e9249d7891cc8476989260e125b7078de71190f763e26e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c865ffd1a9b1305e4e15ccf1cd31d6923c974784b406997022d41b7f63c0412a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-07-12T16:59:06Z",
    "title_canon_sha256": "45165684e190fe13d1e796698e48fe909ff87c965b8221ed693d39f5ba6eec11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05580",
    "kind": "arxiv",
    "version": 2
  }
}