Pith Number

pith:5FFXYXGY

pith:2007:5FFXYXGY55P7FWXABLLGBQ2J6Q

not attested not anchored not stored refs pending

Tunnelling in quantum superlattices with variable lacunarity

Francisco R. Villatoro, Juan A. Monsoriu

arxiv:quant-ph/0702042 v2 · 2007-02-05 · 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{5FFXYXGY55P7FWXABLLGBQ2J6Q}

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	2026-05-18T03:48:25.183024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94b7c5cd8ef5ff2dae00ad660c349f43448d552f1d8d3682b5c98f82394e71b

Aliases

arxiv: quant-ph/0702042 · arxiv_version: quant-ph/0702042v2 · doi: 10.48550/arxiv.quant-ph/0702042 · pith_short_12: 5FFXYXGY55P7 · pith_short_16: 5FFXYXGY55P7FWXA · pith_short_8: 5FFXYXGY

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/5FFXYXGY55P7FWXABLLGBQ2J6Q \
  | 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: e94b7c5cd8ef5ff2dae00ad660c349f43448d552f1d8d3682b5c98f82394e71b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f59768e1f10ce19f4442704f36106959027ead63381ed0f3986468d3ac1d354",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-02-05T19:47:42Z",
    "title_canon_sha256": "7088d7408b9f0db40f2bfacc4f204bc23f121290a7538123f4910724ea571226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0702042",
    "kind": "arxiv",
    "version": 2
  }
}