Pith Number

pith:S43XTFJT

pith:2011:S43XTFJT2A3WLDMWPPEXUUTR6M

not attested not anchored not stored refs pending

On the von Neumann and Shannon Entropies for Quantum Walks on Z^2

Clement Ampadu

arxiv:1109.1600 v2 · 2011-09-07 · math-ph · math.MP · 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{S43XTFJT2A3WLDMWPPEXUUTR6M}

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	2026-05-18T04:04:44.709180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9737799533d037658d967bc97a5271f33f4e24fcad9845c5d5f8ad2c085cf2b3

Aliases

arxiv: 1109.1600 · arxiv_version: 1109.1600v2 · doi: 10.48550/arxiv.1109.1600 · pith_short_12: S43XTFJT2A3W · pith_short_16: S43XTFJT2A3WLDMW · pith_short_8: S43XTFJT

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/S43XTFJT2A3WLDMWPPEXUUTR6M \
  | 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: 9737799533d037658d967bc97a5271f33f4e24fcad9845c5d5f8ad2c085cf2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f8ff3369c2398f5ae68ec1f066c3135ae5cd045c5b73cd85cea6b077f03b54",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-07T23:21:39Z",
    "title_canon_sha256": "19182a2b1b3e24a6791faf97e26a9a6ea3c57950b69a558a7a55b9fae834194a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1600",
    "kind": "arxiv",
    "version": 2
  }
}