Pith Number

pith:EDXL4KRT

pith:2011:EDXL4KRTIG4TB3SWOQZFGOPON4

not attested not anchored not stored refs pending

Limit Theorems For the Grover Walk Without Memory

Clement Ampadu

arxiv:1108.4149 v1 · 2011-08-20 · 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{EDXL4KRTIG4TB3SWOQZFGOPON4}

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	2026-05-18T04:14:56.040172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20eebe2a3341b930ee5674325339ee6f27ef69d71415a56114af793a312b2a82

Aliases

arxiv: 1108.4149 · arxiv_version: 1108.4149v1 · doi: 10.48550/arxiv.1108.4149 · pith_short_12: EDXL4KRTIG4T · pith_short_16: EDXL4KRTIG4TB3SW · pith_short_8: EDXL4KRT

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/EDXL4KRTIG4TB3SWOQZFGOPON4 \
  | 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: 20eebe2a3341b930ee5674325339ee6f27ef69d71415a56114af793a312b2a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbad6b78220855efb8996d53ba1fef1125be5255c2902bc1728adb63f6667b9f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-20T23:50:01Z",
    "title_canon_sha256": "04ed959f4c84a8da6d2c342d7160a241b0d7f3268b68dea85797a027aa603903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4149",
    "kind": "arxiv",
    "version": 1
  }
}