Pith Number

pith:SWCTEDKT

pith:2011:SWCTEDKTYWDBZO6ATECKJUXX6Z

not attested not anchored not stored refs pending

On the Recurrence Character of the Hadamard walk in the Plane

Clement Ampadu

arxiv:1110.0681 v1 · 2011-10-02 · 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{SWCTEDKTYWDBZO6ATECKJUXX6Z}

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	2026-05-18T04:11:41.193889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9585320d53c5861cbbc09904a4d2f7f643581deb2c472aa4b719d79d8b8e19c4

Aliases

arxiv: 1110.0681 · arxiv_version: 1110.0681v1 · doi: 10.48550/arxiv.1110.0681 · pith_short_12: SWCTEDKTYWDB · pith_short_16: SWCTEDKTYWDBZO6A · pith_short_8: SWCTEDKT

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/SWCTEDKTYWDBZO6ATECKJUXX6Z \
  | 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: 9585320d53c5861cbbc09904a4d2f7f643581deb2c472aa4b719d79d8b8e19c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c799b163936dd719e7391c4ab64acffdce04d88f787d01e150dfea80c4fc8a8",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-02T14:44:44Z",
    "title_canon_sha256": "8f863d395fd0c5ee08253c0d269ef8aee2e78a73e1b4103dec587f168f184541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0681",
    "kind": "arxiv",
    "version": 1
  }
}