Pith Number

pith:4D6CZCBA

pith:2022:4D6CZCBAYO4YFAYQ366YZXWVWV

not attested not anchored not stored refs pending

Limit theorems and localization of three state quantum walks on a line defined by generalized Grover coins

Amrita Mandal, Bibhas Adhikari, Rohit Sarma Sarkar, Shantanav Chakraborty

arxiv:2204.05625 v2 · 2022-04-12 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4D6CZCBAYO4YFAYQ366YZXWVWV}

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	2026-07-05T05:07:41.351065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fc2c8820c3b9828310dfbd8cded5b5667535c4196a790d74a428e83897a266

Aliases

arxiv: 2204.05625 · arxiv_version: 2204.05625v2 · doi: 10.48550/arxiv.2204.05625 · pith_short_12: 4D6CZCBAYO4Y · pith_short_16: 4D6CZCBAYO4YFAYQ · pith_short_8: 4D6CZCBA

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/4D6CZCBAYO4YFAYQ366YZXWVWV \
  | 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: e0fc2c8820c3b9828310dfbd8cded5b5667535c4196a790d74a428e83897a266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be2ab97b4777ef1b70b88060da0e66750aec4ae853bb7ca61418be0fa1148b0a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-04-12T08:34:10Z",
    "title_canon_sha256": "e12e2571a6869f4c21a5822f2d8af4b615dd03a205681d716b499c58dcb16cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.05625",
    "kind": "arxiv",
    "version": 2
  }
}