Pith Number

pith:2MLNTHXK

pith:2012:2MLNTHXKHYC4RSOKHNG232O5IN

not attested not anchored not stored refs pending

Ito's formula for the discrete-time quantum walk in two dimensions

Clement Ampadu

arxiv:1203.0935 v1 · 2012-03-05 · 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{2MLNTHXKHYC4RSOKHNG232O5IN}

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	2026-05-18T04:00:50.047560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d316d99eea3e05c8c9ca3b4dade9dd437b233f858239afc84817a3f40442dc8f

Aliases

arxiv: 1203.0935 · arxiv_version: 1203.0935v1 · doi: 10.48550/arxiv.1203.0935 · pith_short_12: 2MLNTHXKHYC4 · pith_short_16: 2MLNTHXKHYC4RSOK · pith_short_8: 2MLNTHXK

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/2MLNTHXKHYC4RSOKHNG232O5IN \
  | 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: d316d99eea3e05c8c9ca3b4dade9dd437b233f858239afc84817a3f40442dc8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa751d298e267a500a290ddfc594e35f9602d84f8445159d709ada3c7ffa78c",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-05T14:49:06Z",
    "title_canon_sha256": "ac111f2be89632a7189b6ce63d7c1a32e3c5d9233713ef577e91daa8b812e4a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0935",
    "kind": "arxiv",
    "version": 1
  }
}