Pith Number

pith:3MSJJEU6

pith:2011:3MSJJEU6VCCQUMUPHLIXBSRACH

not attested not anchored not stored refs pending

Discrete-time quantum walks: continuous limit and symmetries

Fabrice Debbasch, Giuseppe Di Molfetta

arxiv:1111.2165 v1 · 2011-11-09 · 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{3MSJJEU6VCCQUMUPHLIXBSRACH}

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	2026-05-18T00:45:54.893240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2494929ea8850a328f3ad170ca2011c74cb71449b76459a530299783b4cb50

Aliases

arxiv: 1111.2165 · arxiv_version: 1111.2165v1 · doi: 10.48550/arxiv.1111.2165 · pith_short_12: 3MSJJEU6VCCQ · pith_short_16: 3MSJJEU6VCCQUMUP · pith_short_8: 3MSJJEU6

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/3MSJJEU6VCCQUMUPHLIXBSRACH \
  | 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: db2494929ea8850a328f3ad170ca2011c74cb71449b76459a530299783b4cb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb39a1099fc7655dc2c34979e455d649f01385bdea874ad0ca651dbe295e481",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-09T10:40:07Z",
    "title_canon_sha256": "9d5c9f9e81fbe64edae680e99647bdc2bdb174972ea3e4e3dea9fe4e611a068b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2165",
    "kind": "arxiv",
    "version": 1
  }
}