Pith Number

pith:4Y5JQIHK

pith:2019:4Y5JQIHKHOFT2SZOJRFS5OYQH5

not attested not anchored not stored refs pending

Quantum walks: Schur functions meet symmetry protected topological phases

A. H. Werner, C. Cedzich, F. A. Gr\"unbaum, L. Vel\'azquez, R. F. Werner, T. Geib

arxiv:1903.07494 v2 · 2019-03-18 · math-ph · math.CA · math.CV · math.FA · 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{4Y5JQIHKHOFT2SZOJRFS5OYQH5}

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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.

Cited by

1 paper in Pith

Mobility edges in pseudo-unitary quasiperiodic quantum walks

Receipt and verification

First computed	2026-07-05T04:25:07.158514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e63a9820ea3b8b3d4b2e4c4b2ebb103f58db4346d0407cbbae23b5d435fda887

Aliases

arxiv: 1903.07494 · arxiv_version: 1903.07494v2 · doi: 10.48550/arxiv.1903.07494 · pith_short_12: 4Y5JQIHKHOFT · pith_short_16: 4Y5JQIHKHOFT2SZO · pith_short_8: 4Y5JQIHK

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/4Y5JQIHKHOFT2SZOJRFS5OYQH5 \
  | 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: e63a9820ea3b8b3d4b2e4c4b2ebb103f58db4346d0407cbbae23b5d435fda887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f646b9005d78a7b56e048a7682f9a57120de18622c74d11d0f6325d35e4b2cb2",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-03-18T15:00:27Z",
    "title_canon_sha256": "6b2732c7e19dd06f7bb34ed266f7b2428523ae7feea6d5bebb67844c5ea7e4df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07494",
    "kind": "arxiv",
    "version": 2
  }
}