Pith Number

pith:TY5U3FQV

pith:2018:TY5U3FQVSAN73YQ7ON5CHXPND6

not attested not anchored not stored refs pending

Space-homogeneous quantum walks on Z from the viewpoint of complex analysis

Hayato Saigo, Hiroki Sako

arxiv:1802.01837 v1 · 2018-02-06 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY5U3FQVSAN73YQ7ON5CHXPND6}

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	2026-05-18T00:24:21.136575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3b4d9615901bfde21f737a23dded1f83b992a851e76643e2c1dada1f478990

Aliases

arxiv: 1802.01837 · arxiv_version: 1802.01837v1 · doi: 10.48550/arxiv.1802.01837 · pith_short_12: TY5U3FQVSAN7 · pith_short_16: TY5U3FQVSAN73YQ7 · pith_short_8: TY5U3FQV

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/TY5U3FQVSAN73YQ7ON5CHXPND6 \
  | 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: 9e3b4d9615901bfde21f737a23dded1f83b992a851e76643e2c1dada1f478990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039b256017555a38a8dd55e16ff9983de2155681b2b79c3c686063e469e8813e",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-06T08:05:36Z",
    "title_canon_sha256": "d442369e5b48b289debfa71607e7520a26858c85412d7d421e9da4f4bf1f36d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01837",
    "kind": "arxiv",
    "version": 1
  }
}