Pith Number

pith:QGJTUUZB

pith:2011:QGJTUUZB5XCOYPS23462HMD3NT

not attested not anchored not stored refs pending

The Quantum Walk of F. Riesz

F. A. Grunbaum, L. Velazquez

arxiv:1111.6630 v1 · 2011-11-28 · 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{QGJTUUZB5XCOYPS23462HMD3NT}

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	2026-05-18T04:07:28.860847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81933a5321edc4ec3e5adf3da3b07b6cff7ad1828d718f9954560a53207f163e

Aliases

arxiv: 1111.6630 · arxiv_version: 1111.6630v1 · doi: 10.48550/arxiv.1111.6630 · pith_short_12: QGJTUUZB5XCO · pith_short_16: QGJTUUZB5XCOYPS2 · pith_short_8: QGJTUUZB

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/QGJTUUZB5XCOYPS23462HMD3NT \
  | 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: 81933a5321edc4ec3e5adf3da3b07b6cff7ad1828d718f9954560a53207f163e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "862c89fa608199dd8b48b333109687f1fa3cada623339a19fa020bdf56e6a061",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-28T21:57:58Z",
    "title_canon_sha256": "e45f27efd0e1d943cc384cca9c4937ffe617d5f69785ea043fc34d0a8c98dde2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6630",
    "kind": "arxiv",
    "version": 1
  }
}