Pith Number

pith:TUNSTK6G

pith:2018:TUNSTK6GRD4HAOSXGOWWQRUE3H

not attested not anchored not stored refs pending

Quantum reflections, random walks and cut-off

Amaury Freslon

arxiv:1802.09402 v2 · 2018-02-26 · math.PR · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUNSTK6GRD4HAOSXGOWWQRUE3H}

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	2026-05-18T00:11:57.290526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d1b29abc688f8703a5733ad684684d9d6bd731f4da8056c3f43c2334d8d0729

Aliases

arxiv: 1802.09402 · arxiv_version: 1802.09402v2 · doi: 10.48550/arxiv.1802.09402 · pith_short_12: TUNSTK6GRD4H · pith_short_16: TUNSTK6GRD4HAOSX · pith_short_8: TUNSTK6G

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/TUNSTK6GRD4HAOSXGOWWQRUE3H \
  | 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: 9d1b29abc688f8703a5733ad684684d9d6bd731f4da8056c3f43c2334d8d0729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda0930f5d3ba3aff5b5fa48b78ef89c67f0329bb4fb35d2c4116a6cf1442ae2",
    "cross_cats_sorted": [
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-02-26T15:31:00Z",
    "title_canon_sha256": "aa3c04fa5b4cd710b7e323068af6c7c205db47df187b0f7dad8446eb6701f314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09402",
    "kind": "arxiv",
    "version": 2
  }
}