Pith Number

pith:5FK6PVD7

pith:2017:5FK6PVD7JYCIFLJPUGMK2SDQZX

not attested not anchored not stored refs pending

Open quantum random walks on the half-line: the Karlin-McGregor formula, path counting and Foster's Theorem

Carlos F. Lardizabal, Thomas S. Jacq

arxiv:1701.08400 v3 · 2017-01-29 · 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{5FK6PVD7JYCIFLJPUGMK2SDQZX}

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	2026-05-18T00:30:55.274557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e955e7d47f4e0482ad2fa198ad4870cde81ab01745a7c227ad285437dddf9dd0

Aliases

arxiv: 1701.08400 · arxiv_version: 1701.08400v3 · doi: 10.48550/arxiv.1701.08400 · pith_short_12: 5FK6PVD7JYCI · pith_short_16: 5FK6PVD7JYCIFLJP · pith_short_8: 5FK6PVD7

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/5FK6PVD7JYCIFLJPUGMK2SDQZX \
  | 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: e955e7d47f4e0482ad2fa198ad4870cde81ab01745a7c227ad285437dddf9dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7eaaae245e5ce8d18dd1355baa9e27bba387040a797d0a4ef3ea1a17b027f7a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-29T16:49:46Z",
    "title_canon_sha256": "84057480ef90008b74f543d4dfb427e701d3f3c556be7c49f29a471a1e216dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08400",
    "kind": "arxiv",
    "version": 3
  }
}