Pith Number

pith:5YDMGHCJ

pith:2016:5YDMGHCJMCDTI27ZSLYPHRPOCX

not attested not anchored not stored refs pending

Passage times, exit times and Dirichlet problems for open quantum walks

Denis Bernard (LPTENS), Ivan Bardet (ICJ), Yan Pautrat (LM-Orsay)

arxiv:1610.06772 v1 · 2016-10-21 · 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{5YDMGHCJMCDTI27ZSLYPHRPOCX}

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	2026-05-18T00:31:00.321553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee06c31c496087346bf992f0f3c5ee15e290f524e2ada5bae0902010b9ae633a

Aliases

arxiv: 1610.06772 · arxiv_version: 1610.06772v1 · doi: 10.48550/arxiv.1610.06772 · pith_short_12: 5YDMGHCJMCDT · pith_short_16: 5YDMGHCJMCDTI27Z · pith_short_8: 5YDMGHCJ

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/5YDMGHCJMCDTI27ZSLYPHRPOCX \
  | 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: ee06c31c496087346bf992f0f3c5ee15e290f524e2ada5bae0902010b9ae633a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fafef41f93d3a65773f39702ecb6c501e1036a1cedcffcc29ee962cb45d4ef77",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-21T13:07:49Z",
    "title_canon_sha256": "8f4f33b4f96bcb2d7377fd5734325d92fc3276c4f76cd224e98a28cf219a8c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06772",
    "kind": "arxiv",
    "version": 1
  }
}