Pith Number

pith:JKS6FGUN

pith:2016:JKS6FGUN2VQ5BPCAANAREEU3W7

not attested not anchored not stored refs pending

Bottom crossing probability for symmetric jump processes (full version)

Yuichi Shiozawa

arxiv:1609.06812 v2 · 2016-09-22 · 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{JKS6FGUN2VQ5BPCAANAREEU3W7}

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	2026-05-18T00:54:59.940836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa5e29a8dd561d0bc40034112129bb7cfe718bef969e08dbeb5d699f93f18c0

Aliases

arxiv: 1609.06812 · arxiv_version: 1609.06812v2 · doi: 10.48550/arxiv.1609.06812 · pith_short_12: JKS6FGUN2VQ5 · pith_short_16: JKS6FGUN2VQ5BPCA · pith_short_8: JKS6FGUN

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/JKS6FGUN2VQ5BPCAANAREEU3W7 \
  | 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: 4aa5e29a8dd561d0bc40034112129bb7cfe718bef969e08dbeb5d699f93f18c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e643564520e72e7509619fb9761a3d35517b6b81c5adff02f38ea047848db43b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-22T04:20:14Z",
    "title_canon_sha256": "fde871ef6677ad7a7f95631e95e5cd7d10b5c0ac9f34299c3e766bd1043d3c39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06812",
    "kind": "arxiv",
    "version": 2
  }
}