Pith Number

pith:UE5KUZ6K

pith:2013:UE5KUZ6KB2C7DTDLHFNHLPF7PM

not attested not anchored not stored refs pending

Gumbel distribution in exit problems

Yuri Bakhtin

arxiv:1307.7060 v2 · 2013-07-26 · 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{UE5KUZ6KB2C7DTDLHFNHLPF7PM}

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	2026-05-18T03:05:25.879583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13aaa67ca0e85f1cc6b395a75bcbf7b0452de7075fc2acb81ea8969a8df463f

Aliases

arxiv: 1307.7060 · arxiv_version: 1307.7060v2 · doi: 10.48550/arxiv.1307.7060 · pith_short_12: UE5KUZ6KB2C7 · pith_short_16: UE5KUZ6KB2C7DTDL · pith_short_8: UE5KUZ6K

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/UE5KUZ6KB2C7DTDLHFNHLPF7PM \
  | 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: a13aaa67ca0e85f1cc6b395a75bcbf7b0452de7075fc2acb81ea8969a8df463f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b227284be97a5f3d976df231d0143f0e342bc8bc1d6fb5661c100025d1110fd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-26T15:06:37Z",
    "title_canon_sha256": "14862c52c1c2c6caf80149f4f413d95ec961ef125a504d53e716d3ece6ae5c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7060",
    "kind": "arxiv",
    "version": 2
  }
}