Pith Number

pith:K22PP4I5

pith:2015:K22PP4I5H4QJF5ONFDZKXDY6K2

not attested not anchored not stored refs pending

Sparre-Andersen identity and the last passage time

Jevgenijs Ivanovs

arxiv:1501.04542 v2 · 2015-01-19 · 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{K22PP4I5H4QJF5ONFDZKXDY6K2}

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	2026-05-18T01:46:13.675454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b4f7f11d3f2092f5cd28f2ab8f1e5699ede2cb7b3f5af1ec05df756157c7d2

Aliases

arxiv: 1501.04542 · arxiv_version: 1501.04542v2 · doi: 10.48550/arxiv.1501.04542 · pith_short_12: K22PP4I5H4QJ · pith_short_16: K22PP4I5H4QJF5ON · pith_short_8: K22PP4I5

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/K22PP4I5H4QJF5ONFDZKXDY6K2 \
  | 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: 56b4f7f11d3f2092f5cd28f2ab8f1e5699ede2cb7b3f5af1ec05df756157c7d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11835c894477bcf4d95cf6be93cef2fef475fbb3560cf8fbeb1d4dbf27151960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-19T16:35:14Z",
    "title_canon_sha256": "dc7f885b5e46a51c189dd55d6702ac82a3d0b4f6f17e4155d8233928f1403036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04542",
    "kind": "arxiv",
    "version": 2
  }
}