Pith Number

pith:O7SYFVK7

pith:2015:O7SYFVK7JZRHMSYUEDLRB6IKNZ

not attested not anchored not stored refs pending

Analysis of Bidirectional Ballot Sequences and Random Walks Ending in their Maximum

Benjamin Hackl, Clemens Heuberger, Helmut Prodinger, Stephan Wagner

arxiv:1503.08790 v3 · 2015-03-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7SYFVK7JZRHMSYUEDLRB6IKNZ}

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	2026-05-18T00:58:55.605903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e582d55f4e62764b1420d710f90a6e4597e93850456db76f05ed4d6cd57db1

Aliases

arxiv: 1503.08790 · arxiv_version: 1503.08790v3 · doi: 10.48550/arxiv.1503.08790 · pith_short_12: O7SYFVK7JZRH · pith_short_16: O7SYFVK7JZRHMSYU · pith_short_8: O7SYFVK7

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/O7SYFVK7JZRHMSYUEDLRB6IKNZ \
  | 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: 77e582d55f4e62764b1420d710f90a6e4597e93850456db76f05ed4d6cd57db1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3185ed59088b0c7e0b68994ce1475a47f8f3b1ad866da2098dea599ff3de2283",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-30T18:54:08Z",
    "title_canon_sha256": "80f039013f7433ad798eb0debe774cce0884d49b4c23b4e9ae8a49277008aed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08790",
    "kind": "arxiv",
    "version": 3
  }
}