Pith Number

pith:WJ3UDD6B

pith:2018:WJ3UDD6BUNJZVEBKQKTOOFQC4M

not attested not anchored not stored refs pending

Ascents in Non-Negative Lattice Paths

Benjamin Hackl, Clemens Heuberger, Helmut Prodinger

arxiv:1801.02996 v1 · 2018-01-09 · 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{WJ3UDD6BUNJZVEBKQKTOOFQC4M}

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	2026-05-18T00:06:25.235189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b277418fc1a3539a902a82a6e71602e308987095f7fdd72267f68685e68cc082

Aliases

arxiv: 1801.02996 · arxiv_version: 1801.02996v1 · doi: 10.48550/arxiv.1801.02996 · pith_short_12: WJ3UDD6BUNJZ · pith_short_16: WJ3UDD6BUNJZVEBK · pith_short_8: WJ3UDD6B

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/WJ3UDD6BUNJZVEBKQKTOOFQC4M \
  | 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: b277418fc1a3539a902a82a6e71602e308987095f7fdd72267f68685e68cc082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5886b9cd54b80d6a0f53cd3f915efaf004e32cf1c61db28ff0e1d95a7306650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-09T15:21:04Z",
    "title_canon_sha256": "6feb4e84372f11aae0a410dd43329b9ea5bd54a56fc387405866f62fda9480f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02996",
    "kind": "arxiv",
    "version": 1
  }
}