Pith Number

pith:IS52A5ML

pith:2016:IS52A5MLAEXHTFLZFW5WWS2YTG

not attested not anchored not stored refs pending

The kernel method for lattice paths below a line of rational slope

Cyril Banderier, Michael Wallner

arxiv:1606.08412 v2 · 2016-06-27 · cs.DM · math.CO · 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{IS52A5MLAEXHTFLZFW5WWS2YTG}

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	2026-05-18T01:03:07.284928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44bba0758b012e7995792dbb6b4b589982797a394575f27b08e0b6973dedcee1

Aliases

arxiv: 1606.08412 · arxiv_version: 1606.08412v2 · doi: 10.48550/arxiv.1606.08412 · pith_short_12: IS52A5MLAEXH · pith_short_16: IS52A5MLAEXHTFLZ · pith_short_8: IS52A5ML

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/IS52A5MLAEXHTFLZFW5WWS2YTG \
  | 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: 44bba0758b012e7995792dbb6b4b589982797a394575f27b08e0b6973dedcee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4509da65fdd2c900a7cea2ca46cd6de0abfb8f2bf0c94c83808afff39ea39174",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-06-27T19:17:29Z",
    "title_canon_sha256": "ced4eec49dee51f1c711dd62ce57d3826d3b6ed973548d66ecd6a6ce384e2486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08412",
    "kind": "arxiv",
    "version": 2
  }
}