Pith Number

pith:5U4AGPFK

pith:2016:5U4AGPFKJB4QRCMLM565SM3FAJ

not attested not anchored not stored refs pending

Lattice paths of slope 2/5

Cyril Banderier (LIPN), Michael Wallner (TU Wien)

arxiv:1605.02967 v1 · 2016-05-10 · 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{5U4AGPFKJB4QRCMLM565SM3FAJ}

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	2026-05-18T01:11:47.959501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed38033caa487908898b677dd93365024207640c9e8771750cb24a2543c6c95a

Aliases

arxiv: 1605.02967 · arxiv_version: 1605.02967v1 · doi: 10.48550/arxiv.1605.02967 · pith_short_12: 5U4AGPFKJB4Q · pith_short_16: 5U4AGPFKJB4QRCML · pith_short_8: 5U4AGPFK

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/5U4AGPFKJB4QRCMLM565SM3FAJ \
  | 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: ed38033caa487908898b677dd93365024207640c9e8771750cb24a2543c6c95a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea661dc94cdb69587079873192b88ee6ee9347b87a66f55b8ef5198f931e4fe1",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-05-10T12:12:44Z",
    "title_canon_sha256": "c0d71fa7c1dc52e0caa576ce748473cabf952f755a210bc2b602e735d01537f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02967",
    "kind": "arxiv",
    "version": 1
  }
}