Pith Number

pith:4GCJJLXK

pith:2019:4GCJJLXKIB3EZBM7YMLP5BCHWE

not attested not anchored not stored refs pending

Lattice paths inside a table: Rows and columns linear combinations

Mohammad Farrokhi Derakhshandeh Ghouchan

arxiv:1910.09844 v1 · 2019-10-22 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GCJJLXKIB3EZBM7YMLP5BCHWE}

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	2026-07-05T00:14:02.998650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18494aeea40764c859fc316fe8447b103fc4a7e07df420ec49cd9908f491da2

Aliases

arxiv: 1910.09844 · arxiv_version: 1910.09844v1 · doi: 10.48550/arxiv.1910.09844 · pith_short_12: 4GCJJLXKIB3E · pith_short_16: 4GCJJLXKIB3EZBM7 · pith_short_8: 4GCJJLXK

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/4GCJJLXKIB3EZBM7YMLP5BCHWE \
  | 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: e18494aeea40764c859fc316fe8447b103fc4a7e07df420ec49cd9908f491da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287fa10cea6c6bd97feeb2ce75a56dd62dacb952924dcb4fed83280ddb53448e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-22T09:02:05Z",
    "title_canon_sha256": "6d450c1b325b4f87e86c234bfc7fec596695861aae56c410a453867f99ee1058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09844",
    "kind": "arxiv",
    "version": 1
  }
}