Pith Number

pith:5Q3LVRQZ

pith:2018:5Q3LVRQZSBZ7IVRFWYVEJRGD36

not attested not anchored not stored refs pending

Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior

Mark C. Wilson, Stephen Melczer

arxiv:1810.06170 v2 · 2018-10-15 · 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{5Q3LVRQZSBZ7IVRFWYVEJRGD36}

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	2026-05-17T23:46:46.046861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec36bac6199073f45625b62a44c4c3dfb351fbb529a95d2cbfed49a5c215c4b0

Aliases

arxiv: 1810.06170 · arxiv_version: 1810.06170v2 · doi: 10.48550/arxiv.1810.06170 · pith_short_12: 5Q3LVRQZSBZ7 · pith_short_16: 5Q3LVRQZSBZ7IVRF · pith_short_8: 5Q3LVRQZ

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/5Q3LVRQZSBZ7IVRFWYVEJRGD36 \
  | 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: ec36bac6199073f45625b62a44c4c3dfb351fbb529a95d2cbfed49a5c215c4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758d91a3df0af0eb1f2db9c197997bcecc13ddb39a4466ee7a159eab46971410",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-15T03:56:36Z",
    "title_canon_sha256": "86534f1f67db6f6f35d0ce893c145a0fa2d5e96a089bc055734f5864b24fbf98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06170",
    "kind": "arxiv",
    "version": 2
  }
}