Pith Number

pith:ML326DKK

pith:2015:ML326DKKHVKPOVHR4NXZ7OJWKG

not attested not anchored not stored refs pending

Asymptotics of lattice walks via analytic combinatorics in several variables

Mark C. Wilson, Stephen Melczer

arxiv:1511.02527 v3 · 2015-11-08 · 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{ML326DKKHVKPOVHR4NXZ7OJWKG}

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	2026-05-18T01:19:53.467953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f7af0d4a3d54f754f1e36f9fb936518eb33958bfa9ba0472062a8b87061d45

Aliases

arxiv: 1511.02527 · arxiv_version: 1511.02527v3 · doi: 10.48550/arxiv.1511.02527 · pith_short_12: ML326DKKHVKP · pith_short_16: ML326DKKHVKPOVHR · pith_short_8: ML326DKK

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/ML326DKKHVKPOVHR4NXZ7OJWKG \
  | 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: 62f7af0d4a3d54f754f1e36f9fb936518eb33958bfa9ba0472062a8b87061d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24245c9ec9351bdc400e5dccb43b5a8c305210a96eeaa15fa69d7e094d1083d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-08T21:00:05Z",
    "title_canon_sha256": "5ec1d39a7b4de8bd7de35701c1a16acd58fa7b0342aecea261b088e149776d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02527",
    "kind": "arxiv",
    "version": 3
  }
}