Pith Number

pith:V26DDWGQ

pith:2017:V26DDWGQ7BAFYQZ5C5JP2QUMFM

not attested not anchored not stored refs pending

Analytic Combinatorics in Several Variables: Effective Asymptotics and Lattice Path Enumeration

Stephen Melczer

arxiv:1709.05051 v1 · 2017-09-15 · math.CO · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V26DDWGQ7BAFYQZ5C5JP2QUMFM}

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	2026-05-18T00:35:06.842920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebc31d8d0f8405c433d1752fd428c2b08973af2ddefb8d9e2dd948e9e0eda31

Aliases

arxiv: 1709.05051 · arxiv_version: 1709.05051v1 · doi: 10.48550/arxiv.1709.05051 · pith_short_12: V26DDWGQ7BAF · pith_short_16: V26DDWGQ7BAFYQZ5 · pith_short_8: V26DDWGQ

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/V26DDWGQ7BAFYQZ5C5JP2QUMFM \
  | 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: aebc31d8d0f8405c433d1752fd428c2b08973af2ddefb8d9e2dd948e9e0eda31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a19577953f5cf9c3fbc717440b801c83087ddd85c018f92894faf29b5b68eb3",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-15T04:09:09Z",
    "title_canon_sha256": "3873e2f43dbc712786a58250bfafbe632f9ec519dae67f478d70ed63e4c15a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05051",
    "kind": "arxiv",
    "version": 1
  }
}