Pith Number

pith:R24FSJ5I

pith:2025:R24FSJ5I75YTY3D2WSERJRXDUE

not attested not anchored not stored refs pending

A SageMath Package for Analytic Combinatorics in Several Variables: Beyond the Smooth Case

Andrew Luo, Benjamin Hackl, \'Eric Schost, Stephen Melczer

arxiv:2504.09790 v1 · 2025-04-14 · math.CO · cs.SC · 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{R24FSJ5I75YTY3D2WSERJRXDUE}

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	2026-07-05T10:48:42.720227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb85927a8ff713c6c7ab48914c6e3a1345a5a896017895f50edaf0c72290dd2

Aliases

arxiv: 2504.09790 · arxiv_version: 2504.09790v1 · doi: 10.48550/arxiv.2504.09790 · pith_short_12: R24FSJ5I75YT · pith_short_16: R24FSJ5I75YTY3D2 · pith_short_8: R24FSJ5I

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/R24FSJ5I75YTY3D2WSERJRXDUE \
  | 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: 8eb85927a8ff713c6c7ab48914c6e3a1345a5a896017895f50edaf0c72290dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39bc95958d414e071048500fbed44151935cdbd3654767262b9bc283f75a2fcf",
    "cross_cats_sorted": [
      "cs.SC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-14T01:30:44Z",
    "title_canon_sha256": "e778b5ecda1f0148f9a58c8bdc2389301188a43ca440ab7124aee61f56a9b065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09790",
    "kind": "arxiv",
    "version": 1
  }
}