Pith Number

pith:UBDD2GES

pith:2023:UBDD2GESELUYSVEFAROK4CBHBR

not attested not anchored not stored refs pending

Rigorous Analytic Combinatorics in Several Variables in SageMath

Andrew Luo, Benjamin Hackl, Elaine Wong, Jesse Selover, Stephen Melczer

arxiv:2303.09603 v2 · 2023-03-16 · 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{UBDD2GESELUYSVEFAROK4CBHBR}

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	2026-07-05T06:46:46.825559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0463d189222e9895485045cae08270c418b78da6a5e463530cbe2b440b12cee

Aliases

arxiv: 2303.09603 · arxiv_version: 2303.09603v2 · doi: 10.48550/arxiv.2303.09603 · pith_short_12: UBDD2GESELUY · pith_short_16: UBDD2GESELUYSVEF · pith_short_8: UBDD2GES

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/UBDD2GESELUYSVEFAROK4CBHBR \
  | 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: a0463d189222e9895485045cae08270c418b78da6a5e463530cbe2b440b12cee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9655641abaeb5974219a5360b0327ea44903a343e44a0e06b9a1b410ac06784d",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-16T19:08:17Z",
    "title_canon_sha256": "ebd3a932212be6ff30c33e75c353a92eb59e9f721a91004076c877d3114d87ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.09603",
    "kind": "arxiv",
    "version": 2
  }
}