Pith Number

pith:PL3PCPJG

pith:2016:PL3PCPJGYEBR3YUY4SSVT4HIQE

not attested not anchored not stored refs pending

Multiparameter Fuss--Catalan numbers with application to algebraic equations

S. R. Mane

arxiv:1607.04144 v6 · 2016-07-14 · 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{PL3PCPJGYEBR3YUY4SSVT4HIQE}

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	2026-06-04T01:08:23.619752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af6f13d26c1031de298e4a559f0e8811d412c92876b298944c504c631a75781

Aliases

arxiv: 1607.04144 · arxiv_version: 1607.04144v6 · doi: 10.48550/arxiv.1607.04144 · pith_short_12: PL3PCPJGYEBR · pith_short_16: PL3PCPJGYEBR3YUY · pith_short_8: PL3PCPJG

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/PL3PCPJGYEBR3YUY4SSVT4HIQE \
  | 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: 7af6f13d26c1031de298e4a559f0e8811d412c92876b298944c504c631a75781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0894327392fa4308de4ef16bbc747aa94129a28f56d4aec964e95640c96b3443",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-14T14:14:41Z",
    "title_canon_sha256": "278373e67acca6e25beabf6651f569f2f70a246a05c1a0fda37112260de43242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04144",
    "kind": "arxiv",
    "version": 6
  }
}