Pith Number

pith:DHOUI3SI

pith:2025:DHOUI3SIVDGNHRDT24MKMP2ROE

not attested not anchored not stored refs pending

Ordered set partition posets

Bruce E Sagan (Michigan State University), Sheila Sundaram (University of Minnesota)

arxiv:2506.23355 v3 · 2025-06-29 · math.CO · math.GN · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHOUI3SIVDGNHRDT24MKMP2ROE}

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.

Cited by

1 paper in Pith

An identity relating Catalan numbers to tangent numbers with arithmetic applications

Receipt and verification

First computed	2026-06-08T01:03:45.993692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19dd446e48a8ccd3c473d718a63f5171136e3218b4b961f13e8269502eefb87b

Aliases

arxiv: 2506.23355 · arxiv_version: 2506.23355v3 · doi: 10.48550/arxiv.2506.23355 · pith_short_12: DHOUI3SIVDGN · pith_short_16: DHOUI3SIVDGNHRDT · pith_short_8: DHOUI3SI

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/DHOUI3SIVDGNHRDT24MKMP2ROE \
  | 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: 19dd446e48a8ccd3c473d718a63f5171136e3218b4b961f13e8269502eefb87b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12fec4b3667ba987daa6259bfdd34e22a6cf75ea541f941816f248d412d9b60b",
    "cross_cats_sorted": [
      "math.GN",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-29T18:20:31Z",
    "title_canon_sha256": "c02c5f933b3e2b5c1956b9955caab8a11e6f83abd858f07890a9d344701bcc64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23355",
    "kind": "arxiv",
    "version": 3
  }
}