Pith Number

pith:46YV4QLZ

pith:2015:46YV4QLZXYC6KGP2ZYZS4D63OM

not attested not anchored not stored refs pending

A Formula for the M\"obius function of the Permutation Poset Based on a Topological Decomposition

Jason P. Smith

arxiv:1506.04406 v3 · 2015-06-14 · 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{46YV4QLZXYC6KGP2ZYZS4D63OM}

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	2026-05-18T00:44:10.099446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b15e4179be05e519face332e0fdb730d6d86dae10bb7d73010a5d5964531d9

Aliases

arxiv: 1506.04406 · arxiv_version: 1506.04406v3 · doi: 10.48550/arxiv.1506.04406 · pith_short_12: 46YV4QLZXYC6 · pith_short_16: 46YV4QLZXYC6KGP2 · pith_short_8: 46YV4QLZ

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/46YV4QLZXYC6KGP2ZYZS4D63OM \
  | 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: e7b15e4179be05e519face332e0fdb730d6d86dae10bb7d73010a5d5964531d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993ec100c61beae2fd750b9d231e5390e194b6d3497455686a02eba4953b2020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-14T15:34:02Z",
    "title_canon_sha256": "2f437eca2ab419d337eb3d6df29fddda66793c955f457f4dc0a6c8bfc561d9de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04406",
    "kind": "arxiv",
    "version": 3
  }
}