Pith Number

pith:AVHK6NTH

pith:2015:AVHK6NTHLXGYAUSE2T5GDDIAFD

not attested not anchored not stored refs pending

Symmetric Decompositions and the Strong Sperner Property for Noncrossing Partition Lattices

Henri M\"uhle

arxiv:1509.06942 v2 · 2015-09-23 · 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{AVHK6NTHLXGYAUSE2T5GDDIAFD}

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	2026-05-18T00:38:36.709528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054eaf36675dcd805244d4fa618d0028f6e1ee2383aff9f926f3e8edb6d38f6b

Aliases

arxiv: 1509.06942 · arxiv_version: 1509.06942v2 · doi: 10.48550/arxiv.1509.06942 · pith_short_12: AVHK6NTHLXGY · pith_short_16: AVHK6NTHLXGYAUSE · pith_short_8: AVHK6NTH

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/AVHK6NTHLXGYAUSE2T5GDDIAFD \
  | 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: 054eaf36675dcd805244d4fa618d0028f6e1ee2383aff9f926f3e8edb6d38f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38b93b96ad48a36c1ef64dd55cca1670f08c0c9e92352dec53e5d5563ec725a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-23T12:34:17Z",
    "title_canon_sha256": "7b0b4ab21cd8dfa1d3b9b4a7f434cc1ceda53ad0e7044dcc5e053759c161ff86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06942",
    "kind": "arxiv",
    "version": 2
  }
}