Pith Number

pith:V3WXZNVT

pith:2011:V3WXZNVT5DARKN4RVK4RE5ONGD

not attested not anchored not stored refs pending

The M\"obius function of the consecutive pattern poset

Antonio Bernini, Einar Steingrimsson, Luca Ferrari

arxiv:1103.0173 v1 · 2011-03-01 · 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{V3WXZNVT5DARKN4RVK4RE5ONGD}

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	2026-05-18T04:27:37.199452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeed7cb6b3e8c1153791aab91275cd30c23684810568f33f2cc3e7d49f6e3876

Aliases

arxiv: 1103.0173 · arxiv_version: 1103.0173v1 · doi: 10.48550/arxiv.1103.0173 · pith_short_12: V3WXZNVT5DAR · pith_short_16: V3WXZNVT5DARKN4R · pith_short_8: V3WXZNVT

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/V3WXZNVT5DARKN4RVK4RE5ONGD \
  | 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: aeed7cb6b3e8c1153791aab91275cd30c23684810568f33f2cc3e7d49f6e3876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5059346d4417d8c37bf62043f395de45f87b3bdd9b3e60d63e89c09fca27225b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-01T14:08:58Z",
    "title_canon_sha256": "17ad453d0b240ed81600dcff38261c446ef974324edb7a22a7c0bcbf344dfc6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0173",
    "kind": "arxiv",
    "version": 1
  }
}