Pith Number

pith:KFNJ5BAL

pith:2012:KFNJ5BALJYBNKGLXT6XRX7JJS5

not attested not anchored not stored refs pending

Bounds for the Betti numbers of successive stellar subdivisions of a simplex

Janko Boehm, Stavros Argyrios Papadakis

arxiv:1212.4358 v1 · 2012-12-18 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFNJ5BALJYBNKGLXT6XRX7JJS5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:22:58.147526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

515a9e840b4e02d519779faf1bfd29976534583ec47ecff24500c138bd436f69

Aliases

arxiv: 1212.4358 · arxiv_version: 1212.4358v1 · doi: 10.48550/arxiv.1212.4358 · pith_short_12: KFNJ5BALJYBN · pith_short_16: KFNJ5BALJYBNKGLX · pith_short_8: KFNJ5BAL

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/KFNJ5BALJYBNKGLXT6XRX7JJS5 \
  | 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: 515a9e840b4e02d519779faf1bfd29976534583ec47ecff24500c138bd436f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f767c48a0b711db650a10dee6279196d7407d61d79b76ec654f00031e5c8b17e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-18T14:24:19Z",
    "title_canon_sha256": "00854cc42deb09c2b244ff307e0475defed049b6d6c37f5fc6e284cd8851cba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4358",
    "kind": "arxiv",
    "version": 1
  }
}