Pith Number

pith:G6QWHXBD

pith:2018:G6QWHXBDDLNSH3YFIZMWJMJD5W

not attested not anchored not stored refs pending

Graded Betti numbers of balanced simplicial complexes

Lorenzo Venturello, Martina Juhnke-Kubitzke

arxiv:1811.03892 v1 · 2018-11-09 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6QWHXBDDLNSH3YFIZMWJMJD5W}

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	2026-05-18T00:01:11.678636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37a163dc231adb23ef05465964b123edbbd7d1fe14fab38607500bacb4ec14f1

Aliases

arxiv: 1811.03892 · arxiv_version: 1811.03892v1 · doi: 10.48550/arxiv.1811.03892 · pith_short_12: G6QWHXBDDLNS · pith_short_16: G6QWHXBDDLNSH3YF · pith_short_8: G6QWHXBD

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/G6QWHXBDDLNSH3YFIZMWJMJD5W \
  | 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: 37a163dc231adb23ef05465964b123edbbd7d1fe14fab38607500bacb4ec14f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac02313fcdc7f68cc2c90df83b159bdef10c15f2fe552efa90ce4c9978686db",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-09T13:32:47Z",
    "title_canon_sha256": "7d410fdc8398ef5fbcab01a6d32a55df1f2dd68e401a587a9660513163eff24e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03892",
    "kind": "arxiv",
    "version": 1
  }
}