Pith Number

pith:BJZ2TIVZ

pith:2025:BJZ2TIVZVUGV3CG6ZII2JTKJ7I

not attested not anchored not stored refs pending

Extremal Betti Numbers and Persistence in Flag Complexes

Lies Beers, Magnus Bakke Botnan

arxiv:2502.21294 v1 · 2025-02-28 · math.CO · math.AT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJZ2TIVZVUGV3CG6ZII2JTKJ7I}

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.

Cited by

1 paper in Pith

Lower Bounds for Approximating the Vietoris-Rips Filtration

Receipt and verification

First computed	2026-07-05T10:21:52.540008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a73a9a2b9ad0d5d88deca11a4cd49fa3da2967393c292e8a4a5b428aa020ae2

Aliases

arxiv: 2502.21294 · arxiv_version: 2502.21294v1 · doi: 10.48550/arxiv.2502.21294 · pith_short_12: BJZ2TIVZVUGV · pith_short_16: BJZ2TIVZVUGV3CG6 · pith_short_8: BJZ2TIVZ

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/BJZ2TIVZVUGV3CG6ZII2JTKJ7I \
  | 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: 0a73a9a2b9ad0d5d88deca11a4cd49fa3da2967393c292e8a4a5b428aa020ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6acd5b05019e3b13cb4f176b7838825d00d18fee45b073df54143cb46abd57",
    "cross_cats_sorted": [
      "math.AT",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-28T18:24:59Z",
    "title_canon_sha256": "cb5f5c5b500aa95f66a391243e6a67d4b6fd173839fec7cdf879ff17a7dc0002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.21294",
    "kind": "arxiv",
    "version": 1
  }
}