Pith Number

pith:GVJ6ABWG

pith:2026:GVJ6ABWGQHISL6D5BBINQTGI6C

not attested not anchored not stored refs pending

Homology of Vietoris-Rips complexes of hypercube graphs via group actions

Federico Galetto, Jonathan Monta\~no, Zoe Wellner

arxiv:2606.20784 v1 · 2026-06-18 · math.CO · math.AC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVJ6ABWGQHISL6D5BBINQTGI6C}

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	2026-06-23T00:11:56.742426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3553e006c681d125f87d0850d84cc8f08bceeca7547f2691b72a94031ab41dae

Aliases

arxiv: 2606.20784 · arxiv_version: 2606.20784v1 · doi: 10.48550/arxiv.2606.20784 · pith_short_12: GVJ6ABWGQHIS · pith_short_16: GVJ6ABWGQHISL6D5 · pith_short_8: GVJ6ABWG

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/GVJ6ABWGQHISL6D5BBINQTGI6C \
  | 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: 3553e006c681d125f87d0850d84cc8f08bceeca7547f2691b72a94031ab41dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd7b13fcef18bdd62e9ac7830f5434f9a170b5184fd87db895422007738e4533",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-18T17:34:44Z",
    "title_canon_sha256": "7bbbd36c9115c568de951495edc844871ce32c6c835992985bf91d3ed2e5c061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20784",
    "kind": "arxiv",
    "version": 1
  }
}