Pith Number

pith:MWULPXBH

pith:2026:MWULPXBH6MPVYJODTOYSH36ADJ

not attested not anchored not stored refs pending

Lower Bounds for Approximating the Vietoris-Rips Filtration

Kenneth McCabe

arxiv:2607.06524 v1 · 2026-07-07 · math.AT · cs.CG · 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{MWULPXBH6MPVYJODTOYSH36ADJ}

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	2026-07-08T01:19:28.881443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a8b7dc27f31f5c25c39bb123efc01a62dcd7aa99a08249431c79ceb61e4b30

Aliases

arxiv: 2607.06524 · arxiv_version: 2607.06524v1 · doi: 10.48550/arxiv.2607.06524 · pith_short_12: MWULPXBH6MPV · pith_short_16: MWULPXBH6MPVYJOD · pith_short_8: MWULPXBH

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/MWULPXBH6MPVYJODTOYSH36ADJ \
  | 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: 65a8b7dc27f31f5c25c39bb123efc01a62dcd7aa99a08249431c79ceb61e4b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb061bf4d2895c0c1c35f8a854831e4abe8d0c2837340f6a4752b0c24ad8160",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-07T17:30:02Z",
    "title_canon_sha256": "d617700cca055973a19191ddc7a3b7bada30fa91bd93ee51435519c4ba399e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06524",
    "kind": "arxiv",
    "version": 1
  }
}