Pith Number

pith:FDY2K4ZB

pith:2024:FDY2K4ZBMZZ64PJ2PH7B2KWRJ2

not attested not anchored not stored refs pending

Sparse Approximation of the Subdivision-Rips Bifiltration for Doubling Metrics

Kenneth McCabe, Michael Lesnick

arxiv:2408.16716 v1 · 2024-08-29 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDY2K4ZBMZZ64PJ2PH7B2KWRJ2}

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

2 papers in Pith

Lower Bounds for Approximating the Vietoris-Rips Filtration

An Algebraic Introduction to Persistence

Receipt and verification

First computed	2026-07-05T09:00:45.449056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f1a573216673ee3d3a79fe1d2ad14e97bd3f2ae69290d593bd9db697605167

Aliases

arxiv: 2408.16716 · arxiv_version: 2408.16716v1 · doi: 10.48550/arxiv.2408.16716 · pith_short_12: FDY2K4ZBMZZ6 · pith_short_16: FDY2K4ZBMZZ64PJ2 · pith_short_8: FDY2K4ZB

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/FDY2K4ZBMZZ64PJ2PH7B2KWRJ2 \
  | 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: 28f1a573216673ee3d3a79fe1d2ad14e97bd3f2ae69290d593bd9db697605167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58cc8cce9319c8adb5bad05a19622a6bfd74c495a15e38f3e1fc2f65fb303fcc",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-08-29T17:07:40Z",
    "title_canon_sha256": "c3b7607bd2d109be0b6f2627575fb8b6014ebe4f128c318a1dc66296a5f8e2c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16716",
    "kind": "arxiv",
    "version": 1
  }
}