Pith Number

pith:GGNUKOLP

pith:2023:GGNUKOLPCZBQKF7OBA2QHBWXAY

not attested not anchored not stored refs pending

The algebraic stability for persistent Laplacians

Jian Liu, Jie Wu, Jingyan Li

arxiv:2302.03902 v2 · 2023-02-08 · 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{GGNUKOLPCZBQKF7OBA2QHBWXAY}

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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

Cheeger Inequalities for the Persistent Laplacian

Receipt and verification

First computed	2026-07-05T09:52:56.138435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319b45396f16430517ee08350386d70601af1b81c6ae6b540b30953f012595dc

Aliases

arxiv: 2302.03902 · arxiv_version: 2302.03902v2 · doi: 10.48550/arxiv.2302.03902 · pith_short_12: GGNUKOLPCZBQ · pith_short_16: GGNUKOLPCZBQKF7O · pith_short_8: GGNUKOLP

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/GGNUKOLPCZBQKF7OBA2QHBWXAY \
  | 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: 319b45396f16430517ee08350386d70601af1b81c6ae6b540b30953f012595dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1124e5a68f7c8da37a943baffcfd563f68030d4bedaae727a5025d3917184589",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-02-08T06:31:26Z",
    "title_canon_sha256": "0bd63d6fb1dddc974324d91684d574975dc2de49021377c1d5011c6dcd4e2eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.03902",
    "kind": "arxiv",
    "version": 2
  }
}