Pith Number

pith:2NH67ID2

pith:2026:2NH67ID2X4HUI6QRPLPASUYJIG

not attested not anchored not stored refs pending

Cheeger Inequalities for the Persistent Laplacian

Magnus Bakke Botnan, Rui Dong

arxiv:2606.02846 v1 · 2026-06-01 · 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{2NH67ID2X4HUI6QRPLPASUYJIG}

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	2026-06-03T01:05:24.459660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34fefa07abf0f447a117ade095309418e3ceae620edda679e6a0449c8b0f54f

Aliases

arxiv: 2606.02846 · arxiv_version: 2606.02846v1 · doi: 10.48550/arxiv.2606.02846 · pith_short_12: 2NH67ID2X4HU · pith_short_16: 2NH67ID2X4HUI6QR · pith_short_8: 2NH67ID2

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/2NH67ID2X4HUI6QRPLPASUYJIG \
  | 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: d34fefa07abf0f447a117ade095309418e3ceae620edda679e6a0449c8b0f54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4c56d35b20e8b86245cfbba687fd212d4317bb564e1538d7eff7543957dbc3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-01T20:10:48Z",
    "title_canon_sha256": "7c90d71ac8615a2cfd4ca43390c7ee4e3bfe0272da637e8f69ccd5dca8107d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02846",
    "kind": "arxiv",
    "version": 1
  }
}