Pith Number

pith:CMQC7CHL

pith:2020:CMQC7CHL423U4EFQJHGPCIMPYU

not attested not anchored not stored refs pending

On clusters and the multi-isoperimetric profile in Riemannian manifolds with bounded geometry

Reinaldo Resende

arxiv:2006.14929 v4 · 2020-06-19 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMQC7CHL423U4EFQJHGPCIMPYU}

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	2026-07-05T08:13:23.335860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13202f88ebe6b74e10b049ccf1218fc538de65b61405883584d4b5d1a97de527

Aliases

arxiv: 2006.14929 · arxiv_version: 2006.14929v4 · doi: 10.48550/arxiv.2006.14929 · pith_short_12: CMQC7CHL423U · pith_short_16: CMQC7CHL423U4EFQ · pith_short_8: CMQC7CHL

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/CMQC7CHL423U4EFQJHGPCIMPYU \
  | 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: 13202f88ebe6b74e10b049ccf1218fc538de65b61405883584d4b5d1a97de527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f81fdcfc856445dcc859d01cb11db4e3522ad6d540e6f6ff987e4378b146c39",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-06-19T19:36:22Z",
    "title_canon_sha256": "783d8b06f75ba6e0cef24204f060c0d3309dd87f3c2452394fb0a17d42d32d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14929",
    "kind": "arxiv",
    "version": 4
  }
}