Pith Number

pith:FHEXRUQI

pith:2017:FHEXRUQIDYSCUJ2WANG3CVUYYA

not attested not anchored not stored refs pending

Two examples of minimal Cheeger sets in the plane

Gian Paolo Leonardi, Giorgio Saracco

arxiv:1709.00851 v4 · 2017-09-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHEXRUQIDYSCUJ2WANG3CVUYYA}

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	2026-05-18T00:06:56.419846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c978d2081e242a2756034db15698c009a3a5b9be2accc5a29c440cd33c2fb8

Aliases

arxiv: 1709.00851 · arxiv_version: 1709.00851v4 · doi: 10.48550/arxiv.1709.00851 · pith_short_12: FHEXRUQIDYSC · pith_short_16: FHEXRUQIDYSCUJ2W · pith_short_8: FHEXRUQI

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/FHEXRUQIDYSCUJ2WANG3CVUYYA \
  | 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: 29c978d2081e242a2756034db15698c009a3a5b9be2accc5a29c440cd33c2fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e674dbc319921421305592a20b82fb4aae99262b2a7393e178b973fa37375327",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-04T08:04:02Z",
    "title_canon_sha256": "3989302ef98390eaf4e81485dd477c1ac5e3cf6dc7c2344dc117e99e00f57dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00851",
    "kind": "arxiv",
    "version": 4
  }
}