Pith Number

pith:Y252ZKGN

pith:2017:Y252ZKGNPS4RII332HNOSPF2DV

not attested not anchored not stored refs pending

The Cheeger constant of a Jordan domain without necks

Gian Paolo Leonardi, Giorgio Saracco, Robin Neumayer

arxiv:1704.07253 v3 · 2017-04-24 · 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{Y252ZKGNPS4RII332HNOSPF2DV}

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	2026-05-18T00:22:16.263844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bbaca8cd7cb914237bd1dae93cba1d60049899cb35a5dfe1b3611d1a7c607e

Aliases

arxiv: 1704.07253 · arxiv_version: 1704.07253v3 · doi: 10.48550/arxiv.1704.07253 · pith_short_12: Y252ZKGNPS4R · pith_short_16: Y252ZKGNPS4RII33 · pith_short_8: Y252ZKGN

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/Y252ZKGNPS4RII332HNOSPF2DV \
  | 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: c6bbaca8cd7cb914237bd1dae93cba1d60049899cb35a5dfe1b3611d1a7c607e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6657f8d5d2e09f70d1f4f768131e0d9a85ffa7f9a3ced0c392bcdd152c230222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-24T14:22:00Z",
    "title_canon_sha256": "ea54343f228d79a4b4e30b73e442c029c22f8444c343ae325c8ebef7ebd7c18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07253",
    "kind": "arxiv",
    "version": 3
  }
}