Pith Number

pith:GS4WVWRA

pith:2019:GS4WVWRAQAVYTPWKDUJNIQQTSB

not attested not anchored not stored refs pending

The Riemannian Quantitative Isoperimetric Inequality

Luca Spolaor, Max Engelstein, Otis Chodosh

arxiv:1908.00677 v1 · 2019-08-02 · math.DG · 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{GS4WVWRAQAVYTPWKDUJNIQQTSB}

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	2026-07-04T23:51:08.247788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b96ada20802b89beca1d12d442139056242365f6afe669b572a7e2003d6813

Aliases

arxiv: 1908.00677 · arxiv_version: 1908.00677v1 · doi: 10.48550/arxiv.1908.00677 · pith_short_12: GS4WVWRAQAVY · pith_short_16: GS4WVWRAQAVYTPWK · pith_short_8: GS4WVWRA

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/GS4WVWRAQAVYTPWKDUJNIQQTSB \
  | 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: 34b96ada20802b89beca1d12d442139056242365f6afe669b572a7e2003d6813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49102e12422ddaa4b9649804294a4dc0ca4f4386ecfda465dafaaad38233f7d9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-02T01:55:10Z",
    "title_canon_sha256": "ae3f9a7db29929e1243a949fbc62910d93afd4de8d7205638320c920093178a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00677",
    "kind": "arxiv",
    "version": 1
  }
}