Pith Number

pith:GZ53VPQH

pith:2026:GZ53VPQHZUMU7IDMAU4VKU2G7V

not attested not anchored not stored refs pending

The quantitative isoperimetric inequality: A calibration argument

Sebastian Hensel, Tim Laux

arxiv:2606.17172 v1 · 2026-06-15 · 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{GZ53VPQHZUMU7IDMAU4VKU2G7V}

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	2026-06-19T16:10:04.951700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367bbabe07cd194fa06c0539555346fd60e161ce349d19635a6933c9cc92e70f

Aliases

arxiv: 2606.17172 · arxiv_version: 2606.17172v1 · doi: 10.48550/arxiv.2606.17172 · pith_short_12: GZ53VPQHZUMU · pith_short_16: GZ53VPQHZUMU7IDM · pith_short_8: GZ53VPQH

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/GZ53VPQHZUMU7IDMAU4VKU2G7V \
  | 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: 367bbabe07cd194fa06c0539555346fd60e161ce349d19635a6933c9cc92e70f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73bc89159c85201f34c13d25d50bfef9aee145783e6ff01875b51bc49b8a3be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-15T18:09:21Z",
    "title_canon_sha256": "39bae1b36541cc28dbd02e838d80b75293e5c0d15bb1fab3993a82d70db451eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17172",
    "kind": "arxiv",
    "version": 1
  }
}