Pith Number

pith:QOEYSZQA

pith:2014:QOEYSZQAY76GHIVHSFPVXYQRS6

not attested not anchored not stored refs pending

A sharp quantitative version of Hales' isoperimetric honeycomb theorem

Francesco Maggi, Marco Caroccia

arxiv:1410.6128 v1 · 2014-10-22 · math.AP · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOEYSZQAY76GHIVHSFPVXYQRS6}

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	2026-05-18T02:39:32.547422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8389896600c7fc63a2a7915f5be21197bd0aafadcca975735e77313f6a6e62cb

Aliases

arxiv: 1410.6128 · arxiv_version: 1410.6128v1 · doi: 10.48550/arxiv.1410.6128 · pith_short_12: QOEYSZQAY76G · pith_short_16: QOEYSZQAY76GHIVH · pith_short_8: QOEYSZQA

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/QOEYSZQAY76GHIVHSFPVXYQRS6 \
  | 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: 8389896600c7fc63a2a7915f5be21197bd0aafadcca975735e77313f6a6e62cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293e3caf65a9bcc7dd83adaec26019acb60aabcd5b4a30812dfda8b36e66bfc9",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-22T18:25:05Z",
    "title_canon_sha256": "6659e8b670e48b611e63bc6c2d2badd860f5e92ef70152daca5a30c49325dbff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6128",
    "kind": "arxiv",
    "version": 1
  }
}