Pith Number

pith:257IHHJ7

pith:2010:257IHHJ7LHMDT6HSDHWA4KO5KQ

not attested not anchored not stored refs pending

Best constants for the isoperimetric inequality in quantitative form

Gian Paolo Leonardi, Marco Cicalese

arxiv:1101.0169 v1 · 2010-12-30 · 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{257IHHJ7LHMDT6HSDHWA4KO5KQ}

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	2026-05-18T04:32:10.920489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77e839d3f59d839f8f219ec0e29dd542b4b8042cf3bbdba3563fb1a4636ce50

Aliases

arxiv: 1101.0169 · arxiv_version: 1101.0169v1 · doi: 10.48550/arxiv.1101.0169 · pith_short_12: 257IHHJ7LHMD · pith_short_16: 257IHHJ7LHMDT6HS · pith_short_8: 257IHHJ7

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/257IHHJ7LHMDT6HSDHWA4KO5KQ \
  | 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: d77e839d3f59d839f8f219ec0e29dd542b4b8042cf3bbdba3563fb1a4636ce50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ed51511ee8cdd5607668f4001b845fa92d85b775336b87c1ee7ac468049b18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-30T22:38:31Z",
    "title_canon_sha256": "08aee37a411a667e203dc0b83a324a06a6d05473ed1132a43d9f7939240fcbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0169",
    "kind": "arxiv",
    "version": 1
  }
}