Pith Number

pith:IBWKJ7N2

pith:2009:IBWKJ7N27GDRKNATDLVFPY5JXY

not attested not anchored not stored refs pending

Sharp quantitative isoperimetric inequalities in the $L^1$ Minkowski plane

Benoit Kloeckner (IF)

arxiv:0907.4945 v1 · 2009-07-28 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBWKJ7N27GDRKNATDLVFPY5JXY}

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	2026-05-18T03:34:16.587238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406ca4fdbaf9871534131aea57e3a9be25b8ebcc8553985b70dbe4606af09830

Aliases

arxiv: 0907.4945 · arxiv_version: 0907.4945v1 · doi: 10.48550/arxiv.0907.4945 · pith_short_12: IBWKJ7N27GDR · pith_short_16: IBWKJ7N27GDRKNAT · pith_short_8: IBWKJ7N2

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/IBWKJ7N27GDRKNATDLVFPY5JXY \
  | 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: 406ca4fdbaf9871534131aea57e3a9be25b8ebcc8553985b70dbe4606af09830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cde2fc823e9b0983cf8df0172619fb0b8fdd74592729bc0165407ad6dc51d37",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-07-28T16:20:36Z",
    "title_canon_sha256": "d9d88a6f04043561996abc410b5502364ab3712ff3e762a3c05ddde74525d655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4945",
    "kind": "arxiv",
    "version": 1
  }
}