Pith Number

pith:KWURX47G

pith:2012:KWURX47GUKWENKFN5XYUEFKNP4

not attested not anchored not stored refs pending

An isoperimetric inequality for extremal Sobolev functions

Jesse Ratzkin, Tom Carroll

arxiv:1208.1352 v1 · 2012-08-07 · 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{KWURX47GUKWENKFN5XYUEFKNP4}

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	2026-05-18T01:21:38.417764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a91bf3e6a2ac46a8adedf142154d7f2accfe1e34579f0bfdb7f9ef6e396d83

Aliases

arxiv: 1208.1352 · arxiv_version: 1208.1352v1 · doi: 10.48550/arxiv.1208.1352 · pith_short_12: KWURX47GUKWE · pith_short_16: KWURX47GUKWENKFN · pith_short_8: KWURX47G

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/KWURX47GUKWENKFN5XYUEFKNP4 \
  | 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: 55a91bf3e6a2ac46a8adedf142154d7f2accfe1e34579f0bfdb7f9ef6e396d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0367c806fdc1cc1aa4494fc8fa3b4b7c7e74c4c9b5bb1fc4ba524c8651acb85a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-07T07:39:04Z",
    "title_canon_sha256": "75d16e15cfa1e50641cdf660db4dae26a7a2db6ca7be4566d80cd03cd65e298a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1352",
    "kind": "arxiv",
    "version": 1
  }
}