Pith Number

pith:ZQXERP23

pith:2009:ZQXERP233X56NTEOOLGQW2SUDJ

not attested not anchored not stored refs pending

Stability of the Pr\'ekopa-Leindler inequality

K\'aroly J. B\"or\"oczky, Keith M. Ball

arxiv:0909.3738 v1 · 2009-09-21 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQXERP233X56NTEOOLGQW2SUDJ}

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	2026-05-18T03:02:44.548494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2e48bf5bddfbe6cc8e72cd0b6a541a46721e5570dc4cd2c24aff3f3536727a

Aliases

arxiv: 0909.3738 · arxiv_version: 0909.3738v1 · doi: 10.48550/arxiv.0909.3738 · pith_short_12: ZQXERP233X56 · pith_short_16: ZQXERP233X56NTEO · pith_short_8: ZQXERP23

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/ZQXERP233X56NTEOOLGQW2SUDJ \
  | 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: cc2e48bf5bddfbe6cc8e72cd0b6a541a46721e5570dc4cd2c24aff3f3536727a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a84d04d84e711af98a5d2c619dbc9d6893d55a55f65be809b57dcf36b2f2270",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-21T11:47:08Z",
    "title_canon_sha256": "a1909243138258e214f9ec1046c53a89af192f3f9ac03ec5496ad203952c3b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3738",
    "kind": "arxiv",
    "version": 1
  }
}