Pith Number

pith:LBUG5JOB

pith:2006:LBUG5JOBB75VONIJK7CRSXXMJU

not attested not anchored not stored refs pending

Some functional forms of Blaschke-Santal\'o inequality

Mathieu Meyer, Matthieu Fradelizi

arxiv:math/0609553 v1 · 2006-09-20 · math.FA · 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{LBUG5JOBB75VONIJK7CRSXXMJU}

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	2026-07-04T14:56:35.004570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58686ea5c10ffb57350957c5195eec4d3a26e37b9fe3b98e3962c059dc61012c

Aliases

arxiv: math/0609553 · arxiv_version: math/0609553v1 · doi: 10.48550/arxiv.math/0609553 · pith_short_12: LBUG5JOBB75V · pith_short_16: LBUG5JOBB75VONIJ · pith_short_8: LBUG5JOB

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/LBUG5JOBB75VONIJK7CRSXXMJU \
  | 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: 58686ea5c10ffb57350957c5195eec4d3a26e37b9fe3b98e3962c059dc61012c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e1492448714e0c0014cac8e4c49ef43327b393e8fc748ceea9dd331381bf8e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-09-20T12:18:09Z",
    "title_canon_sha256": "7c8fb0c10ef3c209dc17e25638b395185016523fa6b047cc4ace34360d6ed509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609553",
    "kind": "arxiv",
    "version": 1
  }
}