Pith Number

pith:VTOST4CW

pith:2026:VTOST4CWFI3JRXRBEQEWFKP4SE

not attested not anchored not stored refs pending

Optimal $MM^*$ bounds for convex bodies

Pierre Bizeul

arxiv:2607.29458 v1 · 2026-07-31 · math.MG · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTOST4CWFI3JRXRBEQEWFKP4SE}

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	2026-08-03T01:34:59.872542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acdd29f0562a3698de21240962a9fc9120aaba599006bd7fd4528e70c6d633bf

Aliases

arxiv: 2607.29458 · arxiv_version: 2607.29458v1 · doi: 10.48550/arxiv.2607.29458 · pith_short_12: VTOST4CWFI3J · pith_short_16: VTOST4CWFI3JRXRB · pith_short_8: VTOST4CW

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/VTOST4CWFI3JRXRBEQEWFKP4SE \
  | 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: acdd29f0562a3698de21240962a9fc9120aaba599006bd7fd4528e70c6d633bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1215ba049ec4cb9cd635fb2066d7a6a3508e18d96dec1595d1dd4a1b2c623113",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-31T14:23:48Z",
    "title_canon_sha256": "7695d68a7cf2b041406b26f0d33f67a5891ebe18f5959c59a57350c7127512e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29458",
    "kind": "arxiv",
    "version": 1
  }
}