Pith Number

pith:SPHZA77Q

pith:2026:SPHZA77QVXUAPHRLFIF2PQUH37

not attested not anchored not stored refs pending

L_p-Rogers--Shephard type inequalities for L_p-zonoids and symmetric bodies

Auttawich Manui, Cheikh Saliou Ndiaye, Mark Meyer, Matthieu Fradelizi

arxiv:2607.03582 v1 · 2026-07-03 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPHZA77QVXUAPHRLFIF2PQUH37}

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	2026-07-07T02:17:55.822097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93cf907ff0ade8079e2b2a0ba7c287dff33e86b251c4185ab1b42e6c38705552

Aliases

arxiv: 2607.03582 · arxiv_version: 2607.03582v1 · doi: 10.48550/arxiv.2607.03582 · pith_short_12: SPHZA77QVXUA · pith_short_16: SPHZA77QVXUAPHRL · pith_short_8: SPHZA77Q

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/SPHZA77QVXUAPHRLFIF2PQUH37 \
  | 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: 93cf907ff0ade8079e2b2a0ba7c287dff33e86b251c4185ab1b42e6c38705552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6247ba713121bb0d07bf7f38e1c782a9ded28c942f80cbf528fa878ecafd26a7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-03T19:57:09Z",
    "title_canon_sha256": "9344416308de2ca20dba3d09bb9e63022b3cf12b2fbd54fe4acb0bed7575d8f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03582",
    "kind": "arxiv",
    "version": 1
  }
}