Pith Number

pith:KYZBNX6K

pith:2026:KYZBNX6K7QMO2UF6JQ73M6GR5S

not attested not anchored not stored refs pending

The many-body Blaschke-Santal\'o type inequality via optimal transport

Dongmeng Xi, Shibing Chen, Yuanyuan Li, Zhe-Feng Xu

arxiv:2606.30579 v1 · 2026-06-29 · 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{KYZBNX6K7QMO2UF6JQ73M6GR5S}

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	2026-06-30T02:18:21.284304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563216dfcafc18ed50be4c3fb678d1ecb7ee0d65bb36b252a9132aeba0627aaf

Aliases

arxiv: 2606.30579 · arxiv_version: 2606.30579v1 · doi: 10.48550/arxiv.2606.30579 · pith_short_12: KYZBNX6K7QMO · pith_short_16: KYZBNX6K7QMO2UF6 · pith_short_8: KYZBNX6K

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/KYZBNX6K7QMO2UF6JQ73M6GR5S \
  | 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: 563216dfcafc18ed50be4c3fb678d1ecb7ee0d65bb36b252a9132aeba0627aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75481c439c8e8521d8d89234ef1ebc323ec13ac23c477e2191c4f5fc52a425f4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-29T17:21:26Z",
    "title_canon_sha256": "1b297262df730563250139641057274d3c9031b436ea2388bdc920328cefc6fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30579",
    "kind": "arxiv",
    "version": 1
  }
}