Pith Number

pith:IJJLBLJ4

pith:2026:IJJLBLJ47OSH2U5KGTG23OEUQU

not attested not anchored not stored refs pending

$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals

Shengyu Tang, Sinan Wang, Xiaojuan Chen

arxiv:2607.00567 v1 · 2026-07-01 · 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{IJJLBLJ47OSH2U5KGTG23OEUQU}

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	2026-07-02T01:17:47.825675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4252b0ad3cfba47d53aa34cdadb89485170cf0c313724010a9b145cd98a104d4

Aliases

arxiv: 2607.00567 · arxiv_version: 2607.00567v1 · doi: 10.48550/arxiv.2607.00567 · pith_short_12: IJJLBLJ47OSH · pith_short_16: IJJLBLJ47OSH2U5K · pith_short_8: IJJLBLJ4

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/IJJLBLJ47OSH2U5KGTG23OEUQU \
  | 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: 4252b0ad3cfba47d53aa34cdadb89485170cf0c313724010a9b145cd98a104d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66e01c10594821aa167ee296060bd0bdc5ff14a2c71b54f146ab810f4d15d77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-01T07:53:53Z",
    "title_canon_sha256": "a755cd8a1732e399d565b4445001c91a6b4a76ec854f84fb9375645b4a032241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00567",
    "kind": "arxiv",
    "version": 1
  }
}