Pith Number

pith:ZQYIHAXF

pith:2026:ZQYIHAXF2JXW6YVKIFOEEZWAKE

not attested not anchored not stored refs pending

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$

Haizhong Li, Yao Wan, Yijia Zhang

arxiv:2608.03949 v1 · 2026-08-04 · math.DG · math.AP · 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{ZQYIHAXF2JXW6YVKIFOEEZWAKE}

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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	2026-08-05T01:37:34.050170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc308382e5d26f6f62aa415c4266c0512e8ffc304729ccde7bdb45c2c0904dfc

Aliases

arxiv: 2608.03949 · arxiv_version: 2608.03949v1 · doi: 10.48550/arxiv.2608.03949 · pith_short_12: ZQYIHAXF2JXW · pith_short_16: ZQYIHAXF2JXW6YVK · pith_short_8: ZQYIHAXF

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/ZQYIHAXF2JXW6YVKIFOEEZWAKE \
  | 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: cc308382e5d26f6f62aa415c4266c0512e8ffc304729ccde7bdb45c2c0904dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db5c1bd8c8efd3c9cb7eb5b58492ab8a9c82d9d1cb478d0db1f5092faa3d302",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-08-04T17:13:43Z",
    "title_canon_sha256": "56bddd5c4d133310b7febf24783f085e062a485b38050ae1baafef90134ba74a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03949",
    "kind": "arxiv",
    "version": 1
  }
}