Pith Number

pith:HWTVIXBZ

pith:2023:HWTVIXBZGDTPFWCK3Q57NWO5RZ

not attested not anchored not stored refs pending

Dual Brunn-Minkowski inequality for C-star bodies

Tingting Xiang, Xudong Wang

arxiv:2312.07095 v2 · 2023-12-12 · 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{HWTVIXBZGDTPFWCK3Q57NWO5RZ}

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	2026-07-05T07:24:02.975341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da7545c3930e6f2d84adc3bf6d9dd8e4db0c9e128e5d1615c982f9383668549

Aliases

arxiv: 2312.07095 · arxiv_version: 2312.07095v2 · doi: 10.48550/arxiv.2312.07095 · pith_short_12: HWTVIXBZGDTP · pith_short_16: HWTVIXBZGDTPFWCK · pith_short_8: HWTVIXBZ

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/HWTVIXBZGDTPFWCK3Q57NWO5RZ \
  | 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: 3da7545c3930e6f2d84adc3bf6d9dd8e4db0c9e128e5d1615c982f9383668549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70daf766f81c0b3c3c038f3e09f76a0af9004d313b40c1a6b4255466a5caaa6a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-12-12T09:26:17Z",
    "title_canon_sha256": "1b6f04bee40c24734c98be82f2caa82eec90266cf1bc161108890981b9314038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07095",
    "kind": "arxiv",
    "version": 2
  }
}