Pith Number

pith:YABW5XFI

pith:2012:YABW5XFIY5BU7ZZR2KC275DSK7

not attested not anchored not stored refs pending

Quermassintegrals of quasi-concave functions and generalized Pr\'ekopa-Leindler inequalities

Andrea Colesanti, Ilaria Fragal\`a, Sergey Bobkov

arxiv:1210.6364 v1 · 2012-10-23 · 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{YABW5XFIY5BU7ZZR2KC275DSK7}

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	2026-05-18T03:42:25.055908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0036edca8c7434fe731d285aff47257ebee33359a8dd66a6d6614ce380739d3

Aliases

arxiv: 1210.6364 · arxiv_version: 1210.6364v1 · doi: 10.48550/arxiv.1210.6364 · pith_short_12: YABW5XFIY5BU · pith_short_16: YABW5XFIY5BU7ZZR · pith_short_8: YABW5XFI

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/YABW5XFIY5BU7ZZR2KC275DSK7 \
  | 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: c0036edca8c7434fe731d285aff47257ebee33359a8dd66a6d6614ce380739d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ff1bc4cd82bb6a5c3542a21b3c24717d02ac2b1e8e032d65e889fdb1520e5d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-23T20:08:57Z",
    "title_canon_sha256": "19a27185eeffac0aab84eeebd56e3437f1e20d1fc8f8c60eb47001448c8276df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6364",
    "kind": "arxiv",
    "version": 1
  }
}