Pith Number

pith:ZPCDMYVW

pith:2017:ZPCDMYVWAE7UJOMVBT7YA2QCOW

not attested not anchored not stored refs pending

A short elementary proof of reversed Brunn--Minkowski inequality for coconvex bodies

Fran\c{c}ois Fillastre

arxiv:1711.04272 v1 · 2017-11-12 · 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{ZPCDMYVWAE7UJOMVBT7YA2QCOW}

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	2026-05-18T00:30:39.525753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc43662b6013f44b9950cff806a027584cebd20e1e9d0604f8c128cbf113ae3

Aliases

arxiv: 1711.04272 · arxiv_version: 1711.04272v1 · doi: 10.48550/arxiv.1711.04272 · pith_short_12: ZPCDMYVWAE7U · pith_short_16: ZPCDMYVWAE7UJOMV · pith_short_8: ZPCDMYVW

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/ZPCDMYVWAE7UJOMVBT7YA2QCOW \
  | 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: cbc43662b6013f44b9950cff806a027584cebd20e1e9d0604f8c128cbf113ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d583da66c4bd17b536d784064c10bb132184e2b27454330433520450bf53618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-11-12T11:00:46Z",
    "title_canon_sha256": "586419a727663cdb11b04b0d187eebac924956a217769c3612276e1fdc9369e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04272",
    "kind": "arxiv",
    "version": 1
  }
}