Pith Number

pith:QZBYIB2L

pith:2015:QZBYIB2LFZIOMRZEYB2Z7SRD5O

not attested not anchored not stored refs pending

An isoperimetric inequality for Gauss--like product measures

Anna Mercaldo, Francesco Chiacchio, Friedemann Brock

arxiv:1504.04961 v1 · 2015-04-20 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZBYIB2LFZIOMRZEYB2Z7SRD5O}

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	2026-05-18T02:18:23.101058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864384074b2e50e64724c0759fca23eb9c230bca49222908b682a6b9e423184b

Aliases

arxiv: 1504.04961 · arxiv_version: 1504.04961v1 · doi: 10.48550/arxiv.1504.04961 · pith_short_12: QZBYIB2LFZIO · pith_short_16: QZBYIB2LFZIOMRZE · pith_short_8: QZBYIB2L

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/QZBYIB2LFZIOMRZEYB2Z7SRD5O \
  | 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: 864384074b2e50e64724c0759fca23eb9c230bca49222908b682a6b9e423184b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3182298eabb59cefd1b78f04cf425ba0af6b976ac3a46c0626a37adb224a8168",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-20T08:09:14Z",
    "title_canon_sha256": "6fd0efd24fe36ede9a65e157af108697eedb0329608efbfd679b065c6d364c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04961",
    "kind": "arxiv",
    "version": 1
  }
}