Pith Number

pith:MANV2WKA

pith:2015:MANV2WKABN72V65UKKG4XJXY6I

not attested not anchored not stored refs pending

Improved $L_p-$mixed volume inequality for convex bodies

Van Hoang Nguyen

arxiv:1506.04250 v1 · 2015-06-13 · math.FA · 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{MANV2WKABN72V65UKKG4XJXY6I}

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	2026-05-18T01:49:55.155287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

601b5d59400b7faafbb4528dcba6f8f20cb8a1aa8015028c353c8a6336aea1be

Aliases

arxiv: 1506.04250 · arxiv_version: 1506.04250v1 · doi: 10.48550/arxiv.1506.04250 · pith_short_12: MANV2WKABN72 · pith_short_16: MANV2WKABN72V65U · pith_short_8: MANV2WKA

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/MANV2WKABN72V65UKKG4XJXY6I \
  | 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: 601b5d59400b7faafbb4528dcba6f8f20cb8a1aa8015028c353c8a6336aea1be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512c1cc501cccb6855c426e2af9886a2274daf85ad3168649cc9eb36a6c4265e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-13T10:59:03Z",
    "title_canon_sha256": "38a2c268bf02b27608d531bf8c365f30f9f651f8d4a1b21090428f18d17addd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04250",
    "kind": "arxiv",
    "version": 1
  }
}