Pith Number

pith:5YKSAJJH

pith:2013:5YKSAJJH664OREMCROAAN3A3MB

not attested not anchored not stored refs pending

Complemented Brunn-Minkowski Inequalities and Isoperimetry for Homogeneous and Non-Homogeneous Measures

Emanuel Milman, Liran Rotem

arxiv:1308.5695 v2 · 2013-08-26 · 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{5YKSAJJH664OREMCROAAN3A3MB}

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	2026-05-18T02:49:12.234237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee15202527f7b8e891828b8006ec1b6073ca31ac54b95e6bf0c0b1342a763888

Aliases

arxiv: 1308.5695 · arxiv_version: 1308.5695v2 · doi: 10.48550/arxiv.1308.5695 · pith_short_12: 5YKSAJJH664O · pith_short_16: 5YKSAJJH664OREMC · pith_short_8: 5YKSAJJH

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/5YKSAJJH664OREMCROAAN3A3MB \
  | 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: ee15202527f7b8e891828b8006ec1b6073ca31ac54b95e6bf0c0b1342a763888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23dd3af49e494011301c2ee4ce5fb9b44f2bbfdce6a6d37000b821a49d2411f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-26T20:33:32Z",
    "title_canon_sha256": "3e7f2f6490743f5b7dadfd07b7ee8f3f0c56bcff90ce99b369a2056e79ad2fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5695",
    "kind": "arxiv",
    "version": 2
  }
}