Pith Number

pith:QBVK2KRH

pith:2012:QBVK2KRHMZ3YIUIMXV5OEE7NP2

not attested not anchored not stored refs pending

Concentration of measures supported on the cube

Bo'az Klartag

arxiv:1208.1125 v2 · 2012-08-06 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBVK2KRHMZ3YIUIMXV5OEE7NP2}

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	2026-05-18T03:38:23.301399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

806aad2a27667784510cbd7ae213ed7e9588cb63b04180f4f826b6aebd047b46

Aliases

arxiv: 1208.1125 · arxiv_version: 1208.1125v2 · doi: 10.48550/arxiv.1208.1125 · pith_short_12: QBVK2KRHMZ3Y · pith_short_16: QBVK2KRHMZ3YIUIM · pith_short_8: QBVK2KRH

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/QBVK2KRHMZ3YIUIMXV5OEE7NP2 \
  | 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: 806aad2a27667784510cbd7ae213ed7e9588cb63b04180f4f826b6aebd047b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d8e4a465fe48535555249dfaf8b525a339d214c4433faf446ac9085b8607648",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-08-06T09:45:46Z",
    "title_canon_sha256": "45a72dd7a951b846bafeeeef46a6fca1a8bdd5f0068612173d7b174fec9b6e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1125",
    "kind": "arxiv",
    "version": 2
  }
}