Pith Number

pith:PWWHASSX

pith:2011:PWWHASSXZLPKPDZLIQIRWKWUS3

not attested not anchored not stored refs pending

On the approximation of a polytope by its dual $L_{p}$-centroid bodies

Elisabeth M. Werner, Grigoris Paouris

arxiv:1107.3683 v1 · 2011-07-19 · 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{PWWHASSXZLPKPDZLIQIRWKWUS3}

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	2026-05-18T04:17:24.189369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dac704a57cadea78f2b44111b2ad496ff4b303253abc8442a9b2a66ba5ead79

Aliases

arxiv: 1107.3683 · arxiv_version: 1107.3683v1 · doi: 10.48550/arxiv.1107.3683 · pith_short_12: PWWHASSXZLPK · pith_short_16: PWWHASSXZLPKPDZL · pith_short_8: PWWHASSX

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/PWWHASSXZLPKPDZLIQIRWKWUS3 \
  | 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: 7dac704a57cadea78f2b44111b2ad496ff4b303253abc8442a9b2a66ba5ead79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ce6b6a4748bb1d5c8fa1b1f3ce911d4eedce989d26b5ff2392dea2f96bf935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-19T10:56:00Z",
    "title_canon_sha256": "ca8d3c3d9a20aa9a303563d640a6cef1f03cfe771b716486e18efffb304d3f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3683",
    "kind": "arxiv",
    "version": 1
  }
}