Pith Number

pith:YIEARQI3

pith:2009:YIEARQI3E7AEZ7QAFF6LE5FJIO

not attested not anchored not stored refs pending

Relative entropy of cone measures and $L_p$ centroid bodies

Elisabeth M. Werner, Grigoris Paouris

arxiv:0909.4361 v1 · 2009-09-24 · 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{YIEARQI3E7AEZ7QAFF6LE5FJIO}

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	2026-05-18T02:58:02.731703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20808c11b27c04cfe00297cb274a943acfee2cf959bab32e8779764a09b9199

Aliases

arxiv: 0909.4361 · arxiv_version: 0909.4361v1 · doi: 10.48550/arxiv.0909.4361 · pith_short_12: YIEARQI3E7AE · pith_short_16: YIEARQI3E7AEZ7QA · pith_short_8: YIEARQI3

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/YIEARQI3E7AEZ7QAFF6LE5FJIO \
  | 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: c20808c11b27c04cfe00297cb274a943acfee2cf959bab32e8779764a09b9199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00decefa0a0bb5ce1288cfa96bf5ada4e5a737cfae5385cd64e6460a6e653b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-09-24T04:22:42Z",
    "title_canon_sha256": "cc52f9233b10178ffdb8876b92e4dde49fd99d553437de2189bccc40eaad41a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4361",
    "kind": "arxiv",
    "version": 1
  }
}