Pith Number

pith:SBNETJAX

pith:2011:SBNETJAXMT6FEC5AXCGGKK6JB4

not attested not anchored not stored refs pending

Relative entropies for convex bodies

Elisabeth Werner, Justin Jenkinson

arxiv:1105.2846 v1 · 2011-05-13 · 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{SBNETJAXMT6FEC5AXCGGKK6JB4}

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	2026-05-18T04:22:01.926975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905a49a41764fc520ba0b88c652bc90f0a893687f6bd422645371af992772d7e

Aliases

arxiv: 1105.2846 · arxiv_version: 1105.2846v1 · doi: 10.48550/arxiv.1105.2846 · pith_short_12: SBNETJAXMT6F · pith_short_16: SBNETJAXMT6FEC5A · pith_short_8: SBNETJAX

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/SBNETJAXMT6FEC5AXCGGKK6JB4 \
  | 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: 905a49a41764fc520ba0b88c652bc90f0a893687f6bd422645371af992772d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b7f11b21e137af0f885ce24baa5bd9c8cd8818829d6c828cc237cb77e1e415",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-13T22:08:03Z",
    "title_canon_sha256": "75500e610152b1d6fe420c594c885248dde37d9d3bd61695df567026219150c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2846",
    "kind": "arxiv",
    "version": 1
  }
}