Pith Number

pith:7KRRNYEB

pith:2008:7KRRNYEBW7J3MOIAVRU6RJJCLI

not attested not anchored not stored refs pending

Bernstein measures on convex polytopes

Tatsuya Tate

arxiv:0805.3379 v3 · 2008-05-22 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KRRNYEBW7J3MOIAVRU6RJJCLI}

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	2026-05-18T00:30:49.924189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa316e081b7d3b63900ac69e8a5225a26adb96adc03df7e01885e8ba2f6059f

Aliases

arxiv: 0805.3379 · arxiv_version: 0805.3379v3 · doi: 10.48550/arxiv.0805.3379 · pith_short_12: 7KRRNYEBW7J3 · pith_short_16: 7KRRNYEBW7J3MOIA · pith_short_8: 7KRRNYEB

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/7KRRNYEBW7J3MOIAVRU6RJJCLI \
  | 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: faa316e081b7d3b63900ac69e8a5225a26adb96adc03df7e01885e8ba2f6059f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9029cedd178ab84116997ddf4a3c2b3c137959007aa5c6d74cad425b58067467",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-05-22T01:21:03Z",
    "title_canon_sha256": "a14a00316c1af09204d3cae04f0a89faa470bc348817702eb138cc31f2f596b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3379",
    "kind": "arxiv",
    "version": 3
  }
}