Pith Number

pith:6GW5HDAI

pith:2012:6GW5HDAIRFCMLBIS6JX7IYCKKH

not attested not anchored not stored refs pending

Entropy numbers of convex hulls in Banach spaces and applications

Aicke Hinrichs, Bernd Carl, Philipp Rudolph

arxiv:1211.1559 v1 · 2012-11-07 · 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{6GW5HDAIRFCMLBIS6JX7IYCKKH}

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	2026-05-18T02:32:39.214605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1add38c088944c58512f26ff4604a51e12b07ad6884d55725850c02ce5e84e0

Aliases

arxiv: 1211.1559 · arxiv_version: 1211.1559v1 · doi: 10.48550/arxiv.1211.1559 · pith_short_12: 6GW5HDAIRFCM · pith_short_16: 6GW5HDAIRFCMLBIS · pith_short_8: 6GW5HDAI

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/6GW5HDAIRFCMLBIS6JX7IYCKKH \
  | 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: f1add38c088944c58512f26ff4604a51e12b07ad6884d55725850c02ce5e84e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa881ac5ec4e39ce04748ebd294ffd0d500ce15aa3c66948b79ec6fda4a7d3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-07T14:37:47Z",
    "title_canon_sha256": "d104fe70b41dad64b0b6f492669af6fc14e9522c1fd2b16d220d0458a9a346a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1559",
    "kind": "arxiv",
    "version": 1
  }
}