Pith Number

pith:LBTC5WTR

pith:2015:LBTC5WTRDOSPX2SDKVDE3SJYBI

not attested not anchored not stored refs pending

Szlenk indices of convex hulls

Antonin Proch\'azka, Gilles Lancien, Matias Raja

arxiv:1504.06997 v3 · 2015-04-27 · 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{LBTC5WTRDOSPX2SDKVDE3SJYBI}

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	2026-05-18T01:02:13.961518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58662eda711ba4fbea4355464dc9380a39727e98f695f5b296502ca5d14f634d

Aliases

arxiv: 1504.06997 · arxiv_version: 1504.06997v3 · doi: 10.48550/arxiv.1504.06997 · pith_short_12: LBTC5WTRDOSP · pith_short_16: LBTC5WTRDOSPX2SD · pith_short_8: LBTC5WTR

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/LBTC5WTRDOSPX2SDKVDE3SJYBI \
  | 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: 58662eda711ba4fbea4355464dc9380a39727e98f695f5b296502ca5d14f634d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf98b29125c5ffd6a96e319b78ea27e3633ece695d95465896402f8455c348ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-27T09:34:40Z",
    "title_canon_sha256": "6c6972fa11115acb47fa7873a8bfed3f9a5328cf6474828aacc049a59432c196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06997",
    "kind": "arxiv",
    "version": 3
  }
}