Pith Number

pith:OJ2A63KX

pith:2013:OJ2A63KXOV76U652WYLHLCS7LA

not attested not anchored not stored refs pending

Metric entropy, n-widths, and sampling of functions on manifolds

Frank Filbir, Martin Ehler

arxiv:1311.1393 v4 · 2013-11-06 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJ2A63KXOV76U652WYLHLCS7LA}

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	2026-05-18T00:15:53.109672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72740f6d57757fea7bbab616758a5f581026930178114455cb21a4d0d3fccfcf

Aliases

arxiv: 1311.1393 · arxiv_version: 1311.1393v4 · doi: 10.48550/arxiv.1311.1393 · pith_short_12: OJ2A63KXOV76 · pith_short_16: OJ2A63KXOV76U652 · pith_short_8: OJ2A63KX

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/OJ2A63KXOV76U652WYLHLCS7LA \
  | 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: 72740f6d57757fea7bbab616758a5f581026930178114455cb21a4d0d3fccfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1dc47077ba01e4252bc9073fa0360f639e3ff842d9cf03e5dd949dbe65f7f8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-06T13:56:41Z",
    "title_canon_sha256": "403b0e64541ab7b36b6e82c18bec00508eeb041f7cf054694de077e7abac9311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1393",
    "kind": "arxiv",
    "version": 4
  }
}