Pith Number

pith:6HHALCCP

pith:2017:6HHALCCPSU7MV33QRYDHY5UY5L

not attested not anchored not stored refs pending

Best approximation properties in spaces of measurable functions

Grzegorz Lewicki, Maciej Ciesielski

arxiv:1707.02559 v1 · 2017-07-09 · 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{6HHALCCPSU7MV33QRYDHY5UY5L}

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	2026-05-18T00:40:36.485678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ce05884f953ecaef708e067c7698eaed1e0003b2b69b93889d433cd02b7b0e

Aliases

arxiv: 1707.02559 · arxiv_version: 1707.02559v1 · doi: 10.48550/arxiv.1707.02559 · pith_short_12: 6HHALCCPSU7M · pith_short_16: 6HHALCCPSU7MV33Q · pith_short_8: 6HHALCCP

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/6HHALCCPSU7MV33QRYDHY5UY5L \
  | 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: f1ce05884f953ecaef708e067c7698eaed1e0003b2b69b93889d433cd02b7b0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b958b782cbb405e5874e1cfdaac7cb399f2fce363f96d12e2c49116e6aaf242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-09T10:56:10Z",
    "title_canon_sha256": "3ea46d6b46a5b5db405db47e99a88fa018aef501072c1ec731652c4fa351237a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02559",
    "kind": "arxiv",
    "version": 1
  }
}