Pith Number

pith:KDXHFB5W

pith:2015:KDXHFB5WFIQUUC5L4R5SUVLRAA

not attested not anchored not stored refs pending

Bernstein's Lethargy Theorem in Frechet Spaces

Asuman Guven Aksoy, Grzegorz Lewicki

arxiv:1503.06190 v1 · 2015-03-20 · 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{KDXHFB5WFIQUUC5L4R5SUVLRAA}

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	2026-05-18T02:20:48.370331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50ee7287b62a214a0babe47b2a557100067a899ca963b0dd09953f50bbf91622

Aliases

arxiv: 1503.06190 · arxiv_version: 1503.06190v1 · doi: 10.48550/arxiv.1503.06190 · pith_short_12: KDXHFB5WFIQU · pith_short_16: KDXHFB5WFIQUUC5L · pith_short_8: KDXHFB5W

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/KDXHFB5WFIQUUC5L4R5SUVLRAA \
  | 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: 50ee7287b62a214a0babe47b2a557100067a899ca963b0dd09953f50bbf91622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e367a901f3acf8728111ebc2870a214cfaab4dd49413d98803ab13d2d8b2166",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-20T18:43:03Z",
    "title_canon_sha256": "37bf95617bc1ca847d9d8d1c89736b2db82dd3e3bedc8b51972c025876d9f8dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06190",
    "kind": "arxiv",
    "version": 1
  }
}