Pith Number

pith:GW3KS3C4

pith:2013:GW3KS3C4ZSY6R2AT2GJ7IMJEXL

not attested not anchored not stored refs pending

On the relation between Lebesgue summability and some other summation methods

Jasson Vindas

arxiv:1305.0200 v2 · 2013-05-01 · math.CA · 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{GW3KS3C4ZSY6R2AT2GJ7IMJEXL}

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	2026-05-18T03:07:34.242583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b6a96c5cccb1e8e813d193f43124badaaf5ae2d9f70fb37829a327fde67aa6

Aliases

arxiv: 1305.0200 · arxiv_version: 1305.0200v2 · doi: 10.48550/arxiv.1305.0200 · pith_short_12: GW3KS3C4ZSY6 · pith_short_16: GW3KS3C4ZSY6R2AT · pith_short_8: GW3KS3C4

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/GW3KS3C4ZSY6R2AT2GJ7IMJEXL \
  | 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: 35b6a96c5cccb1e8e813d193f43124badaaf5ae2d9f70fb37829a327fde67aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efaa3dfba00df8f8b7b263eedc6d900a5499d19b96b3fb102eb8a9f1fa080037",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-01T15:21:20Z",
    "title_canon_sha256": "49c7fd50936e72c35a88bbcc32e8d837a507a302bc4a48a06c5f1a54b60d94d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0200",
    "kind": "arxiv",
    "version": 2
  }
}