Pith Number

pith:2ZLYVB7E

pith:2012:2ZLYVB7ETW7T7MTXUGLONW6BPB

not attested not anchored not stored refs pending

Distributional versions of Littlewood's Tauberian theorem

Jasson Vindas, Ricardo Estrada

arxiv:1201.1408 v1 · 2012-01-06 · 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{2ZLYVB7ETW7T7MTXUGLONW6BPB}

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	2026-05-18T03:12:35.281140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6578a87e49dbf3fb277a196e6dbc1784ceed4ac4b0e9f0d2cb93e007dc82c05

Aliases

arxiv: 1201.1408 · arxiv_version: 1201.1408v1 · doi: 10.48550/arxiv.1201.1408 · pith_short_12: 2ZLYVB7ETW7T · pith_short_16: 2ZLYVB7ETW7T7MTX · pith_short_8: 2ZLYVB7E

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/2ZLYVB7ETW7T7MTXUGLONW6BPB \
  | 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: d6578a87e49dbf3fb277a196e6dbc1784ceed4ac4b0e9f0d2cb93e007dc82c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fa4658031df62021a79f74ee90f522312831fb3c76a06e19d16ad682e901ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-06T13:07:46Z",
    "title_canon_sha256": "a9a0a9c8f3fe6d3f89bcd30ca97d383dbb5099134111ec70847a8ba360f4d088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1408",
    "kind": "arxiv",
    "version": 1
  }
}