Pith Number

pith:3SPAZE4S

pith:2014:3SPAZE4SLREDBWOVBTP3MO6BAE

not attested not anchored not stored refs pending

Almost sure-sign convergence of Hardy-type Dirichlet series

Andreas Defant, Daniel Carando, Pablo Sevilla-Peris

arxiv:1412.5030 v1 · 2014-12-16 · 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{3SPAZE4SLREDBWOVBTP3MO6BAE}

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	2026-05-18T02:31:09.813356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9e0c93925c4830d9d50cdfb63bc101023b36875f57b0bc8fcd5d3a5f781499

Aliases

arxiv: 1412.5030 · arxiv_version: 1412.5030v1 · doi: 10.48550/arxiv.1412.5030 · pith_short_12: 3SPAZE4SLRED · pith_short_16: 3SPAZE4SLREDBWOV · pith_short_8: 3SPAZE4S

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/3SPAZE4SLREDBWOVBTP3MO6BAE \
  | 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: dc9e0c93925c4830d9d50cdfb63bc101023b36875f57b0bc8fcd5d3a5f781499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "383b7cf4e0b57f7fbd50de56126f21d677925c14fabcf236f623a0d7774968cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-16T15:00:33Z",
    "title_canon_sha256": "ab1071722001e0e855ffe7e4ad8ba7b628eceec9627103e219a0037d46f99e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5030",
    "kind": "arxiv",
    "version": 1
  }
}