Pith Number

pith:LZZKNGD7

pith:2016:LZZKNGD7ZSP5VBEY7RFCHUGCTR

not attested not anchored not stored refs pending

Dirichlet approximation and universal Dirichlet series

Fr\'ed\'eric Bayart, Manuel Maestre, Paul Gauthier, Richard Aron, Vassili Nestoridis

arxiv:1608.06457 v1 · 2016-08-23 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZZKNGD7ZSP5VBEY7RFCHUGCTR}

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	2026-05-18T01:08:13.991434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e72a6987fcc9fda8498fc4a23d0c29c59481ff3c8bc5a9823d8c117881243b4

Aliases

arxiv: 1608.06457 · arxiv_version: 1608.06457v1 · doi: 10.48550/arxiv.1608.06457 · pith_short_12: LZZKNGD7ZSP5 · pith_short_16: LZZKNGD7ZSP5VBEY · pith_short_8: LZZKNGD7

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/LZZKNGD7ZSP5VBEY7RFCHUGCTR \
  | 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: 5e72a6987fcc9fda8498fc4a23d0c29c59481ff3c8bc5a9823d8c117881243b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "311d40c20c3b2180ac22f11e3e5b7c84a91e4ddb45b54f8fdf6872880cbe03aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-08-23T10:47:18Z",
    "title_canon_sha256": "db9dd5a9fef4a1e1ab2d514726e1e8c949d5053c1dd905796f32dda8feac8414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06457",
    "kind": "arxiv",
    "version": 1
  }
}