Pith Number

pith:CB27G47L

pith:2016:CB27G47LEU5CYIYYJNIETL273L

not attested not anchored not stored refs pending

Central Limit Theorems for series of Dirichlet characters

Andr\'e LeClair

arxiv:1612.09237 v1 · 2016-12-29 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CB27G47LEU5CYIYYJNIETL273L}

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	2026-05-18T00:53:46.191236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1075f373eb253a2c23184b5049af5fdac9216d972db67946262b57c875a8380a

Aliases

arxiv: 1612.09237 · arxiv_version: 1612.09237v1 · doi: 10.48550/arxiv.1612.09237 · pith_short_12: CB27G47LEU5C · pith_short_16: CB27G47LEU5CYIYY · pith_short_8: CB27G47L

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/CB27G47LEU5CYIYYJNIETL273L \
  | 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: 1075f373eb253a2c23184b5049af5fdac9216d972db67946262b57c875a8380a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba22b79af1ab5bd074917573fbdcb176ec900c4942dbbb3b7c59979d6a7158b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-29T18:30:58Z",
    "title_canon_sha256": "db7853fdeee4ad1e82065bf46f9cb515448eaeec574dc9e583758c27eb9e1553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09237",
    "kind": "arxiv",
    "version": 1
  }
}