Pith Number

pith:3HAHEQ7V

pith:2012:3HAHEQ7V2TVAR4WQNSKUUIIJ3B

not attested not anchored not stored refs pending

Simple zeros of primitive Dirichlet $L$-functions and the asymptotic large sieve

Maksym Radziwi\l\l, Sheng-chi Liu, Vorrapan Chandee, Yoonbok Lee

arxiv:1211.6725 v2 · 2012-11-28 · 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{3HAHEQ7V2TVAR4WQNSKUUIIJ3B}

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	2026-05-18T03:33:38.629610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c07243f5d4ea08f2d06c954a2109d876d54a1412fa19e5ae45d82efc7afd05

Aliases

arxiv: 1211.6725 · arxiv_version: 1211.6725v2 · doi: 10.48550/arxiv.1211.6725 · pith_short_12: 3HAHEQ7V2TVA · pith_short_16: 3HAHEQ7V2TVAR4WQ · pith_short_8: 3HAHEQ7V

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/3HAHEQ7V2TVAR4WQNSKUUIIJ3B \
  | 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: d9c07243f5d4ea08f2d06c954a2109d876d54a1412fa19e5ae45d82efc7afd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ccf8a0eb76e70395940391e7648a46782f1e7ca6f1593ae3e879301475ca7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-28T20:08:15Z",
    "title_canon_sha256": "5f2733b69719bbc77f3df6c19f2d291f04beb56f5de479de7526a1edf6ed0a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6725",
    "kind": "arxiv",
    "version": 2
  }
}