Pith Number

pith:XYZLJ5GE

pith:2012:XYZLJ5GE7GWJJF3MTKB65PVTJP

not attested not anchored not stored refs pending

An optimal choice of Dirichlet polynomials for the Nyman-Beurling criterion

David W. Farmer, J. Brian Conrey, Sandro Bettin

arxiv:1211.5191 v1 · 2012-11-22 · 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{XYZLJ5GE7GWJJF3MTKB65PVTJP}

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	2026-05-18T01:10:54.977712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be32b4f4c4f9ac94976c9a83eebeb34be09ad16dc4b115322773685583d04e95

Aliases

arxiv: 1211.5191 · arxiv_version: 1211.5191v1 · doi: 10.48550/arxiv.1211.5191 · pith_short_12: XYZLJ5GE7GWJ · pith_short_16: XYZLJ5GE7GWJJF3M · pith_short_8: XYZLJ5GE

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/XYZLJ5GE7GWJJF3MTKB65PVTJP \
  | 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: be32b4f4c4f9ac94976c9a83eebeb34be09ad16dc4b115322773685583d04e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff20b39ecfb1aad22825530b82df5e748b035515052ff00c1d2031558f4059e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-22T02:56:34Z",
    "title_canon_sha256": "d4ea0975423c66c0b3c10656fe74d575153914e5f4115501c58f8df5469ded38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5191",
    "kind": "arxiv",
    "version": 1
  }
}