Pith Number

pith:AJH2DLLD

pith:2022:AJH2DLLD6ONDPF5ZHEALBJX7TE

not attested not anchored not stored refs pending

Conditional estimates for $L$-functions in the Selberg class

Aleksander Simoni\v{c}, Neea Paloj\"arvi

arxiv:2211.01121 v3 · 2022-11-02 · 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{AJH2DLLD6ONDPF5ZHEALBJX7TE}

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	2026-07-05T08:55:19.579551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024fa1ad63f39a3797b93900b0a6ff992a4c78b0fa3743d5f46c140a1a2e1a03

Aliases

arxiv: 2211.01121 · arxiv_version: 2211.01121v3 · doi: 10.48550/arxiv.2211.01121 · pith_short_12: AJH2DLLD6OND · pith_short_16: AJH2DLLD6ONDPF5Z · pith_short_8: AJH2DLLD

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/AJH2DLLD6ONDPF5ZHEALBJX7TE \
  | 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: 024fa1ad63f39a3797b93900b0a6ff992a4c78b0fa3743d5f46c140a1a2e1a03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44762c0f8bbe0458b94c512deaf95ab99265b66edb4b4ef9520712b36d27584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-11-02T13:55:30Z",
    "title_canon_sha256": "e02aa2d275048f54015a7e22e269325ca5b1a7c20c2d1eeb6873ae047734c775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.01121",
    "kind": "arxiv",
    "version": 3
  }
}