Pith Number

pith:DYKWTLFZ

pith:2020:DYKWTLFZZT2SZX4ADOPC33VRKM

not attested not anchored not stored refs pending

Joint Extreme values of $L$-functions

Akshaa Vatwani, Kamalakshya Mahatab, {\L}ukasz Pa\'nkowski

arxiv:2001.09274 v1 · 2020-01-25 · 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{DYKWTLFZZT2SZX4ADOPC33VRKM}

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	2026-07-05T00:35:57.819743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e1569acb9ccf52cdf801b9e2deeb1531a33fbc8546b3cca5f682869d0d3cb99

Aliases

arxiv: 2001.09274 · arxiv_version: 2001.09274v1 · doi: 10.48550/arxiv.2001.09274 · pith_short_12: DYKWTLFZZT2S · pith_short_16: DYKWTLFZZT2SZX4A · pith_short_8: DYKWTLFZ

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/DYKWTLFZZT2SZX4ADOPC33VRKM \
  | 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: 1e1569acb9ccf52cdf801b9e2deeb1531a33fbc8546b3cca5f682869d0d3cb99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f891937c42b6018e38c131642ba6097ab0b4256438bbaa83951b6d7370448c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-01-25T07:24:02Z",
    "title_canon_sha256": "5ee4b0c7b00caf16db79fc9a117315a1dbebbad3625759ccca73de1b97e64622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.09274",
    "kind": "arxiv",
    "version": 1
  }
}