Pith Number

pith:33D2OF7K

pith:2019:33D2OF7KUIJE3UIGCPBLES7L6R

not attested not anchored not stored refs pending

Large values of $L$-functions on $1$-line

Anup B. Dixit, Kamalakshya Mahatab

arxiv:1901.01625 v4 · 2019-01-06 · 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{33D2OF7KUIJE3UIGCPBLES7L6R}

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	2026-07-05T00:55:56.038390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec7a717eaa2124dd10613c2b24bebf469811065a0ef484dd0c495f7f82cb981

Aliases

arxiv: 1901.01625 · arxiv_version: 1901.01625v4 · doi: 10.48550/arxiv.1901.01625 · pith_short_12: 33D2OF7KUIJE · pith_short_16: 33D2OF7KUIJE3UIG · pith_short_8: 33D2OF7K

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/33D2OF7KUIJE3UIGCPBLES7L6R \
  | 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: dec7a717eaa2124dd10613c2b24bebf469811065a0ef484dd0c495f7f82cb981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81460257b856ef83a7ad65336dc479d2b5d1cb39f3e061ce977f04ab68355cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-06T23:27:16Z",
    "title_canon_sha256": "a1fc89fe4d435726460d72c57020275dd6d61840e6a52753c399a17499987793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01625",
    "kind": "arxiv",
    "version": 4
  }
}