Pith Number

pith:46YDUJD7

pith:2017:46YDUJD7TRXA7YUNW45SBDUEGD

not attested not anchored not stored refs pending

On the density function for the value-distribution of automorphic $L$-functions

Kohji Matsumoto, Yumiko Umegaki

arxiv:1707.04382 v1 · 2017-07-14 · 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{46YDUJD7TRXA7YUNW45SBDUEGD}

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	2026-05-18T00:40:18.403708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b03a247f9c6e0fe28db73b208e8430e3bc5337ed801203799c3ad8c73b40b7

Aliases

arxiv: 1707.04382 · arxiv_version: 1707.04382v1 · doi: 10.48550/arxiv.1707.04382 · pith_short_12: 46YDUJD7TRXA · pith_short_16: 46YDUJD7TRXA7YUN · pith_short_8: 46YDUJD7

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/46YDUJD7TRXA7YUNW45SBDUEGD \
  | 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: e7b03a247f9c6e0fe28db73b208e8430e3bc5337ed801203799c3ad8c73b40b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fef2ccd96d16365649caef360e777394ee39331d852d9fc5d56683766ed5b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-14T05:01:54Z",
    "title_canon_sha256": "88e4ef66f34f3cab423a267a98e0529ed1608d4d4d665bdf173da1d63a8fb361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04382",
    "kind": "arxiv",
    "version": 1
  }
}