Pith Number

pith:VSQPULI4

pith:2025:VSQPULI4KF3BSKC4YHAZMX7DEP

not attested not anchored not stored refs pending

A discrete approach to Dirichlet L-functions, their special values and zeros

Anders Karlsson, Dylan M\"uller

arxiv:2512.01779 v3 · 2025-12-01 · 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{VSQPULI4KF3BSKC4YHAZMX7DEP}

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	2026-05-20T00:01:37.465294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca0fa2d1c517619285cc1c1965fe323e7c7d08270739207356ed0fefb7c654c

Aliases

arxiv: 2512.01779 · arxiv_version: 2512.01779v3 · doi: 10.48550/arxiv.2512.01779 · pith_short_12: VSQPULI4KF3B · pith_short_16: VSQPULI4KF3BSKC4 · pith_short_8: VSQPULI4

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/VSQPULI4KF3BSKC4YHAZMX7DEP \
  | 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: aca0fa2d1c517619285cc1c1965fe323e7c7d08270739207356ed0fefb7c654c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f9c10f7203de15dead8f3b2e13e053fecc5a1300db7528f0a8d90a9ea931c44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-01T15:20:02Z",
    "title_canon_sha256": "29af585def27455ec97df26ef1158d1dc78d534a14bf91a0aeb0eaf40301b7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01779",
    "kind": "arxiv",
    "version": 3
  }
}