Pith Number

pith:NWA32TS7

pith:2025:NWA32TS7TNRPMPV43S2UE6JQMF

not attested not anchored not stored refs pending

Estimating the number of zeros of Dedekind zeta-functions

Victor Amberger

arxiv:2510.27444 v4 · 2025-10-31 · 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{NWA32TS7TNRPMPV43S2UE6JQMF}

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.

Cited by

1 paper in Pith

Counting zeros of Artin $L$-functions

Receipt and verification

First computed	2026-05-28T02:04:44.103238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d81bd4e5f9b62f63ebcdcb5427930614cdd429694daeaf1c3360e1475151bd6

Aliases

arxiv: 2510.27444 · arxiv_version: 2510.27444v4 · doi: 10.48550/arxiv.2510.27444 · pith_short_12: NWA32TS7TNRP · pith_short_16: NWA32TS7TNRPMPV4 · pith_short_8: NWA32TS7

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/NWA32TS7TNRPMPV43S2UE6JQMF \
  | 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: 6d81bd4e5f9b62f63ebcdcb5427930614cdd429694daeaf1c3360e1475151bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2cec53db1a9283bba82933399e3e8e3c8ce6eb343ec7897a991cd1730180f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-10-31T12:52:31Z",
    "title_canon_sha256": "07139772989144cf4f9a0a1cdfcf97a9474a21bd387f7842ad008308c420de84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.27444",
    "kind": "arxiv",
    "version": 4
  }
}