Pith Number

pith:WQM2PLWM

pith:2025:WQM2PLWMVR5I6PM6VFVDMCVB7B

not attested not anchored not stored refs pending

Zeros of Polynomials in Derivatives of Automorphic $L$-functions

Alexandru Zaharescu, Anji Dong, Nawapan Wattanawanichkul

arxiv:2512.22451 v2 · 2025-12-27 · 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{WQM2PLWMVR5I6PM6VFVDMCVB7B}

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	2026-07-07T02:19:44.290817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b419a7aeccac7a8f3d9ea96a360aa1f857e93d280b44aaa442838c2cf7753618

Aliases

arxiv: 2512.22451 · arxiv_version: 2512.22451v2 · doi: 10.48550/arxiv.2512.22451 · pith_short_12: WQM2PLWMVR5I · pith_short_16: WQM2PLWMVR5I6PM6 · pith_short_8: WQM2PLWM

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/WQM2PLWMVR5I6PM6VFVDMCVB7B \
  | 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: b419a7aeccac7a8f3d9ea96a360aa1f857e93d280b44aaa442838c2cf7753618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d712d77935e1b86a1b9a8d8ed3ec3db7fc8325bf9f36d1541c5e28cfb05c0e52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-27T03:40:38Z",
    "title_canon_sha256": "919125cfbe1c4dd9b9b243d8c5b763f331ecceed02c3bd407f4a9c2346d4429b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22451",
    "kind": "arxiv",
    "version": 2
  }
}