Pith Number

pith:RTNYP7XK

pith:2012:RTNYP7XKMKDSTS3BILKGJ6PLW4

not attested not anchored not stored refs pending

Zeros of weakly holomorphic modular forms of levels 2 and 3

Paul Jenkins, Sharon Anne Garthwaite

arxiv:1205.7050 v2 · 2012-05-31 · 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{RTNYP7XKMKDSTS3BILKGJ6PLW4}

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

Zeros of certain combinations of Eisenstein series of weight 2k, 3k, and k + l

Receipt and verification

First computed	2026-05-18T03:25:59.487828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cdb87feea628729cb6142d464f9ebb7032718de53ba4469a7f1131750f954ce

Aliases

arxiv: 1205.7050 · arxiv_version: 1205.7050v2 · doi: 10.48550/arxiv.1205.7050 · pith_short_12: RTNYP7XKMKDS · pith_short_16: RTNYP7XKMKDSTS3B · pith_short_8: RTNYP7XK

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/RTNYP7XKMKDSTS3BILKGJ6PLW4 \
  | 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: 8cdb87feea628729cb6142d464f9ebb7032718de53ba4469a7f1131750f954ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "990210fa1f42c9d8d7324326153470713ed45065be15643b71fb7bab80524a5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-31T17:26:47Z",
    "title_canon_sha256": "3f240e0cd8ba78e6c68f63ba289e11d0bc383af1bed3e6502be401867bc7c3dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7050",
    "kind": "arxiv",
    "version": 2
  }
}