Pith Number

pith:ISX4RVZ7

pith:2017:ISX4RVZ7ZNWHHVUZKEN3K7IMB3

not attested not anchored not stored refs pending

Niebur-Poincar\'e Series and Traces of Singular Moduli

Steffen L\"obrich

arxiv:1704.08147 v3 · 2017-04-26 · 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{ISX4RVZ7ZNWHHVUZKEN3K7IMB3}

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	2026-05-18T00:18:26.831351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44afc8d73fcb6c73d699511bb57d0c0efabc190e90d058fab62cb1fa9a27a1ca

Aliases

arxiv: 1704.08147 · arxiv_version: 1704.08147v3 · doi: 10.48550/arxiv.1704.08147 · pith_short_12: ISX4RVZ7ZNWH · pith_short_16: ISX4RVZ7ZNWHHVUZ · pith_short_8: ISX4RVZ7

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/ISX4RVZ7ZNWHHVUZKEN3K7IMB3 \
  | 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: 44afc8d73fcb6c73d699511bb57d0c0efabc190e90d058fab62cb1fa9a27a1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f41f4a405571e49371f9df40ec4817a967e66ad260661f9c4ab9a475fc6f82c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-26T14:51:57Z",
    "title_canon_sha256": "901a0858e20fd4dbab6432944654ed7acfc7552fdafad3d2c362d954e36b4eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08147",
    "kind": "arxiv",
    "version": 3
  }
}