Pith Number

pith:5UHW2MIS

pith:2015:5UHW2MISXXBAXPMOFIOFT37UHH

not attested not anchored not stored refs pending

Non-vanishing Fourier coefficients of modular forms

Hourong Qin, Peng Tian

arxiv:1504.07381 v3 · 2015-04-28 · 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{5UHW2MISXXBAXPMOFIOFT37UHH}

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	2026-05-18T01:20:26.196775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0f6d3112bdc20bbd8e2a1c59eff439c32a4018f1a80c8833287f4745cd0f6e

Aliases

arxiv: 1504.07381 · arxiv_version: 1504.07381v3 · doi: 10.48550/arxiv.1504.07381 · pith_short_12: 5UHW2MISXXBA · pith_short_16: 5UHW2MISXXBAXPMO · pith_short_8: 5UHW2MIS

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/5UHW2MISXXBAXPMOFIOFT37UHH \
  | 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: ed0f6d3112bdc20bbd8e2a1c59eff439c32a4018f1a80c8833287f4745cd0f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf29f0ad0925e9c8620398147b03a77400d6a6990313b23e22a70088fe079bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-28T08:51:33Z",
    "title_canon_sha256": "a9c0ba10295ca7aa38695588c1f3ae81b02a929a33b8c992acbbba2349e6760d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07381",
    "kind": "arxiv",
    "version": 3
  }
}