Pith Number

pith:L3BFVG5I

pith:2018:L3BFVG5IEXQOBUZCIAHSNNS6B4

not attested not anchored not stored refs pending

Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms

Moni Kumari, M. Ram Murty

arxiv:1804.09892 v1 · 2018-04-26 · 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{L3BFVG5IEXQOBUZCIAHSNNS6B4}

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	2026-05-18T00:17:27.543354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec25a9ba825e0e0d322400f26b65e0f29ca33c50dfd22f972a140203c4f1eb9

Aliases

arxiv: 1804.09892 · arxiv_version: 1804.09892v1 · doi: 10.48550/arxiv.1804.09892 · pith_short_12: L3BFVG5IEXQO · pith_short_16: L3BFVG5IEXQOBUZC · pith_short_8: L3BFVG5I

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/L3BFVG5IEXQOBUZCIAHSNNS6B4 \
  | 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: 5ec25a9ba825e0e0d322400f26b65e0f29ca33c50dfd22f972a140203c4f1eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074410a7c0a43cffdecfdb7d0eb9cb500ffba1ae678b107af90bdb5c33d68ee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-26T05:33:48Z",
    "title_canon_sha256": "30fc26a22de5747db928a902bf1025d5fbd7d11f68af1b21730685df6d397133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09892",
    "kind": "arxiv",
    "version": 1
  }
}