Pith Number

pith:2QC422RE

pith:2017:2QC422REV7RQJ3MLIL4C7FIWSE

not attested not anchored not stored refs pending

Non-zero coefficients of half-integral weight modular forms mod $\ell$

Ben Green, Jo\"el Bella\"iche, Kannan Soundararajan

arxiv:1704.07440 v1 · 2017-04-24 · 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{2QC422REV7RQJ3MLIL4C7FIWSE}

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	2026-05-18T00:45:38.104134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d405cd6a24afe304ed8b42f82f9516910ce6f3c4c40026b5942de982456ef89a

Aliases

arxiv: 1704.07440 · arxiv_version: 1704.07440v1 · doi: 10.48550/arxiv.1704.07440 · pith_short_12: 2QC422REV7RQ · pith_short_16: 2QC422REV7RQJ3ML · pith_short_8: 2QC422RE

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/2QC422REV7RQJ3MLIL4C7FIWSE \
  | 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: d405cd6a24afe304ed8b42f82f9516910ce6f3c4c40026b5942de982456ef89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca308c5bd28faf357ec06968cef29690c77c818901a2ca2a804c78c87d40da3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-24T20:00:58Z",
    "title_canon_sha256": "3d6c9bcf802f2cc81900d1accaa6ba32bce0e8319a26da19c16b5e8bfec1dc96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07440",
    "kind": "arxiv",
    "version": 1
  }
}