Pith Number

pith:3BMGMXY2

pith:2020:3BMGMXY27TV7RJGXHICCVIMULR

not attested not anchored not stored refs pending

Large Fourier coefficients of half-integer weight modular forms

K. Soundararajan, S. Gun, W. Kohnen

arxiv:2004.14450 v1 · 2020-04-29 · 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{3BMGMXY27TV7RJGXHICCVIMULR}

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	2026-07-05T00:59:26.439076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d858665f1afcebf8a4d73a042aa1945c42a882c01645a1a6a6891ce4d7feb973

Aliases

arxiv: 2004.14450 · arxiv_version: 2004.14450v1 · doi: 10.48550/arxiv.2004.14450 · pith_short_12: 3BMGMXY27TV7 · pith_short_16: 3BMGMXY27TV7RJGX · pith_short_8: 3BMGMXY2

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/3BMGMXY27TV7RJGXHICCVIMULR \
  | 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: d858665f1afcebf8a4d73a042aa1945c42a882c01645a1a6a6891ce4d7feb973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdfc9c72acd689ed1ab17e55b530c934f26424c67b69015022e41727f1e32bbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-04-29T20:00:24Z",
    "title_canon_sha256": "d778c9648a996ae30fa95b729bf485617342edbb19b52836bf89c0f015127e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.14450",
    "kind": "arxiv",
    "version": 1
  }
}