Pith Number

pith:Y4ADKNVQ

pith:2018:Y4ADKNVQO5TPR26FBSYMNP2GGZ

not attested not anchored not stored refs pending

The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms

Balesh Kumar, Biplab Paul, Sanoli Gun

arxiv:1801.10590 v2 · 2018-01-31 · 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{Y4ADKNVQO5TPR26FBSYMNP2GGZ}

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	2026-05-18T00:21:34.197960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7003536b07766f8ebc50cb0c6bf463674d4f2e4b53950d32e0b66d0efc166d4

Aliases

arxiv: 1801.10590 · arxiv_version: 1801.10590v2 · doi: 10.48550/arxiv.1801.10590 · pith_short_12: Y4ADKNVQO5TP · pith_short_16: Y4ADKNVQO5TPR26F · pith_short_8: Y4ADKNVQ

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/Y4ADKNVQO5TPR26FBSYMNP2GGZ \
  | 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: c7003536b07766f8ebc50cb0c6bf463674d4f2e4b53950d32e0b66d0efc166d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb49d6552ad0e2afad8bfb3b91ca76cb2a21a282c2c8a20cc2c19036ac6ae17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-31T18:23:34Z",
    "title_canon_sha256": "265f2c59b700dc4361545b52dd54f38c051c9277209eb3a5f19fdf7a2a20d4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10590",
    "kind": "arxiv",
    "version": 2
  }
}