Pith Number

pith:HJNSIQNB

pith:2025:HJNSIQNBT2J34CUBHKLG2NLUTB

not attested not anchored not stored refs pending

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms

Michael A. Daas

arxiv:2506.08865 v1 · 2025-06-10 · 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{HJNSIQNBT2J34CUBHKLG2NLUTB}

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	2026-07-05T11:19:14.394210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5b2441a19e93be0a813a966d3574986f7dc411c3b41e1c24c2dfc8c2d613e2

Aliases

arxiv: 2506.08865 · arxiv_version: 2506.08865v1 · doi: 10.48550/arxiv.2506.08865 · pith_short_12: HJNSIQNBT2J3 · pith_short_16: HJNSIQNBT2J34CUB · pith_short_8: HJNSIQNB

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/HJNSIQNBT2J34CUBHKLG2NLUTB \
  | 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: 3a5b2441a19e93be0a813a966d3574986f7dc411c3b41e1c24c2dfc8c2d613e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a7d088d63adc613502baa9a7c0cf17427439869de4af72ee468612ec69d290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-10T14:56:11Z",
    "title_canon_sha256": "59fc88b1cc37adca4e219f20cd233ac38fd4d3c17b4e401ee43925017ec991dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08865",
    "kind": "arxiv",
    "version": 1
  }
}