Pith Number

pith:L6NR2VVT

pith:2012:L6NR2VVTN6RXKZX5SFGBTZYZ7H

not attested not anchored not stored refs pending

The average of $L^4$-norms of holomorphic cusp forms

Rizwanur Khan

arxiv:1210.0740 v3 · 2012-10-02 · 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{L6NR2VVTN6RXKZX5SFGBTZYZ7H}

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	2026-05-18T03:26:20.596704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f9b1d56b36fa37566fd914c19e719f9d2e906768dced8fe6c3e8864fb96af56

Aliases

arxiv: 1210.0740 · arxiv_version: 1210.0740v3 · doi: 10.48550/arxiv.1210.0740 · pith_short_12: L6NR2VVTN6RX · pith_short_16: L6NR2VVTN6RXKZX5 · pith_short_8: L6NR2VVT

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/L6NR2VVTN6RXKZX5SFGBTZYZ7H \
  | 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: 5f9b1d56b36fa37566fd914c19e719f9d2e906768dced8fe6c3e8864fb96af56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ca01f83f82ef3b8036f221044a9f8d8ed0b3081be3cd63163f21d8488f2f20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-02T12:09:34Z",
    "title_canon_sha256": "9849aa63378ab26b0d1a88fe442ae299648dd7739bd23cc7d76849fdf93b1662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0740",
    "kind": "arxiv",
    "version": 3
  }
}