Pith Number

pith:3CJ4CC6K

pith:2018:3CJ4CC6KVQKHU6SUNHGTFNZ6BW

not attested not anchored not stored refs pending

On the parity of the Fourier coefficients of hauptmoduln $j_{N}(z)$ and $j_{N}^{+}(z)$

Moni Kumari, Sujeet Kumar Singh

arxiv:1804.07749 v1 · 2018-04-20 · 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{3CJ4CC6KVQKHU6SUNHGTFNZ6BW}

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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	2026-05-18T00:17:55.935774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d893c10bcaac147a7a5469cd32b73e0db9bf595e210a38a7428e4f694990ae09

Aliases

arxiv: 1804.07749 · arxiv_version: 1804.07749v1 · doi: 10.48550/arxiv.1804.07749 · pith_short_12: 3CJ4CC6KVQKH · pith_short_16: 3CJ4CC6KVQKHU6SU · pith_short_8: 3CJ4CC6K

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/3CJ4CC6KVQKHU6SUNHGTFNZ6BW \
  | 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: d893c10bcaac147a7a5469cd32b73e0db9bf595e210a38a7428e4f694990ae09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b060c6e647077ae14f92dc7fc2b2f222b79005e25ad53f184b9c9bea41483d75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-20T17:45:30Z",
    "title_canon_sha256": "112738a141e53c446dcd889b0931f8c2144f25d0684fdc744b9a124ce18d4be9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07749",
    "kind": "arxiv",
    "version": 1
  }
}