Pith Number

pith:WOOQGHIN

pith:2015:WOOQGHINFV4DEDC4YR3TC53OTC

not attested not anchored not stored refs pending

Generators of the ring of weakly holomorphic modular functions for $\Gamma_1(N)$

Dong Sung Yoon, Ja Kyung Koo

arxiv:1504.07364 v1 · 2015-04-28 · 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{WOOQGHINFV4DEDC4YR3TC53OTC}

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	2026-05-18T00:24:40.136811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b39d031d0d2d78320c5cc47731776e988bb00e09fa5b32673a515cf7cc89afef

Aliases

arxiv: 1504.07364 · arxiv_version: 1504.07364v1 · doi: 10.48550/arxiv.1504.07364 · pith_short_12: WOOQGHINFV4D · pith_short_16: WOOQGHINFV4DEDC4 · pith_short_8: WOOQGHIN

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/WOOQGHINFV4DEDC4YR3TC53OTC \
  | 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: b39d031d0d2d78320c5cc47731776e988bb00e09fa5b32673a515cf7cc89afef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30fa2b6aa510f652109da01ac516c4148d5a28d940d3440d0b382af8a4c57b39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-28T07:14:00Z",
    "title_canon_sha256": "7ed867ce32b05821d95caa0e17e951ff38fd15cb7727da5fc50463c82127d097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07364",
    "kind": "arxiv",
    "version": 1
  }
}