Pith Number

pith:GMYKGEQC

pith:2024:GMYKGEQCNSECT33DGJRXSOLAND

not attested not anchored not stored refs pending

Ramanujan type congruences for quotients of Klein forms

Dongxi Ye, Jeffery Opoku, Nathaniel Mayes, Timothy Huber

arxiv:2403.15967 v1 · 2024-03-24 · 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{GMYKGEQCNSECT33DGJRXSOLAND}

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	2026-07-05T08:00:09.032541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3330a312026c8829ef63326379396068e7e8ab8fff51a35eff15c84915524089

Aliases

arxiv: 2403.15967 · arxiv_version: 2403.15967v1 · doi: 10.48550/arxiv.2403.15967 · pith_short_12: GMYKGEQCNSEC · pith_short_16: GMYKGEQCNSECT33D · pith_short_8: GMYKGEQC

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/GMYKGEQCNSECT33DGJRXSOLAND \
  | 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: 3330a312026c8829ef63326379396068e7e8ab8fff51a35eff15c84915524089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542373d308f4655aa2768350e4a0576c78b4b82505cad0b9e6c77a1e421a6161",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-24T00:08:28Z",
    "title_canon_sha256": "eeda5d303b8921618758484e0917b0e235bd5874a5f565179aca1a7f1607485c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15967",
    "kind": "arxiv",
    "version": 1
  }
}