Pith Number

pith:EFBUP5AK

pith:2010:EFBUP5AKMFG34SPTWEGZMLGTRI

not attested not anchored not stored refs pending

A modularity criterion for Klein forms, with an application to modular forms of level $13$

Dong Hwa Shin, Ick Sun Eum, Ja Kyung Koo

arxiv:1006.1469 v3 · 2010-06-08 · 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{EFBUP5AKMFG34SPTWEGZMLGTRI}

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	2026-05-18T04:42:43.184303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214347f40a614dbe49f3b10d962cd38a181763e3a2948280362bad2941ac858a

Aliases

arxiv: 1006.1469 · arxiv_version: 1006.1469v3 · doi: 10.48550/arxiv.1006.1469 · pith_short_12: EFBUP5AKMFG3 · pith_short_16: EFBUP5AKMFG34SPT · pith_short_8: EFBUP5AK

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/EFBUP5AKMFG34SPTWEGZMLGTRI \
  | 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: 214347f40a614dbe49f3b10d962cd38a181763e3a2948280362bad2941ac858a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc118705cf553686069499ff67e55364e1c8b59edf59e8da2de1ebfd098dbef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-08T07:35:21Z",
    "title_canon_sha256": "8fa8dedd30665ad96aa2f8732056d3b2816cf2635297019657f62a8ec192f03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1469",
    "kind": "arxiv",
    "version": 3
  }
}