Pith Number

pith:UKDTAYCH

pith:2013:UKDTAYCHSAMP737QJRMP4R3HFW

not attested not anchored not stored refs pending

Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras

Henry H. Kim, Kyu-Hwan Lee, Yichao Zhang

arxiv:1309.5095 v1 · 2013-09-19 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKDTAYCHSAMP737QJRMP4R3HFW}

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	2026-05-18T03:12:47.770997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2873060479018ffeff04c58fe47672db74bca587cffea87dffc34d9a124c4a6

Aliases

arxiv: 1309.5095 · arxiv_version: 1309.5095v1 · doi: 10.48550/arxiv.1309.5095 · pith_short_12: UKDTAYCHSAMP · pith_short_16: UKDTAYCHSAMP737Q · pith_short_8: UKDTAYCH

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/UKDTAYCHSAMP737QJRMP4R3HFW \
  | 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: a2873060479018ffeff04c58fe47672db74bca587cffea87dffc34d9a124c4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca5fb8115d4129684ef2125cc7e51ace9c3648bcd6c6de97f7660d0632da83e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-19T20:20:06Z",
    "title_canon_sha256": "589a17630e9ed85f7732386cec8e3bef6dbe41f5e58eb4083447623c52897154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5095",
    "kind": "arxiv",
    "version": 1
  }
}