Pith Number

pith:RDIE2ZZL

pith:2012:RDIE2ZZL7HAYJASN4ZUSWSIQMT

not attested not anchored not stored refs pending

Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms

Henry H. Kim, Kyu-Hwan Lee

arxiv:1209.1860 v1 · 2012-09-10 · math.RT · 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{RDIE2ZZL7HAYJASN4ZUSWSIQMT}

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	2026-05-18T03:45:54.164127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88d04d672bf9c184824de6692b491064d6027bb5579cad6084b90dd43518e33b

Aliases

arxiv: 1209.1860 · arxiv_version: 1209.1860v1 · doi: 10.48550/arxiv.1209.1860 · pith_short_12: RDIE2ZZL7HAY · pith_short_16: RDIE2ZZL7HAYJASN · pith_short_8: RDIE2ZZL

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/RDIE2ZZL7HAYJASN4ZUSWSIQMT \
  | 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: 88d04d672bf9c184824de6692b491064d6027bb5579cad6084b90dd43518e33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc549e1fa167e471654f03bf54b03eb1ad6a0cb5f68d6f713958c5c624b42c02",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-10T00:39:32Z",
    "title_canon_sha256": "4fb015b92fb22e5555c53fbfd38a9dea4efaf1aa94aa85c2faf5b30659fc0713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1860",
    "kind": "arxiv",
    "version": 1
  }
}