Pith Number

pith:4IABSGTX

pith:2012:4IABSGTXFSM4DGCGYNLEHDYMKA

not attested not anchored not stored refs pending

Eisenstein series on affine Kac-Moody groups over function fields

Kyu-Hwan Lee, Philip Lombardo

arxiv:1208.4006 v1 · 2012-08-20 · 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{4IABSGTXFSM4DGCGYNLEHDYMKA}

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	2026-05-18T03:48:25.497718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e200191a772c99c19846c356438f0c5010399badde10fbe84eb37cb259ba5f36

Aliases

arxiv: 1208.4006 · arxiv_version: 1208.4006v1 · doi: 10.48550/arxiv.1208.4006 · pith_short_12: 4IABSGTXFSM4 · pith_short_16: 4IABSGTXFSM4DGCG · pith_short_8: 4IABSGTX

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/4IABSGTXFSM4DGCGYNLEHDYMKA \
  | 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: e200191a772c99c19846c356438f0c5010399badde10fbe84eb37cb259ba5f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de15074bfdcb81818514b9b4e45cdbc3c083917acb1e941e30faf580f41bbdbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-20T13:47:40Z",
    "title_canon_sha256": "b9631c1e781137b248b1a110813b287e097f4cb9a5b19c28a996f82290125edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4006",
    "kind": "arxiv",
    "version": 1
  }
}