Pith Number

pith:LWOOOEWA

pith:2013:LWOOOEWAZ5T45TUFMK2KI6DTF6

not attested not anchored not stored refs pending

Dimensions of Imaginary Root Spaces of Hyperbolic Kac--Moody Algebras

Kyu-Hwan Lee, Lisa Carbone, Walter Freyn

arxiv:1305.3318 v2 · 2013-05-14 · math.RT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWOOOEWAZ5T45TUFMK2KI6DTF6}

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	2026-05-18T03:19:34.586651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d9ce712c0cf67cece8562b4a478732fae5eb9195165751d4b9dfdbe9b7951fc

Aliases

arxiv: 1305.3318 · arxiv_version: 1305.3318v2 · doi: 10.48550/arxiv.1305.3318 · pith_short_12: LWOOOEWAZ5T4 · pith_short_16: LWOOOEWAZ5T45TUF · pith_short_8: LWOOOEWA

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/LWOOOEWAZ5T45TUFMK2KI6DTF6 \
  | 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: 5d9ce712c0cf67cece8562b4a478732fae5eb9195165751d4b9dfdbe9b7951fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e23c92b4482ab95b8cf860d8551729cd9dadfbbfc7ddc50c3550197fbacf6b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-14T22:43:28Z",
    "title_canon_sha256": "392aa1e74266259233167b7806c08d5f2a745952f043303794b1ef89d3c50736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3318",
    "kind": "arxiv",
    "version": 2
  }
}