Pith Number

pith:CRYYQA7T

pith:2008:CRYYQA7TK5D5NNC2XRJ4ELMBWZ

not attested not anchored not stored refs pending

Regular Kac-Moody superalgebras and integrable highest weight modules

Crystal Hoyt

arxiv:0810.2650 v4 · 2008-10-15 · 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{CRYYQA7TK5D5NNC2XRJ4ELMBWZ}

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	2026-05-18T04:36:59.557852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14718803f35747d6b45abc53c22d81b64c7c79412ded8d74e29ea6b2cf1bafd4

Aliases

arxiv: 0810.2650 · arxiv_version: 0810.2650v4 · doi: 10.48550/arxiv.0810.2650 · pith_short_12: CRYYQA7TK5D5 · pith_short_16: CRYYQA7TK5D5NNC2 · pith_short_8: CRYYQA7T

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/CRYYQA7TK5D5NNC2XRJ4ELMBWZ \
  | 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: 14718803f35747d6b45abc53c22d81b64c7c79412ded8d74e29ea6b2cf1bafd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fec3fb6a1c67aea69c94a08fa100ee0687854dfc20d5d4c3972a7a318089beb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-10-15T10:14:30Z",
    "title_canon_sha256": "34b65a9c2e996684d27112d09984b9ac903fb2b3176ba7a2f5fdc61f98a35e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2650",
    "kind": "arxiv",
    "version": 4
  }
}