Pith Number

pith:JJGC3L2T

pith:2008:JJGC3L2T576AUGVCGRCSKQ6ZSN

not attested not anchored not stored refs pending

A Littelmann path model for crystals of Generalized Kac-Moody algebras revisited

Anthony Joseph, Polyxeni Lamprou

arxiv:0804.1485 v3 · 2008-04-09 · 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{JJGC3L2T576AUGVCGRCSKQ6ZSN}

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	2026-05-18T02:45:49.954802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4c2daf53effc0a1aa234452543d9935075b5e7946645c9c498441634cfe292

Aliases

arxiv: 0804.1485 · arxiv_version: 0804.1485v3 · doi: 10.48550/arxiv.0804.1485 · pith_short_12: JJGC3L2T576A · pith_short_16: JJGC3L2T576AUGVC · pith_short_8: JJGC3L2T

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/JJGC3L2T576AUGVCGRCSKQ6ZSN \
  | 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: 4a4c2daf53effc0a1aa234452543d9935075b5e7946645c9c498441634cfe292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164e0836986a66f74e61cdf3a5add38113b3727593f04250eee35a4e3210d35c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-04-09T13:45:17Z",
    "title_canon_sha256": "971218bb0c8727d371b4081281347f8538f3cea33e915680e9a4998d1d0a9f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1485",
    "kind": "arxiv",
    "version": 3
  }
}