Pith Number

pith:QTMUEAWN

pith:2026:QTMUEAWN7D46AGITJZH4NMGGIY

not attested not anchored not stored refs pending

GIM and Elliptic Lie algebras via Ringel--Hall Lie algebras

Changjian Fu, Ming Lu, Zhanhong Liang

arxiv:2608.07877 v1 · 2026-08-08 · math.RT · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTMUEAWN7D46AGITJZH4NMGGIY}

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	2026-08-11T01:18:48.866486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d94202cdf8f9e019134e4fc6b0c6463461e862de4460d5ee525b4a638f6d41

Aliases

arxiv: 2608.07877 · arxiv_version: 2608.07877v1 · doi: 10.48550/arxiv.2608.07877 · pith_short_12: QTMUEAWN7D46 · pith_short_16: QTMUEAWN7D46AGIT · pith_short_8: QTMUEAWN

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/QTMUEAWN7D46AGITJZH4NMGGIY \
  | 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: 84d94202cdf8f9e019134e4fc6b0c6463461e862de4460d5ee525b4a638f6d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8b5a615b5767efe3eadd8653984e573fea08df5a6e5ca8179cd5f6648205f1",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-08-08T03:06:43Z",
    "title_canon_sha256": "a30986cf282ca242ed131c720d03a0bd6a6cc8d43ad12b26e845261f984e7a9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07877",
    "kind": "arxiv",
    "version": 1
  }
}