Pith Number

pith:6M2YIQFP

pith:2011:6M2YIQFPH2BI7NEU2CZGKRH7QM

not attested not anchored not stored refs pending

Extension algebras of standard modules

Liping Li

arxiv:1110.6502 v3 · 2011-10-29 · math.RT · 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{6M2YIQFPH2BI7NEU2CZGKRH7QM}

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	2026-05-18T03:07:55.071538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3358440af3e828fb494d0b26544ff831595a5d6ebcb133f7c46e039cbe92cd2

Aliases

arxiv: 1110.6502 · arxiv_version: 1110.6502v3 · doi: 10.48550/arxiv.1110.6502 · pith_short_12: 6M2YIQFPH2BI · pith_short_16: 6M2YIQFPH2BI7NEU · pith_short_8: 6M2YIQFP

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/6M2YIQFPH2BI7NEU2CZGKRH7QM \
  | 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: f3358440af3e828fb494d0b26544ff831595a5d6ebcb133f7c46e039cbe92cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e8ba1c141889371adf3b19fa4da2cc16d39a8643eb1bd9e7df36a93f73c065",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-29T05:42:42Z",
    "title_canon_sha256": "b3343845c61eba09e6fc7a3778b19089dc87a25eea70063adf1870a70013289e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6502",
    "kind": "arxiv",
    "version": 3
  }
}