Pith Number

pith:VTV4WZ73

pith:2015:VTV4WZ73Q7QN3LPSTSEACQPRCO

not attested not anchored not stored refs pending

Representations of Frobenius-type triangular matrix algebras

Chang Ye, Fang Li

arxiv:1511.08040 v3 · 2015-11-25 · math.RA · 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{VTV4WZ73Q7QN3LPSTSEACQPRCO}

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	2026-05-18T01:19:39.269763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acebcb67fb87e0ddadf29c880141f113abb555e7f1d6ffc9fe566234d8960e9b

Aliases

arxiv: 1511.08040 · arxiv_version: 1511.08040v3 · doi: 10.48550/arxiv.1511.08040 · pith_short_12: VTV4WZ73Q7QN · pith_short_16: VTV4WZ73Q7QN3LPS · pith_short_8: VTV4WZ73

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/VTV4WZ73Q7QN3LPSTSEACQPRCO \
  | 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: acebcb67fb87e0ddadf29c880141f113abb555e7f1d6ffc9fe566234d8960e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe82763671f602ea7a8ed136974dfe3af9c7d3410d74f1a82466e43df0e3f85",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-25T12:51:53Z",
    "title_canon_sha256": "48b8963da458f06c1d9b72561ef58fdafa957684c48924073285d6560460ecff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08040",
    "kind": "arxiv",
    "version": 3
  }
}