Pith Number

pith:BGMYK5XO

pith:2011:BGMYK5XOBUYEJNQIPKYZVHTTEG

not attested not anchored not stored refs pending

Special biserial algebras with no outer derivations

Ibrahim Assem, Juan Carlos Bustamante, Patrick Le Meur

arxiv:1107.5099 v1 · 2011-07-26 · 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{BGMYK5XOBUYEJNQIPKYZVHTTEG}

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	2026-05-18T01:15:15.681011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09998576ee0d3044b6087ab19a9e7321a3d85af326b7217667cf0ac91f344675

Aliases

arxiv: 1107.5099 · arxiv_version: 1107.5099v1 · doi: 10.48550/arxiv.1107.5099 · pith_short_12: BGMYK5XOBUYE · pith_short_16: BGMYK5XOBUYEJNQI · pith_short_8: BGMYK5XO

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/BGMYK5XOBUYEJNQIPKYZVHTTEG \
  | 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: 09998576ee0d3044b6087ab19a9e7321a3d85af326b7217667cf0ac91f344675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0efc57aadf629c3f60b68c9473d9c7f56733adab4d62952a97ff4cd875f72da7",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-26T01:18:44Z",
    "title_canon_sha256": "c23c64fb095fd9d763b74bdc7f565665c0a75229a0c9f3111910cd30382a1a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5099",
    "kind": "arxiv",
    "version": 1
  }
}