pith. sign in
Pith Number

pith:TFMANSY7

pith:2015:TFMANSY7V6TGPTEPVIUSK6DIR2
not attested not anchored not stored refs pending

Invariants of a Free Linear Category and Representation Type

Claude Cibils, Eduardo N. Marcos

arxiv:1507.02842 v2 · 2015-07-10 · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TFMANSY7V6TGPTEPVIUSK6DIR2}

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 2026-05-18T00:13:48.599589Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

995806cb1fafa667cc8faa292578688ea33480b94d3c44c0ea48ee29b7c777ed

Aliases

arxiv: 1507.02842 · arxiv_version: 1507.02842v2 · doi: 10.48550/arxiv.1507.02842 · pith_short_12: TFMANSY7V6TG · pith_short_16: TFMANSY7V6TGPTEP · pith_short_8: TFMANSY7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TFMANSY7V6TGPTEPVIUSK6DIR2 \
  | 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: 995806cb1fafa667cc8faa292578688ea33480b94d3c44c0ea48ee29b7c777ed
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2402f4559c7dfa4c4fabae31bba15ef03f0774915b8659596089c859dba3960c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-10T10:48:12Z",
    "title_canon_sha256": "443b21c081e956309aac1a578c7eede32c3cc4d28ca390b05ae62af1d81c94fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02842",
    "kind": "arxiv",
    "version": 2
  }
}