Pith Number

pith:FB5ZTYB4

pith:2011:FB5ZTYB4A4SWPQ22I4Z5MK3NJA

not attested not anchored not stored refs pending

Layer lengths, torsion theories and the finitistic dimension

Fran\c{c}ois Huard, Marcelo Lanzilotta, Octavio Mendoza

arxiv:1101.1933 v1 · 2011-01-10 · 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{FB5ZTYB4A4SWPQ22I4Z5MK3NJA}

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	2026-05-18T04:31:51.389560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287b99e03c072567c35a4733d62b6d482a49e6b8e3988e4739f40ef230673a28

Aliases

arxiv: 1101.1933 · arxiv_version: 1101.1933v1 · doi: 10.48550/arxiv.1101.1933 · pith_short_12: FB5ZTYB4A4SW · pith_short_16: FB5ZTYB4A4SWPQ22 · pith_short_8: FB5ZTYB4

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/FB5ZTYB4A4SWPQ22I4Z5MK3NJA \
  | 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: 287b99e03c072567c35a4733d62b6d482a49e6b8e3988e4739f40ef230673a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4338056fc8bc97f47d4d632b27549b2cad7e3ec94c59f670c19cb9aa82270fc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-10T19:35:41Z",
    "title_canon_sha256": "59dfe77317049f9a7b8d4601ca7e4416ec2911adef75ee1b9b3b4c6066b7231c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1933",
    "kind": "arxiv",
    "version": 1
  }
}