Pith Number

pith:K6WCP7ID

pith:2012:K6WCP7IDF7VJC3SWKHIJHBB6NJ

not attested not anchored not stored refs pending

On tensor products of path algebras of type A

J\"urgen M\"uller, Lutz Hille

arxiv:1206.1152 v1 · 2012-06-06 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6WCP7IDF7VJC3SWKHIJHBB6NJ}

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	2026-05-18T03:54:06.838687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57ac27fd032fea916e5651d093843e6a5c72ca2c083fba90ea9ba7395c79823f

Aliases

arxiv: 1206.1152 · arxiv_version: 1206.1152v1 · doi: 10.48550/arxiv.1206.1152 · pith_short_12: K6WCP7IDF7VJ · pith_short_16: K6WCP7IDF7VJC3SW · pith_short_8: K6WCP7ID

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/K6WCP7IDF7VJC3SWKHIJHBB6NJ \
  | 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: 57ac27fd032fea916e5651d093843e6a5c72ca2c083fba90ea9ba7395c79823f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b6ec251bf30afc1a020bfd8e646f134189a46381942c01e5c6df96f66143d6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-06-06T08:53:54Z",
    "title_canon_sha256": "1dd956368cb8064e488ef7e45e9ddb36be7fd21ccadbdacefcfdc329d3fa818f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1152",
    "kind": "arxiv",
    "version": 1
  }
}