Pith Number

pith:EU3SKCWQ

pith:2011:EU3SKCWQTTLOVCM72MD2M3EYAA

not attested not anchored not stored refs pending

Tensor products of Leavitt path algebras

Guillermo Corti\~nas, Pere Ara

arxiv:1108.0352 v3 · 2011-08-01 · math.RA · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU3SKCWQTTLOVCM72MD2M3EYAA}

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	2026-05-18T03:05:28.677350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2537250ad09cd6ea899fd307a66c980038a2a024d6bb1dd9e0734da4ffd4266b

Aliases

arxiv: 1108.0352 · arxiv_version: 1108.0352v3 · doi: 10.48550/arxiv.1108.0352 · pith_short_12: EU3SKCWQTTLO · pith_short_16: EU3SKCWQTTLOVCM7 · pith_short_8: EU3SKCWQ

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/EU3SKCWQTTLOVCM72MD2M3EYAA \
  | 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: 2537250ad09cd6ea899fd307a66c980038a2a024d6bb1dd9e0734da4ffd4266b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0c1fe2d4d386e35718bd00aadc632b3124a9571f8592649a0fb315a605be2e",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-08-01T16:16:46Z",
    "title_canon_sha256": "32f57cba68cdb5423d607473780ee83b3f680ddc0168f828133c0a06e6a3b48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0352",
    "kind": "arxiv",
    "version": 3
  }
}