Pith Number

pith:CILQEXCJ

pith:2010:CILQEXCJW6NAZZQV7AGIOQDSRA

not attested not anchored not stored refs pending

A note on the invariance in the nonabelian tensor product

Francesco G. Russo (Universita' degli Studi di Palermo, Italy), Palermo

arxiv:1007.1323 v4 · 2010-07-08 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CILQEXCJW6NAZZQV7AGIOQDSRA}

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	2026-05-18T02:56:42.659870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1217025c49b79a0ce615f80c874072881a151a3dd1a68538b4802477ec1468a0

Aliases

arxiv: 1007.1323 · arxiv_version: 1007.1323v4 · doi: 10.48550/arxiv.1007.1323 · pith_short_12: CILQEXCJW6NA · pith_short_16: CILQEXCJW6NAZZQV · pith_short_8: CILQEXCJ

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/CILQEXCJW6NAZZQV7AGIOQDSRA \
  | 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: 1217025c49b79a0ce615f80c874072881a151a3dd1a68538b4802477ec1468a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad04d7b82878ad100531723ce534f5edd27cc51c4c05cba2120dae2e47ab5e13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-07-08T09:39:02Z",
    "title_canon_sha256": "5c7e7b0d913e633da6838b7c5b6ec8bd4a7a122b956e2e09b7dbb9f395b89921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1323",
    "kind": "arxiv",
    "version": 4
  }
}