Pith Number

pith:W635NDCE

pith:2002:W635NDCEGMAT6N4DSXI76KLAF7

not attested not anchored not stored refs pending

Decoupling of Tensor factors in Cross Product and Braided Tensor Product Algebras

Gaetano Fiore

arxiv:math/0212320 v1 · 2002-12-23 · math.QA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W635NDCEGMAT6N4DSXI76KLAF7}

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	2026-05-18T03:44:34.367028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b7d68c4433013f378395d1ff29602fe6d9dc19995c241c0162943903e4489a

Aliases

arxiv: math/0212320 · arxiv_version: math/0212320v1 · doi: 10.48550/arxiv.math/0212320 · pith_short_12: W635NDCEGMAT · pith_short_16: W635NDCEGMAT6N4D · pith_short_8: W635NDCE

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/W635NDCEGMAT6N4DSXI76KLAF7 \
  | 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: b7b7d68c4433013f378395d1ff29602fe6d9dc19995c241c0162943903e4489a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5feaee0a2d5980743310106b7a585fb1d38239a60b8ca79db6f8b062eaadfe0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-12-23T14:21:13Z",
    "title_canon_sha256": "ff57c83e488096b1c125e5727c4f70a0e9a6c32d07946c7fd3c154125bf2d330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212320",
    "kind": "arxiv",
    "version": 1
  }
}