Pith Number

pith:BFZHCBKC

pith:2010:BFZHCBKCF3ZJHI3BA3OFFEPN6Z

not attested not anchored not stored refs pending

Alternative twisted tensor products and Cayley algebras

Florin Panaite, Helena Albuquerque

arxiv:1011.1820 v1 · 2010-11-08 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFZHCBKCF3ZJHI3BA3OFFEPN6Z}

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	2026-05-18T04:36:49.791851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09727105422ef293a36106dc5291edf65cf77f24ee1e7af077039afd89cfe716

Aliases

arxiv: 1011.1820 · arxiv_version: 1011.1820v1 · doi: 10.48550/arxiv.1011.1820 · pith_short_12: BFZHCBKCF3ZJ · pith_short_16: BFZHCBKCF3ZJHI3B · pith_short_8: BFZHCBKC

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/BFZHCBKCF3ZJHI3BA3OFFEPN6Z \
  | 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: 09727105422ef293a36106dc5291edf65cf77f24ee1e7af077039afd89cfe716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19edf27e841879cde83f058f1b96318f9a6158fca401329d106c1eb46548413d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-11-08T15:11:07Z",
    "title_canon_sha256": "9eeffe98719bd674e74a2ffdfb1b3700dd9ea0034a3ba3a182ac19874560fbf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1820",
    "kind": "arxiv",
    "version": 1
  }
}