Pith Number

pith:KZPL5QIL

pith:2013:KZPL5QILFQZ5ZEDUC5BSU43IHG

not attested not anchored not stored refs pending

$\sigma$-Biderivations and $\sigma$-commuting maps of triangular algebras

C\'andido Mart\'in Gonz\'alez, Joe Repka, Juana S\'anchez-Ortega

arxiv:1312.3980 v2 · 2013-12-13 · 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{KZPL5QILFQZ5ZEDUC5BSU43IHG}

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	2026-05-18T01:27:08.269662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565ebec10b2c33dc907417432a736839b0c47c246f2dc56eb83aa8906aace2fe

Aliases

arxiv: 1312.3980 · arxiv_version: 1312.3980v2 · doi: 10.48550/arxiv.1312.3980 · pith_short_12: KZPL5QILFQZ5 · pith_short_16: KZPL5QILFQZ5ZEDU · pith_short_8: KZPL5QIL

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/KZPL5QILFQZ5ZEDUC5BSU43IHG \
  | 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: 565ebec10b2c33dc907417432a736839b0c47c246f2dc56eb83aa8906aace2fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71b378b2fd83f02ab62d8ecf90d37b2ee69f25efd5dbe44076dc00d4534cf585",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-13T23:11:19Z",
    "title_canon_sha256": "1d7429c0b9aec395b495993ad865f4c0dc91accc382a05f9c853951e8438a5b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3980",
    "kind": "arxiv",
    "version": 2
  }
}