Pith Number

pith:MOLT46Z4

pith:2005:MOLT46Z4ZVZ6SQR4RQQX3QW4MR

not attested not anchored not stored refs pending

Automorphisms of the semigroup of endomorphisms of free associative algebras

A. Berzins, A. Kanel-Belov, R. Lipyanski

arxiv:math/0512273 v3 · 2005-12-13 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOLT46Z4ZVZ6SQR4RQQX3QW4MR}

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	2026-05-18T00:29:02.180718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63973e7b3ccd73e9423c8c217dc2dc64450c28f0a123349bec6a9e3fb1a371a2

Aliases

arxiv: math/0512273 · arxiv_version: math/0512273v3 · doi: 10.48550/arxiv.math/0512273 · pith_short_12: MOLT46Z4ZVZ6 · pith_short_16: MOLT46Z4ZVZ6SQR4 · pith_short_8: MOLT46Z4

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/MOLT46Z4ZVZ6SQR4RQQX3QW4MR \
  | 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: 63973e7b3ccd73e9423c8c217dc2dc64450c28f0a123349bec6a9e3fb1a371a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a82679cfaff483333ccc9078d2bf36528382e7cc40ff7b2700a07a54a5fa02",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-12-13T14:26:16Z",
    "title_canon_sha256": "63e895d03420ea8e74d38822ad0b45f96d1b6a288be5dc90057863adb4abad9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512273",
    "kind": "arxiv",
    "version": 3
  }
}