Pith Number

pith:4IUDYB56

pith:2009:4IUDYB56VMW3MHG2XX6TKH6VL7

not attested not anchored not stored refs pending

Automorphisms of the endomorphism semigroup of a free commutative algebra

A. Belov-Kanel, R. Lipyanski

arxiv:0903.4839 v1 · 2009-03-27 · 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{4IUDYB56VMW3MHG2XX6TKH6VL7}

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	2026-05-18T00:29:06.183915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2283c07beab2db61cdabdfd351fd55ff7cda6334c06422c95066a3d79a633e7

Aliases

arxiv: 0903.4839 · arxiv_version: 0903.4839v1 · doi: 10.48550/arxiv.0903.4839 · pith_short_12: 4IUDYB56VMW3 · pith_short_16: 4IUDYB56VMW3MHG2 · pith_short_8: 4IUDYB56

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/4IUDYB56VMW3MHG2XX6TKH6VL7 \
  | 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: e2283c07beab2db61cdabdfd351fd55ff7cda6334c06422c95066a3d79a633e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09847746a9f73ca579ce487129da67bb3eec1b266562c0acefa4c08d04bf03c7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-03-27T16:16:02Z",
    "title_canon_sha256": "80b94635a12ffbcd607b06e301de1e11554a4e7378b3724c80095672905eff22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4839",
    "kind": "arxiv",
    "version": 1
  }
}