Pith Number

pith:5DX4SW56

pith:2015:5DX4SW56OISAQWQHG3LIBHSMVG

not attested not anchored not stored refs pending

Factorizations of Elements in Noncommutative Rings: A Survey

Daniel Smertnig

arxiv:1507.07487 v2 · 2015-07-27 · 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{5DX4SW56OISAQWQHG3LIBHSMVG}

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	2026-05-18T00:42:35.427022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8efc95bbe7224085a0736d6809e4ca9a42f9a904c784495b7f87d822d1ad37f

Aliases

arxiv: 1507.07487 · arxiv_version: 1507.07487v2 · doi: 10.48550/arxiv.1507.07487 · pith_short_12: 5DX4SW56OISA · pith_short_16: 5DX4SW56OISAQWQH · pith_short_8: 5DX4SW56

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/5DX4SW56OISAQWQHG3LIBHSMVG \
  | 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: e8efc95bbe7224085a0736d6809e4ca9a42f9a904c784495b7f87d822d1ad37f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40eb1f05c7d78a190c2bfe94d577a24b5425aaf1d1694cb8fde29d96b4844e85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-07-27T17:16:33Z",
    "title_canon_sha256": "b2ed800884f1c2f333e671af56b056d319e63c430a73b9c8164e0db3a923ee4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07487",
    "kind": "arxiv",
    "version": 2
  }
}