Pith Number

pith:4UTAWDPH

pith:2013:4UTAWDPHLPEIEUDW34EA6M2XNA

not attested not anchored not stored refs pending

The images of non-commutative polynomials evaluated on $2\times 2$ matrices over an arbitrary field

Sergey Malev

arxiv:1310.8563 v4 · 2013-10-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UTAWDPHLPEIEUDW34EA6M2XNA}

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	2026-05-18T03:04:36.767489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5260b0de75bc8825076df080f33576836907e5fdac532542301dae7d502689d

Aliases

arxiv: 1310.8563 · arxiv_version: 1310.8563v4 · doi: 10.48550/arxiv.1310.8563 · pith_short_12: 4UTAWDPHLPEI · pith_short_16: 4UTAWDPHLPEIEUDW · pith_short_8: 4UTAWDPH

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/4UTAWDPHLPEIEUDW34EA6M2XNA \
  | 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: e5260b0de75bc8825076df080f33576836907e5fdac532542301dae7d502689d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce93c45b2a0e3703517e35d0944e89267894ff6eac7267585f66ec82906cbd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-31T15:55:45Z",
    "title_canon_sha256": "72d2df3d0d6e9114d0f8cb04603f5c91aea100206a4c1f6d89320019e70fd9ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8563",
    "kind": "arxiv",
    "version": 4
  }
}