Pith Number

pith:TRJ2T5QR

pith:2018:TRJ2T5QRQXYK6JU6BR4FZNOW6S

not attested not anchored not stored refs pending

The two-dimensional Centralizer Conjecture

Vered Moskowicz

arxiv:1802.04685 v2 · 2018-02-12 · 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{TRJ2T5QRQXYK6JU6BR4FZNOW6S}

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	2026-05-18T00:22:54.437923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c53a9f61185f0af269e0c785cb5d6f4b8d87ed2a6961a28671cfa79902dd65a

Aliases

arxiv: 1802.04685 · arxiv_version: 1802.04685v2 · doi: 10.48550/arxiv.1802.04685 · pith_short_12: TRJ2T5QRQXYK · pith_short_16: TRJ2T5QRQXYK6JU6 · pith_short_8: TRJ2T5QR

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/TRJ2T5QRQXYK6JU6BR4FZNOW6S \
  | 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: 9c53a9f61185f0af269e0c785cb5d6f4b8d87ed2a6961a28671cfa79902dd65a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd214caafa174efc4d082921c7d38acc7067a64a41133230b064519d0914f928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-12T18:58:44Z",
    "title_canon_sha256": "5b6c30ec2ee822bf69449a2909f24754b403a1469bed393cc8fe5f9148d614eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04685",
    "kind": "arxiv",
    "version": 2
  }
}