Pith Number

pith:SCPM4ELK

pith:2018:SCPM4ELKWVJK2UUDRJW3SCZYJX

not attested not anchored not stored refs pending

Dirac operator on a noncommutative Toeplitz torus

Elmar Wagner, Fredy D\'iaz Garc\'ia

arxiv:1802.06124 v1 · 2018-02-16 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCPM4ELKWVJK2UUDRJW3SCZYJX}

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	2026-05-18T00:23:04.384111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

909ece116ab552ad52838a6db90b384dd5c977b1cad845933c67d6ac33be0f91

Aliases

arxiv: 1802.06124 · arxiv_version: 1802.06124v1 · doi: 10.48550/arxiv.1802.06124 · pith_short_12: SCPM4ELKWVJK · pith_short_16: SCPM4ELKWVJK2UUD · pith_short_8: SCPM4ELK

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/SCPM4ELKWVJK2UUDRJW3SCZYJX \
  | 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: 909ece116ab552ad52838a6db90b384dd5c977b1cad845933c67d6ac33be0f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2920dc1a92d0e0a9533c9c2a6fd0557b1f4058879101eca5b2c3b66eb9f22068",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-02-16T21:15:26Z",
    "title_canon_sha256": "12cbda1cfe8d44c76cd899f4936c7b4d5aebd5a4cf32b4bd1247de6b36a6f050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06124",
    "kind": "arxiv",
    "version": 1
  }
}