Pith Number

pith:IRYQ2XGQ

pith:2015:IRYQ2XGQ3IZXLT2VR6BICTPOE7

not attested not anchored not stored refs pending

Two properties of endomorphisms of Weyl algebras

Jesper Funch Thomsen, Niels Lauritzen

arxiv:1508.02499 v1 · 2015-08-11 · math.RA · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRYQ2XGQ3IZXLT2VR6BICTPOE7}

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	2026-05-18T01:35:29.020330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44710d5cd0da3375cf558f82814dee27db1e548f44546f56b96cfeb587e93619

Aliases

arxiv: 1508.02499 · arxiv_version: 1508.02499v1 · doi: 10.48550/arxiv.1508.02499 · pith_short_12: IRYQ2XGQ3IZX · pith_short_16: IRYQ2XGQ3IZXLT2V · pith_short_8: IRYQ2XGQ

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/IRYQ2XGQ3IZXLT2VR6BICTPOE7 \
  | 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: 44710d5cd0da3375cf558f82814dee27db1e548f44546f56b96cfeb587e93619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4715b1b9f01fb77fe82942d7c74e8b14b5f4793e6cb942ddc492b61b56aaaff",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-08-11T07:20:38Z",
    "title_canon_sha256": "9a2bdcfe60ec8bed34af54f46a1ded168407fd6a7ddb091b3e56736115ead474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02499",
    "kind": "arxiv",
    "version": 1
  }
}