Pith Number

pith:FUSPWZFP

pith:2019:FUSPWZFPC7ODNZNE7FK3RPAERD

not attested not anchored not stored refs pending

On modules $M$ with $\tau(M) \cong \nu \Omega^{d+2}(M)$ for isolated singularities of Krull dimension $d$

Rene Marczinzik

arxiv:1902.08169 v1 · 2019-02-21 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUSPWZFPC7ODNZNE7FK3RPAERD}

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	2026-05-17T23:53:01.915519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d24fb64af17dc36e5a4f955b8bc0488d58c7a60b24ebe4370a20f556924c618

Aliases

arxiv: 1902.08169 · arxiv_version: 1902.08169v1 · doi: 10.48550/arxiv.1902.08169 · pith_short_12: FUSPWZFPC7OD · pith_short_16: FUSPWZFPC7ODNZNE · pith_short_8: FUSPWZFP

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/FUSPWZFPC7ODNZNE7FK3RPAERD \
  | 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: 2d24fb64af17dc36e5a4f955b8bc0488d58c7a60b24ebe4370a20f556924c618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c103d308c4cb1043bb11519f7ad01cb7108b3b531c70395a24d15e9fb36594c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-02-21T18:15:28Z",
    "title_canon_sha256": "49064c3ab71aaa963b0573388a9f58ca29eb3e2f921f2586210606826034bd8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08169",
    "kind": "arxiv",
    "version": 1
  }
}