Pith Number

pith:CZSXEZEC

pith:2026:CZSXEZECKL4X4F5N3UG5LEKVNK

not attested not anchored not stored refs pending

Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras

Finn Bauwens, Jan Thomm, Marvin Plogmann, Norihiro Hanihara, Ren\'e Marczinzik

arxiv:2606.10901 v1 · 2026-06-09 · 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{CZSXEZECKL4X4F5N3UG5LEKVNK}

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	2026-06-10T01:10:46.995266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166572648252f97e17addd0dd591556aba37378730de5c4949ada7daf40a1a7c

Aliases

arxiv: 2606.10901 · arxiv_version: 2606.10901v1 · doi: 10.48550/arxiv.2606.10901 · pith_short_12: CZSXEZECKL4X · pith_short_16: CZSXEZECKL4X4F5N · pith_short_8: CZSXEZEC

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/CZSXEZECKL4X4F5N3UG5LEKVNK \
  | 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: 166572648252f97e17addd0dd591556aba37378730de5c4949ada7daf40a1a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af533f1588197b7cac74138093a61a31ec50137a1565bda8d0d63d17bdbd9fec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-09T14:12:58Z",
    "title_canon_sha256": "f778ace14128faaa1eb7f11b99bbb698f05d6516f175891345a061d713ac5510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10901",
    "kind": "arxiv",
    "version": 1
  }
}