Pith Number

pith:OIYJBGMO

pith:2024:OIYJBGMOG34UMCM6YRLKDOZ7EF

not attested not anchored not stored refs pending

Reflexive modules and Auslander-type conditions

Norihiro Hanihara

arxiv:2412.19625 v1 · 2024-12-27 · math.RT · math.AC · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIYJBGMOG34UMCM6YRLKDOZ7EF}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:54:38.860076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723090998e36f946099ec456a1bb3f215ba9029839a7155ee58e33d3f520ed67

Aliases

arxiv: 2412.19625 · arxiv_version: 2412.19625v1 · doi: 10.48550/arxiv.2412.19625 · pith_short_12: OIYJBGMOG34U · pith_short_16: OIYJBGMOG34UMCM6 · pith_short_8: OIYJBGMO

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/OIYJBGMOG34UMCM6YRLKDOZ7EF \
  | 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: 723090998e36f946099ec456a1bb3f215ba9029839a7155ee58e33d3f520ed67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f84bbd200500713f637436ed9bd78c1d0aca22b99b161e12b6626537642e1e92",
    "cross_cats_sorted": [
      "math.AC",
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-27T13:02:12Z",
    "title_canon_sha256": "870fbb53c4ca8432d8326c3318e1951ce5e51fb3160d002faa9625e4f642d670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19625",
    "kind": "arxiv",
    "version": 1
  }
}