Pith Number

pith:2O4XK26L

pith:2025:2O4XK26LIQBCUQ476FQGPMNS4I

not attested not anchored not stored refs pending

An approach to Martsinkovsky's invariant via Auslander's approximation theory

Yuya Otake

arxiv:2504.09505 v1 · 2025-04-13 · math.AC · math.RA · 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{2O4XK26LIQBCUQ476FQGPMNS4I}

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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	2026-07-05T10:48:38.698340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b9756bcb44022a439ff16067b1b2e21ae84c53dbadcdacc742d55f3f875cb1

Aliases

arxiv: 2504.09505 · arxiv_version: 2504.09505v1 · doi: 10.48550/arxiv.2504.09505 · pith_short_12: 2O4XK26LIQBC · pith_short_16: 2O4XK26LIQBCUQ47 · pith_short_8: 2O4XK26L

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/2O4XK26LIQBCUQ476FQGPMNS4I \
  | 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: d3b9756bcb44022a439ff16067b1b2e21ae84c53dbadcdacc742d55f3f875cb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a34553baf154b406d3816ee42a62afd341a8b0732d6b00b38b664707c1027f5",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-04-13T10:10:05Z",
    "title_canon_sha256": "530c9dc3b75549148b78f00ef7df8f7a23a7df52b0e28cbaf77a598292857c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09505",
    "kind": "arxiv",
    "version": 1
  }
}