Pith Number

pith:QTLNFENY

pith:2021:QTLNFENY3T5EMKYFUPZY6BPXEY

not attested not anchored not stored refs pending

The cotorsion pair generated by the Gorenstein projective modules and $\lambda$-pure-injective modules

Jan \v{S}aroch, Manuel Cort\'es-Izurdiaga

arxiv:2104.08602 v2 · 2021-04-17 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTLNFENY3T5EMKYFUPZY6BPXEY}

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.

Cited by

1 paper in Pith

Comparing $\mathrm{Add}(M)$ with $\mathrm{Prod}(M)$

Receipt and verification

First computed	2026-07-05T07:19:15.518649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d6d291b8dcfa462b05a3f38f05f72638121035ba4bb0c93af9c17b9392b0b6

Aliases

arxiv: 2104.08602 · arxiv_version: 2104.08602v2 · doi: 10.48550/arxiv.2104.08602 · pith_short_12: QTLNFENY3T5E · pith_short_16: QTLNFENY3T5EMKYF · pith_short_8: QTLNFENY

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/QTLNFENY3T5EMKYFUPZY6BPXEY \
  | 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: 84d6d291b8dcfa462b05a3f38f05f72638121035ba4bb0c93af9c17b9392b0b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb1cd2546a082b5cf7c73616fb75715353eed80ded4f7de6bdec3f33b938830",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-04-17T17:53:54Z",
    "title_canon_sha256": "3cfb905419e1a4416a111bcc6b99fd4a7dafb919e95b78a1a8a6e708ea54bd52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08602",
    "kind": "arxiv",
    "version": 2
  }
}