Pith Number

pith:DSRVTMSE

pith:2016:DSRVTMSEEJQABYEYNXQG4DPPAS

not attested not anchored not stored refs pending

Contraadjusted modules, contramodules, and reduced cotorsion modules

Leonid Positselski

arxiv:1605.03934 v8 · 2016-05-12 · math.CT · math.AC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSRVTMSEEJQABYEYNXQG4DPPAS}

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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

4 papers in Pith

Torsion modules and differential operators in infinitely many variables

A relative version of Bass' theorem about finite-dimensional algebras

Homomorphisms of topological rings and change-of-scalar functors

Contraherent cosheaves of contramodules on Noetherian formal schemes

Receipt and verification

First computed	2026-07-05T00:29:17.638520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ca359b244226000e0986de06e0def0480d35be79b74344819c9747b63488ff7

Aliases

arxiv: 1605.03934 · arxiv_version: 1605.03934v8 · doi: 10.48550/arxiv.1605.03934 · pith_short_12: DSRVTMSEEJQA · pith_short_16: DSRVTMSEEJQABYEY · pith_short_8: DSRVTMSE

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/DSRVTMSEEJQABYEYNXQG4DPPAS \
  | 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: 1ca359b244226000e0986de06e0def0480d35be79b74344819c9747b63488ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617a2d6709ecd9dfab23092791e742081789a88cde6689e170b9df430cee692d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-05-12T19:14:13Z",
    "title_canon_sha256": "2934015102b3ceb9549200593a1f188d397815398e30709a9e19368a1084bd4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03934",
    "kind": "arxiv",
    "version": 8
  }
}