Pith Number

pith:JKRCF3VE

pith:2018:JKRCF3VENADMAVPGLPC7DCR6HV

not attested not anchored not stored refs pending

Contramodules over pro-perfect topological rings

Leonid Positselski

arxiv:1807.10671 v6 · 2018-07-27 · 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{JKRCF3VENADMAVPGLPC7DCR6HV}

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

2 papers in Pith

Homomorphisms of topological rings and change-of-scalar functors

Contraherent cosheaves of contramodules on Noetherian formal schemes

Receipt and verification

First computed	2026-07-05T03:47:11.375131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa222eea46806c055e65bc5f18a3e3d598e21219234107023a92079dd7a2b2d

Aliases

arxiv: 1807.10671 · arxiv_version: 1807.10671v6 · doi: 10.48550/arxiv.1807.10671 · pith_short_12: JKRCF3VENADM · pith_short_16: JKRCF3VENADMAVPG · pith_short_8: JKRCF3VE

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/JKRCF3VENADMAVPGLPC7DCR6HV \
  | 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: 4aa222eea46806c055e65bc5f18a3e3d598e21219234107023a92079dd7a2b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd42f7f78cfde19b1649b046a6dbcf2fed52b6733ed28768f46f5fdceebb031",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-07-27T15:11:17Z",
    "title_canon_sha256": "1bb0a2447c4210d28b58a88aa605990fed34e558b8f648bd1fba16bfe00d3cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10671",
    "kind": "arxiv",
    "version": 6
  }
}