Pith Number

pith:DUIR73II

pith:2022:DUIR73IIOZIMPNKS2USWCY7EPZ

not attested not anchored not stored refs pending

Local, colocal, and antilocal properties of modules and complexes over commutative rings

Leonid Positselski

arxiv:2212.10163 v5 · 2022-12-20 · math.AC · 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{DUIR73IIOZIMPNKS2USWCY7EPZ}

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	2026-07-05T07:48:28.007262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d111fed087650c7b552d5256163e47e79ee4f140e43506a3ab7089809a21871

Aliases

arxiv: 2212.10163 · arxiv_version: 2212.10163v5 · doi: 10.48550/arxiv.2212.10163 · pith_short_12: DUIR73IIOZIM · pith_short_16: DUIR73IIOZIMPNKS · pith_short_8: DUIR73II

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/DUIR73IIOZIMPNKS2USWCY7EPZ \
  | 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: 1d111fed087650c7b552d5256163e47e79ee4f140e43506a3ab7089809a21871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c3232c55049760b5ff067e2fbc24a31007920b60f210ffa100203af3bf0edea",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-12-20T10:59:21Z",
    "title_canon_sha256": "9f23aa271f6c62b21d2b0c3a37fb7e09b751132b5518e12c3726a03b115652ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10163",
    "kind": "arxiv",
    "version": 5
  }
}