Pith Number

pith:XWBK2S6P

pith:2022:XWBK2S6PJX5GLLZMLMLT27BVWT

not attested not anchored not stored refs pending

Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity

Jan Stovicek, Leonid Positselski

arxiv:2212.09639 v4 · 2022-12-19 · math.AG · 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{XWBK2S6PJX5GLLZMLMLT27BVWT}

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

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

Receipt and verification

First computed	2026-07-05T10:03:37.804190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd82ad4bcf4dfa65af2c5b173d7c35b4f60c667526c808116e68cd89df6f99f7

Aliases

arxiv: 2212.09639 · arxiv_version: 2212.09639v4 · doi: 10.48550/arxiv.2212.09639 · pith_short_12: XWBK2S6PJX5G · pith_short_16: XWBK2S6PJX5GLLZM · pith_short_8: XWBK2S6P

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/XWBK2S6PJX5GLLZMLMLT27BVWT \
  | 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: bd82ad4bcf4dfa65af2c5b173d7c35b4f60c667526c808116e68cd89df6f99f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830fe54d183faa4fc0a71bab137e89ad2d3247dc6705ec533841dd3624e4f432",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-12-19T17:16:33Z",
    "title_canon_sha256": "8a5c5fbfc34abac9128e7ca5275af6210646c8a3a53cf6683fb192e86b4978df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09639",
    "kind": "arxiv",
    "version": 4
  }
}