Pith Number

pith:OC7BOKVV

pith:2019:OC7BOKVVADH74K7C4PYCVTB3TE

not attested not anchored not stored refs pending

Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity

James Zhang, Xiaoshan Qin, Yanhua Wang

arxiv:1906.06824 v1 · 2019-06-17 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OC7BOKVVADH74K7C4PYCVTB3TE}

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.

Receipt and verification

First computed	2026-05-17T23:43:12.556338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70be172ab500cffe2be2e3f02acc3b993a3b97f6192c7153c57ca6ca03c0959d

Aliases

arxiv: 1906.06824 · arxiv_version: 1906.06824v1 · doi: 10.48550/arxiv.1906.06824 · pith_short_12: OC7BOKVVADH7 · pith_short_16: OC7BOKVVADH74K7C · pith_short_8: OC7BOKVV

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/OC7BOKVVADH74K7C4PYCVTB3TE \
  | 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: 70be172ab500cffe2be2e3f02acc3b993a3b97f6192c7153c57ca6ca03c0959d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f87367aa65365e15809a26b4b0bf01b0a409011662eb3e9fa263fb712fdfcb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-06-17T03:10:25Z",
    "title_canon_sha256": "399a59ab1a2ccc47c30edde3e296c850c66c149f86dea968faedaed4cab152cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06824",
    "kind": "arxiv",
    "version": 1
  }
}