Pith Number

pith:R5XR77EZ

pith:2014:R5XR77EZJOSPZIWXMHV3H47ZR3

not attested not anchored not stored refs pending

The category of maximal Cohen--Macaulay modules as a ring with several objects

Henrik Holm

arxiv:1408.0691 v1 · 2014-08-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5XR77EZJOSPZIWXMHV3H47ZR3}

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	2026-05-18T02:45:56.501958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6f1ffc994ba4fca2d761ebb3f3f98eece9255dc28977800d41bdf44046fa9e

Aliases

arxiv: 1408.0691 · arxiv_version: 1408.0691v1 · doi: 10.48550/arxiv.1408.0691 · pith_short_12: R5XR77EZJOSP · pith_short_16: R5XR77EZJOSPZIWX · pith_short_8: R5XR77EZ

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/R5XR77EZJOSPZIWXMHV3H47ZR3 \
  | 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: 8f6f1ffc994ba4fca2d761ebb3f3f98eece9255dc28977800d41bdf44046fa9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b402c80c427367ff7454b39f7470cd3e7fe1c5427a925a5ff0f6f98567a97b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-08-04T14:11:20Z",
    "title_canon_sha256": "590b22c343f9ac64b285b0f23e6c18b76d222711fff653b7f46434ff0524b3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0691",
    "kind": "arxiv",
    "version": 1
  }
}