Pith Number

pith:PKWCWRNF

pith:2015:PKWCWRNFIFDZDDBJRIMR4I7UMV

not attested not anchored not stored refs pending

A characterization of some families of Cohen--Macaulay, Gorenstein and/or Buchsbaum rings

Alberto Vigneron-Tenorio, Daniel Mar\'in-Arag\'on, Juan Ignacio Garc\'ia-Garc\'ia

arxiv:1507.04536 v3 · 2015-07-16 · 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{PKWCWRNFIFDZDDBJRIMR4I7UMV}

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	2026-05-18T00:34:45.065708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aac2b45a54147918c298a191e23f4656faecb26f6696b94068a80a1dc3e2a85

Aliases

arxiv: 1507.04536 · arxiv_version: 1507.04536v3 · doi: 10.48550/arxiv.1507.04536 · pith_short_12: PKWCWRNFIFDZ · pith_short_16: PKWCWRNFIFDZDDBJ · pith_short_8: PKWCWRNF

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/PKWCWRNFIFDZDDBJRIMR4I7UMV \
  | 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: 7aac2b45a54147918c298a191e23f4656faecb26f6696b94068a80a1dc3e2a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abebe1466aa3d95dd08e323e1cf4faed135f365da2ca6dda3672a30a672f31d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-07-16T12:07:03Z",
    "title_canon_sha256": "3c67b5718dbac4589a4b0fd01e0243ebdff5336a87defe59d5cada5c838e12c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04536",
    "kind": "arxiv",
    "version": 3
  }
}