Pith Number

pith:CQOAYIN4

pith:2024:CQOAYIN4FNXXWPSIXEJ5H5QVGF

not attested not anchored not stored refs pending

The canonical trace of Cohen-Macaulay algebras of codimension 2

Antonino Ficarra

arxiv:2406.07517 v1 · 2024-06-11 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQOAYIN4FNXXWPSIXEJ5H5QVGF}

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

Canonical traces of graded fiber products: applications to disconnected Stanley--Reisner rings

Receipt and verification

First computed	2026-07-05T08:30:26.476597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141c0c21bc2b6f7b3e48b913d3f6153164a80550c37f9bf319b54e865c955bd4

Aliases

arxiv: 2406.07517 · arxiv_version: 2406.07517v1 · doi: 10.48550/arxiv.2406.07517 · pith_short_12: CQOAYIN4FNXX · pith_short_16: CQOAYIN4FNXXWPSI · pith_short_8: CQOAYIN4

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/CQOAYIN4FNXXWPSIXEJ5H5QVGF \
  | 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: 141c0c21bc2b6f7b3e48b913d3f6153164a80550c37f9bf319b54e865c955bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fafcfb5157c581f1c55eabee3ead7832a4693ec69029d60ef44fd66db4930f78",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-06-11T17:48:50Z",
    "title_canon_sha256": "ab0e0e880c99e3cc0adc3d8810fa5b081079dfdae8ca0aa4d75705f5a9381133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.07517",
    "kind": "arxiv",
    "version": 1
  }
}