Pith Number

pith:Y5UHAVSL

pith:2023:Y5UHAVSLTHNXK3JKQLVED47URW

not attested not anchored not stored refs pending

Gorenstein $\mathrm{FP}_n$-flat modules and weak global dimensions

V\'ictor Becerril

arxiv:2303.12955 v3 · 2023-03-22 · math.RA · 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{Y5UHAVSLTHNXK3JKQLVED47URW}

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	2026-07-05T09:44:32.210440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76870564b99db756d2a82ea41f3f48da1e0e9cbad8d5fab810d02cab83aa551

Aliases

arxiv: 2303.12955 · arxiv_version: 2303.12955v3 · doi: 10.48550/arxiv.2303.12955 · pith_short_12: Y5UHAVSLTHNX · pith_short_16: Y5UHAVSLTHNXK3JK · pith_short_8: Y5UHAVSL

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/Y5UHAVSLTHNXK3JKQLVED47URW \
  | 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: c76870564b99db756d2a82ea41f3f48da1e0e9cbad8d5fab810d02cab83aa551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc86fa95daaf762cc2f22ea80c24f7f2bcb1ffb8365589c17d88c86edf93d7da",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2023-03-22T23:34:27Z",
    "title_canon_sha256": "25661c5bf23566770e9b9fd41377227d6aa2bda376d3be095d0d478ade526eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.12955",
    "kind": "arxiv",
    "version": 3
  }
}