Pith Number

pith:PJNYHE5J

pith:2017:PJNYHE5JF3LUGJ53AI3ATU5UN6

not attested not anchored not stored refs pending

$\rm{FP}_{n}$-injective and $\rm{FP}_{n}$-flat covers and preenvelopes, and Gorenstein AC-flat covers

Alina Iacob, Daniel Bravo, Sergio Estrada

arxiv:1709.10160 v1 · 2017-09-28 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJNYHE5JF3LUGJ53AI3ATU5UN6}

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	2026-05-18T00:34:04.160135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5b8393a92ed74327bb023609d3b46f893116224ae0762940e35df4c69dfae9

Aliases

arxiv: 1709.10160 · arxiv_version: 1709.10160v1 · doi: 10.48550/arxiv.1709.10160 · pith_short_12: PJNYHE5JF3LU · pith_short_16: PJNYHE5JF3LUGJ53 · pith_short_8: PJNYHE5J

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/PJNYHE5JF3LUGJ53AI3ATU5UN6 \
  | 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: 7a5b8393a92ed74327bb023609d3b46f893116224ae0762940e35df4c69dfae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a7406766fd17910470e38366e442c899d10cecb2751c0895a1b47ffe3dc770",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-09-28T20:39:10Z",
    "title_canon_sha256": "6bfa9bff47fdfa64eb5ae32c0926a30dfc22ed84e5bb402b4b7831198c50b4dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10160",
    "kind": "arxiv",
    "version": 1
  }
}