Pith Number

pith:TPHWGH6Y

pith:2016:TPHWGH6YXCKMDGCFTHBMTE2IRV

not attested not anchored not stored refs pending

Gorenstein injective envelopes and covers over two sided noetherian rings

Alina Iacob

arxiv:1601.04665 v1 · 2016-01-18 · 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{TPHWGH6YXCKMDGCFTHBMTE2IRV}

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	2026-05-18T01:22:44.527684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcf631fd8b894c1984599c2c993488d60089a13ed65c6d3df66c9f7a5423356

Aliases

arxiv: 1601.04665 · arxiv_version: 1601.04665v1 · doi: 10.48550/arxiv.1601.04665 · pith_short_12: TPHWGH6YXCKM · pith_short_16: TPHWGH6YXCKMDGCF · pith_short_8: TPHWGH6Y

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/TPHWGH6YXCKMDGCFTHBMTE2IRV \
  | 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: 9bcf631fd8b894c1984599c2c993488d60089a13ed65c6d3df66c9f7a5423356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baf016ee36a9872554d815757500cb89b03811da46aaebec2f5e7a6f94582b62",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-18T19:36:15Z",
    "title_canon_sha256": "5a7912c172e267fd6e8fa85e90cd90a591d4173be083d9cc3b1aaf1aef2b7295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04665",
    "kind": "arxiv",
    "version": 1
  }
}