Pith Number

pith:LGWPFUVU

pith:2014:LGWPFUVULKPOLAHJMNKIA4WWJ2

not attested not anchored not stored refs pending

Gorenstein derived functors from special rings to arbitrary rings

Tiwei Zhao

arxiv:1405.3375 v2 · 2014-05-14 · 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{LGWPFUVULKPOLAHJMNKIA4WWJ2}

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	2026-05-18T02:16:48.967803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59acf2d2b45a9ee580e963548072d64e88d0ecf35ec3552f742793dfce0de43a

Aliases

arxiv: 1405.3375 · arxiv_version: 1405.3375v2 · doi: 10.48550/arxiv.1405.3375 · pith_short_12: LGWPFUVULKPO · pith_short_16: LGWPFUVULKPOLAHJ · pith_short_8: LGWPFUVU

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/LGWPFUVULKPOLAHJMNKIA4WWJ2 \
  | 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: 59acf2d2b45a9ee580e963548072d64e88d0ecf35ec3552f742793dfce0de43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8f93f840fdec79fe587421d202d091d023b59355b3b141063b081632e1d255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-05-14T06:28:16Z",
    "title_canon_sha256": "2e2b42f805aac1ab5831c66f1a05a25cd013a16e8bba9196569c59614e7a6b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3375",
    "kind": "arxiv",
    "version": 2
  }
}