Pith Number

pith:NSLXK3TR

pith:2016:NSLXK3TRKXO7ABFG7IVQIM3GEQ

not attested not anchored not stored refs pending

Gorenstein projective objects in homotopy categories

Liu Zhongkui, Lu Bo

arxiv:1604.01549 v1 · 2016-04-06 · 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{NSLXK3TRKXO7ABFG7IVQIM3GEQ}

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	2026-05-18T01:03:26.641013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c97756e7155ddf004a6fa2b04336624324120ee5e0109d5ac9f6f3ebbbe7267

Aliases

arxiv: 1604.01549 · arxiv_version: 1604.01549v1 · doi: 10.48550/arxiv.1604.01549 · pith_short_12: NSLXK3TRKXO7 · pith_short_16: NSLXK3TRKXO7ABFG · pith_short_8: NSLXK3TR

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/NSLXK3TRKXO7ABFG7IVQIM3GEQ \
  | 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: 6c97756e7155ddf004a6fa2b04336624324120ee5e0109d5ac9f6f3ebbbe7267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2d33f4874369411c002dc138a38a37c2ce0d8797b4e04a027dc8e904eeafdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-04-06T09:19:43Z",
    "title_canon_sha256": "428dccf368b9fa3fbe53bf5df02d662b7af39c4243f03fa4c74f2f972d14cef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01549",
    "kind": "arxiv",
    "version": 1
  }
}