Pith Number

pith:DGSCJD4Y

pith:2017:DGSCJD4YSXKUU5TTDAMWUI2PSB

not attested not anchored not stored refs pending

Gorenstein projective complexes with respect to cotorsion pairs

Pengju Ma, Renyu Zhao

arxiv:1707.04983 v1 · 2017-07-17 · 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{DGSCJD4YSXKUU5TTDAMWUI2PSB}

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	2026-05-18T00:40:11.675744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a4248f9895d54a767318196a234f906842d890f2fb1cde558da06a431ac137

Aliases

arxiv: 1707.04983 · arxiv_version: 1707.04983v1 · doi: 10.48550/arxiv.1707.04983 · pith_short_12: DGSCJD4YSXKU · pith_short_16: DGSCJD4YSXKUU5TT · pith_short_8: DGSCJD4Y

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/DGSCJD4YSXKUU5TTDAMWUI2PSB \
  | 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: 19a4248f9895d54a767318196a234f906842d890f2fb1cde558da06a431ac137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69201f40f37c0a4555d2d8a05e443f32e2d01656bc83410cab20d28b7384a5cb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-07-17T02:40:45Z",
    "title_canon_sha256": "58d8269ee291f287aea9b51ad584f29fa26fe7a5585560dc67c856b894dcddff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04983",
    "kind": "arxiv",
    "version": 1
  }
}