Pith Number

pith:X6V4BSVY

pith:2015:X6V4BSVYWVFTH572MTUOUH55SU

not attested not anchored not stored refs pending

Super finitely presented modules and Gorenstein projective modules

Fanggui Wang, Hwankoo Kim, Lei Qiao

arxiv:1504.02832 v1 · 2015-04-11 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6V4BSVYWVFTH572MTUOUH55SU}

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	2026-05-18T00:38:23.692846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfabc0cab8b54b33f7fa64e8ea1fbd9532121f1443707a3474d97a18c0148171

Aliases

arxiv: 1504.02832 · arxiv_version: 1504.02832v1 · doi: 10.48550/arxiv.1504.02832 · pith_short_12: X6V4BSVYWVFT · pith_short_16: X6V4BSVYWVFTH572 · pith_short_8: X6V4BSVY

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/X6V4BSVYWVFTH572MTUOUH55SU \
  | 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: bfabc0cab8b54b33f7fa64e8ea1fbd9532121f1443707a3474d97a18c0148171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbf2869da86b99f2cb6c03c81e5ab7e54aa28e197f0e3f8d18f90c572c0f299f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-11T04:21:34Z",
    "title_canon_sha256": "8737d540d0ecf7d0914d08a4831e5b16951897aa087ff9e19ea561dff4812f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02832",
    "kind": "arxiv",
    "version": 1
  }
}