Pith Number

pith:FCFA4ZH3

pith:2014:FCFA4ZH3SHRWP3YBTRN6LEUSJJ

not attested not anchored not stored refs pending

Some notes on Gorenstein projective modules

Jian Wang

arxiv:1401.4015 v3 · 2014-01-16 · 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{FCFA4ZH3SHRWP3YBTRN6LEUSJJ}

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	2026-05-18T03:01:33.094427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288a0e64fb91e367ef019c5be592924a68b40505f276ecd2dd582d7071f05958

Aliases

arxiv: 1401.4015 · arxiv_version: 1401.4015v3 · doi: 10.48550/arxiv.1401.4015 · pith_short_12: FCFA4ZH3SHRW · pith_short_16: FCFA4ZH3SHRWP3YB · pith_short_8: FCFA4ZH3

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/FCFA4ZH3SHRWP3YBTRN6LEUSJJ \
  | 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: 288a0e64fb91e367ef019c5be592924a68b40505f276ecd2dd582d7071f05958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ae181b334f9d96abf2ed2d874aa76b1d6d9503f97ba4b56d096f08e5238a30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-01-16T13:19:21Z",
    "title_canon_sha256": "b8abd49ff41e60dd4cca038f6f2416332560f7ae0d7be26d74c68c1741bb4db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4015",
    "kind": "arxiv",
    "version": 3
  }
}