Pith Number

pith:QSWKTWOI

pith:2014:QSWKTWOIIH3ZVVZGXOPQ2RPBM4

not attested not anchored not stored refs pending

Remarks on Gorenstein weak injective and weak flat modules

Tiwei Zhao, Yunge Xu

arxiv:1405.0648 v3 · 2014-05-04 · 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{QSWKTWOIIH3ZVVZGXOPQ2RPBM4}

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	2026-05-17T23:58:56.345260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84aca9d9c841f79ad726bb9f0d45e167064696a9015915ef42972ed11f50f9e8

Aliases

arxiv: 1405.0648 · arxiv_version: 1405.0648v3 · doi: 10.48550/arxiv.1405.0648 · pith_short_12: QSWKTWOIIH3Z · pith_short_16: QSWKTWOIIH3ZVVZG · pith_short_8: QSWKTWOI

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/QSWKTWOIIH3ZVVZGXOPQ2RPBM4 \
  | 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: 84aca9d9c841f79ad726bb9f0d45e167064696a9015915ef42972ed11f50f9e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2baa36eabbbaabb67a5996764d1a01fb2f621c5761ac88fa3deb329dcc33ba56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-05-04T05:19:39Z",
    "title_canon_sha256": "461e1b13290cf74a7edc156aeec16286a823f6315c152f12b00cb483a921acbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0648",
    "kind": "arxiv",
    "version": 3
  }
}