Pith Number

pith:LLYQWJES

pith:2017:LLYQWJESFWBFCALGFHA4GYPY2U

not attested not anchored not stored refs pending

Foxby equivalence relative to $C$-weak injective and $C$-weak flat modules

Tiwei Zhao, Zenghui Gao

arxiv:1706.00568 v1 · 2017-06-02 · 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{LLYQWJESFWBFCALGFHA4GYPY2U}

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	2026-05-18T00:43:12.695406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af10b24922d8251016629c1c361f8d52eaabd3f092ef88900f5cf14b80c0b7e

Aliases

arxiv: 1706.00568 · arxiv_version: 1706.00568v1 · doi: 10.48550/arxiv.1706.00568 · pith_short_12: LLYQWJESFWBF · pith_short_16: LLYQWJESFWBFCALG · pith_short_8: LLYQWJES

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/LLYQWJESFWBFCALGFHA4GYPY2U \
  | 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: 5af10b24922d8251016629c1c361f8d52eaabd3f092ef88900f5cf14b80c0b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a828cf7a75a87ec6bdcb5fa46b6e65003f61ba0230a1e675370d4032d780f8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-06-02T06:48:08Z",
    "title_canon_sha256": "43e20ac152d7f13f02595bd084c0974e8219a890d75d14245fedfb9cf74b12ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00568",
    "kind": "arxiv",
    "version": 1
  }
}