Pith Number

pith:PCKQLFW4

pith:2022:PCKQLFW47RJALABAAWAO7ITQZJ

not attested not anchored not stored refs pending

The generalized inverses of tensors via the C-Product

Hongjie Jiang, Hongwei Jin, Shumin Xu, Xiaoji Liu

arxiv:2211.02841 v2 · 2022-11-05 · 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{PCKQLFW47RJALABAAWAO7ITQZJ}

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	2026-07-05T09:47:25.141467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78950596dcfc520580200580efa270ca61aa4a432a10a7c11a2102a4f44074a3

Aliases

arxiv: 2211.02841 · arxiv_version: 2211.02841v2 · doi: 10.48550/arxiv.2211.02841 · pith_short_12: PCKQLFW47RJA · pith_short_16: PCKQLFW47RJALABA · pith_short_8: PCKQLFW4

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/PCKQLFW47RJALABAAWAO7ITQZJ \
  | 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: 78950596dcfc520580200580efa270ca61aa4a432a10a7c11a2102a4f44074a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3dd83e2cf3762fa3bd36fd6927369244de5ae123ecbbb9edf05736682e840d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-11-05T07:53:00Z",
    "title_canon_sha256": "9c16e07467141af3511c422a5502add91a1cfa3d5b0437386b14ad4299c0adb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02841",
    "kind": "arxiv",
    "version": 2
  }
}