Pith Number

pith:5PQJ3HJ7

pith:2016:5PQJ3HJ73Z7WYM2HWUXYBZTQLF

not attested not anchored not stored refs pending

Pseudo core inverses in rings with involution

Jianlong Chen, Yuefeng Gao

arxiv:1609.02798 v2 · 2016-09-09 · 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{5PQJ3HJ73Z7WYM2HWUXYBZTQLF}

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	2026-05-18T00:46:39.879292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe09d9d3fde7f6c3347b52f80e6705965ca96f572a39b596f7b6a006dba9921

Aliases

arxiv: 1609.02798 · arxiv_version: 1609.02798v2 · doi: 10.48550/arxiv.1609.02798 · pith_short_12: 5PQJ3HJ73Z7W · pith_short_16: 5PQJ3HJ73Z7WYM2H · pith_short_8: 5PQJ3HJ7

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/5PQJ3HJ73Z7WYM2HWUXYBZTQLF \
  | 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: ebe09d9d3fde7f6c3347b52f80e6705965ca96f572a39b596f7b6a006dba9921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f1ea42e15cabb1cedd12d26f7d20bfb672b96665fe45ff0b20f3e1a2b61e22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-09T14:02:59Z",
    "title_canon_sha256": "32ba502d5a5d5494ec32e35e5d1b89f5f6d964c3db93904f0056a9736c89cd12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02798",
    "kind": "arxiv",
    "version": 2
  }
}