Pith Number

pith:XBJX6BKL

pith:2026:XBJX6BKLEQVL25P3GSU2P65BK2

not attested not anchored not stored refs pending

Sparse symmetric generalized inverses for sparse symmetric matrices

Ananias Machado, Jon Lee, Marcia Fampa

arxiv:2605.26318 v1 · 2026-05-25 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBJX6BKLEQVL25P3GSU2P65BK2}

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	2026-05-27T01:05:11.741249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8537f054b242abd75fb34a9a7fba1569dbd57c9e8181f84ec78ca4d2ff6f5a5

Aliases

arxiv: 2605.26318 · arxiv_version: 2605.26318v1 · doi: 10.48550/arxiv.2605.26318 · pith_short_12: XBJX6BKLEQVL · pith_short_16: XBJX6BKLEQVL25P3 · pith_short_8: XBJX6BKL

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/XBJX6BKLEQVL25P3GSU2P65BK2 \
  | 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: b8537f054b242abd75fb34a9a7fba1569dbd57c9e8181f84ec78ca4d2ff6f5a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6673ffd855241b8bdb1f5d5ccbd1f3d89fd4747b5b17fef769c54a6ea9beb9f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-25T20:25:30Z",
    "title_canon_sha256": "fbf75cf34ff3fc3021cbde9290756d2484588cb86c0dcacf5371d9af2ba14290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26318",
    "kind": "arxiv",
    "version": 1
  }
}