Pith Number

pith:C4PCEMEM

pith:2016:C4PCEMEMREKKDUF7BK6KUOX2TD

not attested not anchored not stored refs pending

Generalization of the Sherman-Morrison-Woodbury formula involving the Schur complement

Xuefeng Xu

arxiv:1607.01579 v2 · 2016-07-06 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4PCEMEMREKKDUF7BK6KUOX2TD}

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	2026-05-18T00:46:08.121958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171e22308c8914a1d0bf0abcaa3afa98d213909cc3a566c1715d54060eb74b34

Aliases

arxiv: 1607.01579 · arxiv_version: 1607.01579v2 · doi: 10.48550/arxiv.1607.01579 · pith_short_12: C4PCEMEMREKK · pith_short_16: C4PCEMEMREKKDUF7 · pith_short_8: C4PCEMEM

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/C4PCEMEMREKKDUF7BK6KUOX2TD \
  | 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: 171e22308c8914a1d0bf0abcaa3afa98d213909cc3a566c1715d54060eb74b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b046bc9e4a42771761001fc4ddbdcc269005430349848edff3eff4c56704f0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-06T12:02:56Z",
    "title_canon_sha256": "f0ca0c96837d9526c6062740b130c063a4127cad1dac2a1e6bac917b09cab736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01579",
    "kind": "arxiv",
    "version": 2
  }
}