Pith Number

pith:N4KISNXX

pith:2013:N4KISNXXT6LMOKG76H2S5YCBKM

not attested not anchored not stored refs pending

Transformations of Matrix Structures Work Again II

Victor Y. Pan

arxiv:1311.3729 v1 · 2013-11-15 · 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{N4KISNXXT6LMOKG76H2S5YCBKM}

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	2026-05-18T03:07:03.171099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f148936f79f96c728dff1f52ee04153214fa029a3b619a41d4eff7831a2a97f

Aliases

arxiv: 1311.3729 · arxiv_version: 1311.3729v1 · doi: 10.48550/arxiv.1311.3729 · pith_short_12: N4KISNXXT6LM · pith_short_16: N4KISNXXT6LMOKG7 · pith_short_8: N4KISNXX

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/N4KISNXXT6LMOKG76H2S5YCBKM \
  | 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: 6f148936f79f96c728dff1f52ee04153214fa029a3b619a41d4eff7831a2a97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f09a4e3cb5a31cebc89947ba4e9e19717488db86df032818a86aa689cfd059",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-15T05:24:06Z",
    "title_canon_sha256": "4c554a2aa7bc9b5bfcfaa26118bedf4f8681b31ff5d8809ab9cb4d2ec0c1a942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3729",
    "kind": "arxiv",
    "version": 1
  }
}