Pith Number

pith:T3OXVSZR

pith:2013:T3OXVSZRXHI36HN4IEC3M7UVVA

not attested not anchored not stored refs pending

On the solution of the linear matrix equation $X=Af(X)B+C$

Chun-Yueh Chiang

arxiv:1310.8124 v2 · 2013-10-30 · 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{T3OXVSZRXHI36HN4IEC3M7UVVA}

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	2026-05-18T03:08:24.411434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9edd7acb31b9d1bf1dbc4105b67e95a820472259f6d393283f26fd6ef22b4a77

Aliases

arxiv: 1310.8124 · arxiv_version: 1310.8124v2 · doi: 10.48550/arxiv.1310.8124 · pith_short_12: T3OXVSZRXHI3 · pith_short_16: T3OXVSZRXHI36HN4 · pith_short_8: T3OXVSZR

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/T3OXVSZRXHI36HN4IEC3M7UVVA \
  | 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: 9edd7acb31b9d1bf1dbc4105b67e95a820472259f6d393283f26fd6ef22b4a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08bb116936e27b1126c80cfe7cb6d7c6ad1faa358beaee15a839958cb1d63a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-30T12:42:40Z",
    "title_canon_sha256": "1d0492a63deef55b131d6d90989a260d2beb3b9a6441df7984cb859e2da983f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8124",
    "kind": "arxiv",
    "version": 2
  }
}