Pith Number

pith:CZLEZHFM

pith:2014:CZLEZHFM5FWL5KENEWIVT2OZY2

not attested not anchored not stored refs pending

Multigrid methods for tensor structured Markov chains with low rank approximation

Karsten Kahl, Matthias Bolten, Sonja Sokolovi\'c

arxiv:1412.0937 v2 · 2014-12-02 · 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{CZLEZHFM5FWL5KENEWIVT2OZY2}

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	2026-05-18T02:16:41.056577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16564c9cace96cbea88d259159e9d9c6972fdc0856e379c9d57cdf4b097c139b

Aliases

arxiv: 1412.0937 · arxiv_version: 1412.0937v2 · doi: 10.48550/arxiv.1412.0937 · pith_short_12: CZLEZHFM5FWL · pith_short_16: CZLEZHFM5FWL5KEN · pith_short_8: CZLEZHFM

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/CZLEZHFM5FWL5KENEWIVT2OZY2 \
  | 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: 16564c9cace96cbea88d259159e9d9c6972fdc0856e379c9d57cdf4b097c139b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a65eae421bc0661a5c9d2450f5b9376c4ca545356ea9a5a5d931ff4e77aac94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-02T14:50:04Z",
    "title_canon_sha256": "7d12356a35b28104080230ccd58b7273cf23405e841d29442ed7d7a330c8ec0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0937",
    "kind": "arxiv",
    "version": 2
  }
}