Pith Number

pith:UI5IO2FP

pith:2016:UI5IO2FPQCCR5YKM2QKDZSIQIM

not attested not anchored not stored refs pending

Multigrid methods combined with low-rank approximation for tensor structured Markov chains

Daniel Kressner, Francisco Macedo, Karsten Kahl, Matthias Bolten, Sonja Sokolovi\'c

arxiv:1605.06246 v1 · 2016-05-20 · 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{UI5IO2FPQCCR5YKM2QKDZSIQIM}

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	2026-05-18T01:14:19.477958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23a8768af80851ee14cd4143cc910430f454b7fc73a566362f5e676592ef8d3

Aliases

arxiv: 1605.06246 · arxiv_version: 1605.06246v1 · doi: 10.48550/arxiv.1605.06246 · pith_short_12: UI5IO2FPQCCR · pith_short_16: UI5IO2FPQCCR5YKM · pith_short_8: UI5IO2FP

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/UI5IO2FPQCCR5YKM2QKDZSIQIM \
  | 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: a23a8768af80851ee14cd4143cc910430f454b7fc73a566362f5e676592ef8d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "327458780e81823e8a97795de2149419dbed2b0fcd5768f7b208d90110b8f307",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-20T08:47:40Z",
    "title_canon_sha256": "2c307f948c7b3ec97c8080b7d93600b2b710870e8ad93bdc602f26b61bc27dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06246",
    "kind": "arxiv",
    "version": 1
  }
}