Pith Number

pith:MX5OYUPW

pith:2015:MX5OYUPWFVDEX52Y7N4QDLNNZD

not attested not anchored not stored refs pending

Inexact Krylov Subspace Algorithms for Large Matrix Exponential Eigenproblem from Dimensionality Reduction

Gang Wu, Li-jia Zhang, Meng Yang, Ting-ting Feng

arxiv:1512.06500 v1 · 2015-12-21 · math.NA · cs.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{MX5OYUPWFVDEX52Y7N4QDLNNZD}

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	2026-05-18T01:24:00.381658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65faec51f62d464bf758fb7901adadc8e81c6b858f6f42b97d0f2d9cb30229a8

Aliases

arxiv: 1512.06500 · arxiv_version: 1512.06500v1 · doi: 10.48550/arxiv.1512.06500 · pith_short_12: MX5OYUPWFVDE · pith_short_16: MX5OYUPWFVDEX52Y · pith_short_8: MX5OYUPW

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/MX5OYUPWFVDEX52Y7N4QDLNNZD \
  | 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: 65faec51f62d464bf758fb7901adadc8e81c6b858f6f42b97d0f2d9cb30229a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae83e9bd0c942661fee67b1c690477cca8c61674617d77e65317710740708fa",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-21T05:47:12Z",
    "title_canon_sha256": "cc603fe2efa2acad5d0b8c9ce4c989ea14f5d3c6a93c3832b8ab901d94ed973e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06500",
    "kind": "arxiv",
    "version": 1
  }
}