Pith Number

pith:7T4HBYIE

pith:2018:7T4HBYIEAGDJAAW6KEZU5DWHWJ

not attested not anchored not stored refs pending

On the best approximation of the hierarchical matrix product

Helmut Harbrecht, J\"urgen D\"olz, Michael D. Multerer

arxiv:1805.08998 v1 · 2018-05-23 · 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{7T4HBYIEAGDJAAW6KEZU5DWHWJ}

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	2026-05-18T00:15:08.825766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf870e10401869002de51334e8ec7b268e6786c32467a341adc4926499cced2

Aliases

arxiv: 1805.08998 · arxiv_version: 1805.08998v1 · doi: 10.48550/arxiv.1805.08998 · pith_short_12: 7T4HBYIEAGDJ · pith_short_16: 7T4HBYIEAGDJAAW6 · pith_short_8: 7T4HBYIE

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/7T4HBYIEAGDJAAW6KEZU5DWHWJ \
  | 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: fcf870e10401869002de51334e8ec7b268e6786c32467a341adc4926499cced2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ecd631b018a81ba9f6463ecab89a7bf96cad2574972f23750b990828cb1bde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-05-23T08:01:38Z",
    "title_canon_sha256": "281f101fa074e9f342c9ff1f66e48d2e21b056739d2b32bf2814d10c2641c467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08998",
    "kind": "arxiv",
    "version": 1
  }
}