Pith Number

pith:NJHLZAYI

pith:2009:NJHLZAYIMOAHCTDWJIL27TDUUC

not attested not anchored not stored refs pending

Fast construction of hierarchical matrix representation from matrix-vector multiplication

Jianfeng Lu, Lexing Ying, Lin Lin

arxiv:1001.0149 v2 · 2009-12-31 · 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{NJHLZAYIMOAHCTDWJIL27TDUUC}

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	2026-05-18T04:42:01.879680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4ebc83086380714c764a17afcc74a0a2e5e2faf361117d53465ecc7958abcf

Aliases

arxiv: 1001.0149 · arxiv_version: 1001.0149v2 · doi: 10.48550/arxiv.1001.0149 · pith_short_12: NJHLZAYIMOAH · pith_short_16: NJHLZAYIMOAHCTDW · pith_short_8: NJHLZAYI

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/NJHLZAYIMOAHCTDWJIL27TDUUC \
  | 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: 6a4ebc83086380714c764a17afcc74a0a2e5e2faf361117d53465ecc7958abcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92740e9b9bf1ca82362503e96bff546b3409309ab12527ed2a5ba27db57945ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-12-31T16:31:48Z",
    "title_canon_sha256": "de030be598ab68fabfa502bad68a032e761852a1cc799163175cb30e0a7e5b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0149",
    "kind": "arxiv",
    "version": 2
  }
}