Pith Number

pith:RBSICLS3

pith:2016:RBSICLS37ECXS3T3YIJS36A7J2

not attested not anchored not stored refs pending

A New Method for Computing $\varphi$-functions and Their Condition Numbers of Large Sparse Matrices

Gang Wu, Lu Zhang

arxiv:1608.00419 v1 · 2016-08-01 · 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{RBSICLS37ECXS3T3YIJS36A7J2}

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	2026-05-18T01:10:11.817591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8864812e5bf905796e7bc2132df81f4e82e3d90a3e648bf61ce5e9003979be76

Aliases

arxiv: 1608.00419 · arxiv_version: 1608.00419v1 · doi: 10.48550/arxiv.1608.00419 · pith_short_12: RBSICLS37ECX · pith_short_16: RBSICLS37ECXS3T3 · pith_short_8: RBSICLS3

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/RBSICLS37ECXS3T3YIJS36A7J2 \
  | 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: 8864812e5bf905796e7bc2132df81f4e82e3d90a3e648bf61ce5e9003979be76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2257121c6c14c9d490827f669cd0ff0be0bc1f1f4427214c477316a1a305cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-01T13:30:30Z",
    "title_canon_sha256": "ede53c4acac15f23316eec2b672bdc2accd7df98c0a102f05fef9b0a51cc1c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00419",
    "kind": "arxiv",
    "version": 1
  }
}