Pith Number

pith:QGFPMANJ

pith:2008:QGFPMANJDIT4MKBLEIVTJVXD7X

not attested not anchored not stored refs pending

Componentwise condition numbers of random sparse matrices

Dennis Cheung, Felipe Cucker

arxiv:0807.0956 v2 · 2008-07-07 · math.NA · cs.NA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGFPMANJDIT4MKBLEIVTJVXD7X}

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	2026-06-03T22:06:07.788111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818af601a91a27c6282b222b34d6e3fdff85d0f75f13a4901fcaab43454f1029

Aliases

arxiv: 0807.0956 · arxiv_version: 0807.0956v2 · doi: 10.48550/arxiv.0807.0956 · pith_short_12: QGFPMANJDIT4 · pith_short_16: QGFPMANJDIT4MKBL · pith_short_8: QGFPMANJ

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/QGFPMANJDIT4MKBLEIVTJVXD7X \
  | 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: 818af601a91a27c6282b222b34d6e3fdff85d0f75f13a4901fcaab43454f1029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c518be82585685d2cdc4140ecc5162a6248229cb3f6aa54e06f47e85bb079a8c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-07-07T07:05:03Z",
    "title_canon_sha256": "1c876841072e285b3eeb6b9cf889e219cfaf0c7d893a0947ab793cb6964f39d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0956",
    "kind": "arxiv",
    "version": 2
  }
}