Pith Number

pith:ESDEPI7C

pith:2010:ESDEPI7CEXPCH6PZSY3MCH6RJZ

not attested not anchored not stored refs pending

Smoothed Analysis of Moore-Penrose Inversion

Felipe Cucker, Peter Buergisser

arxiv:1002.4690 v2 · 2010-02-25 · 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{ESDEPI7CEXPCH6PZSY3MCH6RJZ}

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	2026-05-18T04:19:54.831761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248647a3e225de23f9f99636c11fd14e71a790ce2a001852356b4263afa22602

Aliases

arxiv: 1002.4690 · arxiv_version: 1002.4690v2 · doi: 10.48550/arxiv.1002.4690 · pith_short_12: ESDEPI7CEXPC · pith_short_16: ESDEPI7CEXPCH6PZ · pith_short_8: ESDEPI7C

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/ESDEPI7CEXPCH6PZSY3MCH6RJZ \
  | 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: 248647a3e225de23f9f99636c11fd14e71a790ce2a001852356b4263afa22602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6a8fe7a99f5b33d96bf620a589aaea05d3dd65ccf7040792a4d8c8b12bc6eeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-02-25T04:51:00Z",
    "title_canon_sha256": "5725c990087e65557f5b2ee5ce1b812aaf69fb2992817871cd9c90f108022abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4690",
    "kind": "arxiv",
    "version": 2
  }
}