Pith Number

pith:7FBSMI33

pith:2010:7FBSMI33KG5SOYEOX5355VU3SP

not attested not anchored not stored refs pending

Higher-order derivatives of the QR and of the real symmetric eigenvalue decomposition in forward and reverse mode algorithmic differentiation

Lutz Lehmann, Ren\'e Lamour, Sebastian F. Walter

arxiv:1009.6112 v1 · 2010-09-30 · 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{7FBSMI33KG5SOYEOX5355VU3SP}

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	2026-05-18T04:40:01.043966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94326237b51bb27608ebf77ded69b93ebbed3cfe435a59580776ae9314bbf62

Aliases

arxiv: 1009.6112 · arxiv_version: 1009.6112v1 · doi: 10.48550/arxiv.1009.6112 · pith_short_12: 7FBSMI33KG5S · pith_short_16: 7FBSMI33KG5SOYEO · pith_short_8: 7FBSMI33

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/7FBSMI33KG5SOYEOX5355VU3SP \
  | 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: f94326237b51bb27608ebf77ded69b93ebbed3cfe435a59580776ae9314bbf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7245e06645de67e4457c2e7d1c2ddcc6a23df91154f09ba9a4eebeb8279e99ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-09-30T12:15:49Z",
    "title_canon_sha256": "fff31c22fb6b52f6576fb2319cc7935e4af9b06a894fd96af104f2aa856d015c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6112",
    "kind": "arxiv",
    "version": 1
  }
}