Pith Number

pith:MB6F2JI4

pith:2013:MB6F2JI47C4AFLZLCFIZXXBAOQ

not attested not anchored not stored refs pending

On Grioli's minimum property and its relation to Cauchy's polar decomposition

Angela Madeo, Johannes Lankeit, Patrizio Neff

arxiv:1310.7826 v1 · 2013-09-30 · 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{MB6F2JI47C4AFLZLCFIZXXBAOQ}

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	2026-05-18T03:08:27.855885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607c5d251cf8b802af2b11519bdc20742bccd0c6fbef88532a52ee843395d0b3

Aliases

arxiv: 1310.7826 · arxiv_version: 1310.7826v1 · doi: 10.48550/arxiv.1310.7826 · pith_short_12: MB6F2JI47C4A · pith_short_16: MB6F2JI47C4AFLZL · pith_short_8: MB6F2JI4

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/MB6F2JI47C4AFLZLCFIZXXBAOQ \
  | 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: 607c5d251cf8b802af2b11519bdc20742bccd0c6fbef88532a52ee843395d0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550f4a34cc458b99b62d8a5147984e0934f2cee6f451f2bafb50f19823a9f4d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-09-30T13:12:09Z",
    "title_canon_sha256": "4ff1a2aae4c8eea78dd38f5fccafc2d97416f22bc7912778df5d47618805f056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7826",
    "kind": "arxiv",
    "version": 1
  }
}