Pith Number

pith:TC36VLFL

pith:2009:TC36VLFLBUPFCIES5FVZ3VBGJ6

not attested not anchored not stored refs pending

Constructing matrix geometric means

Federico Poloni

arxiv:0906.3132 v3 · 2009-06-17 · 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{TC36VLFLBUPFCIES5FVZ3VBGJ6}

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	2026-05-18T04:23:22.278512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b7eaacab0d1e512092e96b9dd4264fbee9e0f8faa774b95370131b93043e5f

Aliases

arxiv: 0906.3132 · arxiv_version: 0906.3132v3 · doi: 10.48550/arxiv.0906.3132 · pith_short_12: TC36VLFLBUPF · pith_short_16: TC36VLFLBUPFCIES · pith_short_8: TC36VLFL

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/TC36VLFLBUPFCIES5FVZ3VBGJ6 \
  | 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: 98b7eaacab0d1e512092e96b9dd4264fbee9e0f8faa774b95370131b93043e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa2e37f82ab379cde013444fc7402f5cb662922b9bb01cd6a3c21e6fc605fa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-06-17T10:18:52Z",
    "title_canon_sha256": "50e9ef4e4161e9e35492eb3ac4c8a4ab3051661d475114a3e303d5b6be69b4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3132",
    "kind": "arxiv",
    "version": 3
  }
}