Pith Number

pith:JP5O2T3F

pith:2011:JP5O2T3F3ZT5X7AK7B4V24GPVK

not attested not anchored not stored refs pending

The geometric mean of two matrices from a computational viewpoint

Bruno Iannazzo

arxiv:1201.0101 v1 · 2011-12-30 · 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{JP5O2T3F3ZT5X7AK7B4V24GPVK}

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	2026-05-18T04:05:26.197344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bfaed4f65de67dbfc0af8795d70cfaa986e565390714236a44f68853dc11385

Aliases

arxiv: 1201.0101 · arxiv_version: 1201.0101v1 · doi: 10.48550/arxiv.1201.0101 · pith_short_12: JP5O2T3F3ZT5 · pith_short_16: JP5O2T3F3ZT5X7AK · pith_short_8: JP5O2T3F

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/JP5O2T3F3ZT5X7AK7B4V24GPVK \
  | 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: 4bfaed4f65de67dbfc0af8795d70cfaa986e565390714236a44f68853dc11385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d003997dafa658d628f75cd3509305a9addf0eb40d0cd05e6839b4dff3d088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-30T10:37:35Z",
    "title_canon_sha256": "b5855a24a86d2a7da30f7b79a851b82ffc1ebed9db61a8e85451cae86dea9933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0101",
    "kind": "arxiv",
    "version": 1
  }
}