Pith Number

pith:EIWTNM2C

pith:2019:EIWTNM2C7R7FEDPMU4ID44LRUL

not attested not anchored not stored refs pending

Existence and Uniqueness of the Karcher Mean on Unital $C^*$-algebras

Jimmie Lawson

arxiv:1901.09776 v1 · 2019-01-28 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIWTNM2C7R7FEDPMU4ID44LRUL}

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	2026-05-17T23:55:23.897281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

222d36b342fc7e520deca7103e7171a2f61f36ae603edcf349a34a3f123e453e

Aliases

arxiv: 1901.09776 · arxiv_version: 1901.09776v1 · doi: 10.48550/arxiv.1901.09776 · pith_short_12: EIWTNM2C7R7F · pith_short_16: EIWTNM2C7R7FEDPM · pith_short_8: EIWTNM2C

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/EIWTNM2C7R7FEDPMU4ID44LRUL \
  | 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: 222d36b342fc7e520deca7103e7171a2f61f36ae603edcf349a34a3f123e453e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a1c7fdf050b5af295e13cd6dac277c30abe14e71ccdaf046f6c9e5a3828668d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-01-28T16:25:16Z",
    "title_canon_sha256": "81e74dbdb48f0ee01911ff11a9680179c53ea35010b3750c3f68b72dd1e6c20b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09776",
    "kind": "arxiv",
    "version": 1
  }
}