Pith Number

pith:M4ZOSSO3

pith:2015:M4ZOSSO3ZQMIVACJR6EHL5GQJS

not attested not anchored not stored refs pending

Schur idempotents and hyperreflexivity

G. K. Eleftherakis, I. G. Todorov, R. H. Levene

arxiv:1502.01530 v2 · 2015-02-05 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4ZOSSO3ZQMIVACJR6EHL5GQJS}

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	2026-05-18T00:07:44.161558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6732e949dbcc188a80498f8875f4d04ca49daaa42e351e054b36cb38be94dd3f

Aliases

arxiv: 1502.01530 · arxiv_version: 1502.01530v2 · doi: 10.48550/arxiv.1502.01530 · pith_short_12: M4ZOSSO3ZQMI · pith_short_16: M4ZOSSO3ZQMIVACJ · pith_short_8: M4ZOSSO3

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/M4ZOSSO3ZQMIVACJR6EHL5GQJS \
  | 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: 6732e949dbcc188a80498f8875f4d04ca49daaa42e351e054b36cb38be94dd3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3edef2a26bdf6178fbf84990e72509be2744217f31981f7e57421763ef38c3dd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-05T13:18:42Z",
    "title_canon_sha256": "b7c01e917008314333c9c970f73d20fd78b5baf146543f054c41778e09928eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01530",
    "kind": "arxiv",
    "version": 2
  }
}