Pith Number

pith:GC6RJULH

pith:2015:GC6RJULH7RXRDGLCGBFPVIMQ5R

not attested not anchored not stored refs pending

Orthogonal vs. Non-Orthogonal Reducibility of Matrix-Valued Measures

Erik Koelink, Pablo Rom\'an

arxiv:1509.06143 v2 · 2015-09-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GC6RJULH7RXRDGLCGBFPVIMQ5R}

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	2026-05-18T01:22:06.033968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30bd14d167fc6f119962304afaa190ec71821040f4da7bd15c4c557bdfaa9cee

Aliases

arxiv: 1509.06143 · arxiv_version: 1509.06143v2 · doi: 10.48550/arxiv.1509.06143 · pith_short_12: GC6RJULH7RXR · pith_short_16: GC6RJULH7RXRDGLC · pith_short_8: GC6RJULH

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/GC6RJULH7RXRDGLCGBFPVIMQ5R \
  | 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: 30bd14d167fc6f119962304afaa190ec71821040f4da7bd15c4c557bdfaa9cee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277cc19ba1dbb900d35773d3c03030459a12e12e74471fe67202f440e5337ec7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-21T08:34:21Z",
    "title_canon_sha256": "1db3ba748c3ea8f5bf91213592c95d3da6a40e40bc5ab46fdce2b1567cd1a48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06143",
    "kind": "arxiv",
    "version": 2
  }
}