Pith Number

pith:SDMUGYJY

pith:2015:SDMUGYJYRAIJDDUSM5GQRK6FLE

not attested not anchored not stored refs pending

A Universal Closed Form For Square Matrix Powers

Walter Shur

arxiv:1512.00136 v1 · 2015-12-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDMUGYJYRAIJDDUSM5GQRK6FLE}

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	2026-05-18T01:25:32.665792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d94361388810918e92674d08abc5590cec388073e9d3264babd0d1488a9ac1

Aliases

arxiv: 1512.00136 · arxiv_version: 1512.00136v1 · doi: 10.48550/arxiv.1512.00136 · pith_short_12: SDMUGYJYRAIJ · pith_short_16: SDMUGYJYRAIJDDUS · pith_short_8: SDMUGYJY

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/SDMUGYJYRAIJDDUSM5GQRK6FLE \
  | 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: 90d94361388810918e92674d08abc5590cec388073e9d3264babd0d1488a9ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d980a13a727d5efa5bfbfdc00f63088831a859f98bbce1cd89073bed830d2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-01T04:31:41Z",
    "title_canon_sha256": "fccd8019eecd11ad3f9c6c4f088509d7b0c7cdf51bbe938a3194a7ae34bbe457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00136",
    "kind": "arxiv",
    "version": 1
  }
}