Pith Number

pith:MJPUOR7A

pith:2015:MJPUOR7AF6QXVPOHOJQHXU27KM

not attested not anchored not stored refs pending

The matrix Lie algebra on a one-step ladder is zero product determined

Daniel Brice

arxiv:1510.05072 v2 · 2015-10-17 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJPUOR7AF6QXVPOHOJQHXU27KM}

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	2026-05-18T01:25:24.235926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

625f4747e02fa17abdc772607bd35f530994983ca7415a44a6c68bb52e0428c9

Aliases

arxiv: 1510.05072 · arxiv_version: 1510.05072v2 · doi: 10.48550/arxiv.1510.05072 · pith_short_12: MJPUOR7AF6QX · pith_short_16: MJPUOR7AF6QXVPOH · pith_short_8: MJPUOR7A

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/MJPUOR7AF6QXVPOHOJQHXU27KM \
  | 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: 625f4747e02fa17abdc772607bd35f530994983ca7415a44a6c68bb52e0428c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b601169e5c217ffc4b819b34d7ad99dc9697a45040c05fc150a5d74ef8aace0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-10-17T05:44:14Z",
    "title_canon_sha256": "e5be2e75997422b4bafe9c1037ba321c4c74687755d4745d833a3100f5272a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05072",
    "kind": "arxiv",
    "version": 2
  }
}