Pith Number

pith:QTE2A5YI

pith:2020:QTE2A5YIWVB4FQLXHVD6ENT73Y

not attested not anchored not stored refs pending

Two equalities expressing the determinant of a matrix in terms of expectations over matrix-vector products

Jascha Sohl-Dickstein

arxiv:2005.06553 v2 · 2020-05-13 · stat.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{QTE2A5YIWVB4FQLXHVD6ENT73Y}

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	2026-07-05T01:11:34.328086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84c9a07708b543c2c1773d47e2367fde3fc46a5921303a271fa350c117f893a0

Aliases

arxiv: 2005.06553 · arxiv_version: 2005.06553v2 · doi: 10.48550/arxiv.2005.06553 · pith_short_12: QTE2A5YIWVB4 · pith_short_16: QTE2A5YIWVB4FQLX · pith_short_8: QTE2A5YI

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/QTE2A5YIWVB4FQLXHVD6ENT73Y \
  | 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: 84c9a07708b543c2c1773d47e2367fde3fc46a5921303a271fa350c117f893a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59bdd752704377f7390321a3f7521ca746dd08ca6308a3e5d3c06a3dd638dc58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2020-05-13T19:42:40Z",
    "title_canon_sha256": "3b0c2af856ba2e94297c17443636091a3ccd1e6e469c6a128a3595bfa7b861ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.06553",
    "kind": "arxiv",
    "version": 2
  }
}