Pith Number

pith:T7GCPYCT

pith:2018:T7GCPYCTK7UB2AJZIAX6UFWQYD

not attested not anchored not stored refs pending

Nonconventional Random Matrix Products

Sasha Sodin, Yuri Kifer

arxiv:1803.09221 v3 · 2018-03-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7GCPYCTK7UB2AJZIAX6UFWQYD}

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	2026-05-17T23:58:14.445888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fcc27e05357e81d0139402fea16d0c0f4a20cd71897bf166a9d88479ff8d69a

Aliases

arxiv: 1803.09221 · arxiv_version: 1803.09221v3 · doi: 10.48550/arxiv.1803.09221 · pith_short_12: T7GCPYCTK7UB · pith_short_16: T7GCPYCTK7UB2AJZ · pith_short_8: T7GCPYCT

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/T7GCPYCTK7UB2AJZIAX6UFWQYD \
  | 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: 9fcc27e05357e81d0139402fea16d0c0f4a20cd71897bf166a9d88479ff8d69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60dc5e7e82f1c37f83d5851d616bf99f5260f0a3e042de161603c85ca386094e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-25T09:34:34Z",
    "title_canon_sha256": "9fd2703d4a9a8c0f46986dee7b44065d939083c11da6b0da86e8a2f1a7cac02b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09221",
    "kind": "arxiv",
    "version": 3
  }
}