Pith Number

pith:ONKDFIAO

pith:2019:ONKDFIAOLUY7UAWMZRHUHLAGZO

not attested not anchored not stored refs pending

Concentration inequalities for random matrix products

Amelia Henriksen, Rachel Ward

arxiv:1907.05833 v1 · 2019-07-12 · 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{ONKDFIAOLUY7UAWMZRHUHLAGZO}

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	2026-05-17T23:40:44.259976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

735432a00e5d31fa02cccc4f43ac06cb9b5d3cc9bf1c4f273fa12c2562cc78cb

Aliases

arxiv: 1907.05833 · arxiv_version: 1907.05833v1 · doi: 10.48550/arxiv.1907.05833 · pith_short_12: ONKDFIAOLUY7 · pith_short_16: ONKDFIAOLUY7UAWM · pith_short_8: ONKDFIAO

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/ONKDFIAOLUY7UAWMZRHUHLAGZO \
  | 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: 735432a00e5d31fa02cccc4f43ac06cb9b5d3cc9bf1c4f273fa12c2562cc78cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b0ab20ccc05e644c350a013d245c14d743450fe5c3088463dd5d4688518bbd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-12T16:50:36Z",
    "title_canon_sha256": "2d302f3d5ebd1e2666857b5e7a6f1e2dfda9517ba02f73240556bbcee9861dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05833",
    "kind": "arxiv",
    "version": 1
  }
}