Pith Number

pith:MECH2A4E

pith:2013:MECH2A4EN6UWYG2FD4IHV2FW4D

not attested not anchored not stored refs pending

On the concentration of random multilinear forms and the universality of random block matrices

Hoi Nguyen, Sean O'Rourke

arxiv:1309.4815 v4 · 2013-09-18 · 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{MECH2A4EN6UWYG2FD4IHV2FW4D}

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	2026-05-18T01:59:58.968357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61047d03846fa96c1b451f107ae8b6e0ff265fd87cc55734e34590a415d75b89

Aliases

arxiv: 1309.4815 · arxiv_version: 1309.4815v4 · doi: 10.48550/arxiv.1309.4815 · pith_short_12: MECH2A4EN6UW · pith_short_16: MECH2A4EN6UWYG2F · pith_short_8: MECH2A4E

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/MECH2A4EN6UWYG2FD4IHV2FW4D \
  | 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: 61047d03846fa96c1b451f107ae8b6e0ff265fd87cc55734e34590a415d75b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2284cc144760db9699f3daf87f2a59132bdde3b34574ef5db5fd9706116ae67a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-18T22:54:50Z",
    "title_canon_sha256": "d355fdf32d9e5b488a30371ae51ebcc939a74bf435986fe0948a5e8d12e36a9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4815",
    "kind": "arxiv",
    "version": 4
  }
}