Pith Number

pith:RGYQYOVH

pith:2015:RGYQYOVHXADBUDZ63KDC7WTU6K

not attested not anchored not stored refs pending

Bulk universality of sparse random matrices

Benjamin Landon, Horng-Tzer Yau, Jiaoyang Huang

arxiv:1504.05170 v2 · 2015-04-20 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGYQYOVHXADBUDZ63KDC7WTU6K}

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	2026-05-18T01:22:40.473097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89b10c3aa7b8061a0f3eda862fda74f295e90ba92ab6ebf86e490836338f9c4e

Aliases

arxiv: 1504.05170 · arxiv_version: 1504.05170v2 · doi: 10.48550/arxiv.1504.05170 · pith_short_12: RGYQYOVHXADB · pith_short_16: RGYQYOVHXADBUDZ6 · pith_short_8: RGYQYOVH

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/RGYQYOVHXADBUDZ63KDC7WTU6K \
  | 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: 89b10c3aa7b8061a0f3eda862fda74f295e90ba92ab6ebf86e490836338f9c4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa46a9c7e2651f935b27687deb48c0ea05e578835da38e22e9c363c4bf172bf7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-20T19:43:45Z",
    "title_canon_sha256": "8b69ac5e4d0010e1dc47e49ece6d5c2ad63ed030fad5c792120f45e940da660d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05170",
    "kind": "arxiv",
    "version": 2
  }
}