Pith Number

pith:6DORSSV2

pith:2011:6DORSSV2V2XDUJMIBAEKOD32BH

not attested not anchored not stored refs pending

Phase Transition in Limiting Distributions of Coherence of High-Dimensional Random Matrices

Tiefeng Jiang, Tony Cai

arxiv:1102.2926 v1 · 2011-02-14 · 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{6DORSSV2V2XDUJMIBAEKOD32BH}

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	2026-05-18T04:28:38.691858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0dd194abaaeae3a25880808a70f7a09cda3d893a17eb84c7f7cf2278a38ff61

Aliases

arxiv: 1102.2926 · arxiv_version: 1102.2926v1 · doi: 10.48550/arxiv.1102.2926 · pith_short_12: 6DORSSV2V2XD · pith_short_16: 6DORSSV2V2XDUJMI · pith_short_8: 6DORSSV2

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/6DORSSV2V2XDUJMIBAEKOD32BH \
  | 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: f0dd194abaaeae3a25880808a70f7a09cda3d893a17eb84c7f7cf2278a38ff61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b734c8b304bd930e7be78abfd08f1bb255c2aaab5d241a8162392c7ea65071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-14T23:33:56Z",
    "title_canon_sha256": "cc37f53f4b3fe60af3203ce9e5b38e7e677c322ca9a5ee0386ef0656e8a98097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2926",
    "kind": "arxiv",
    "version": 1
  }
}