Pith Number

pith:CXTQ65MJ

pith:2014:CXTQ65MJOWELFWH43EAE6HBY6E

not attested not anchored not stored refs pending

Products of independent elliptic random matrices

Alexander Soshnikov, David Renfrew, Sean O'Rourke, Van Vu

arxiv:1403.6080 v3 · 2014-03-24 · 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{CXTQ65MJOWELFWH43EAE6HBY6E}

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	2026-05-18T01:38:54.365258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e70f75897588b2d8fcd9004f1c38f10321fe0a9f04ec73e1a85f681d14eef2

Aliases

arxiv: 1403.6080 · arxiv_version: 1403.6080v3 · doi: 10.48550/arxiv.1403.6080 · pith_short_12: CXTQ65MJOWEL · pith_short_16: CXTQ65MJOWELFWH4 · pith_short_8: CXTQ65MJ

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/CXTQ65MJOWELFWH43EAE6HBY6E \
  | 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: 15e70f75897588b2d8fcd9004f1c38f10321fe0a9f04ec73e1a85f681d14eef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b85fe0ca57566194993dc94dc6582de5077f67529a0bd4f9992755f08210335",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-24T18:48:22Z",
    "title_canon_sha256": "7a3924b9b9d9560cc45fd926a3212cc1302a74448a05d92d359321ca17fb9884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6080",
    "kind": "arxiv",
    "version": 3
  }
}