Pith Number

pith:K42A6JSL

pith:2015:K42A6JSL7BT7ELE52SOD5P7GTJ

not attested not anchored not stored refs pending

Empirical Distributions of Eigenvalues of Product Ensembles

Tiefeng Jiang, Yongcheng Qi

arxiv:1508.03111 v2 · 2015-08-13 · 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{K42A6JSL7BT7ELE52SOD5P7GTJ}

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	2026-05-18T00:29:33.803510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57340f264bf867f22c9dd49c3ebfe69a46a7e2a575208facfba49f5c13cd50fd

Aliases

arxiv: 1508.03111 · arxiv_version: 1508.03111v2 · doi: 10.48550/arxiv.1508.03111 · pith_short_12: K42A6JSL7BT7 · pith_short_16: K42A6JSL7BT7ELE5 · pith_short_8: K42A6JSL

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/K42A6JSL7BT7ELE52SOD5P7GTJ \
  | 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: 57340f264bf867f22c9dd49c3ebfe69a46a7e2a575208facfba49f5c13cd50fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23902320a39aee1361823129dd35b5700219dfb31af8005a234ffdf9300b7b07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-13T03:42:31Z",
    "title_canon_sha256": "cc36aa3ed42f6454429477d29aec06989a25458a719ba03377d51dbf49b3f9fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03111",
    "kind": "arxiv",
    "version": 2
  }
}