Pith Number

pith:5ZNT3T76

pith:2015:5ZNT3T76W6SLIN3YDDVKKWUG4C

not attested not anchored not stored refs pending

On the Limiting Spectral Density of Random Matrices filled with Stochastic Processes

Kristina Schubert, Matthias L\"owe

arxiv:1512.02498 v1 · 2015-12-08 · 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{5ZNT3T76W6SLIN3YDDVKKWUG4C}

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	2026-05-18T01:24:44.556686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee5b3dcffeb7a4b4377818eaa55a86e09d6cd3ba8ce8b0b817110d73240a897f

Aliases

arxiv: 1512.02498 · arxiv_version: 1512.02498v1 · doi: 10.48550/arxiv.1512.02498 · pith_short_12: 5ZNT3T76W6SL · pith_short_16: 5ZNT3T76W6SLIN3Y · pith_short_8: 5ZNT3T76

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/5ZNT3T76W6SLIN3YDDVKKWUG4C \
  | 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: ee5b3dcffeb7a4b4377818eaa55a86e09d6cd3ba8ce8b0b817110d73240a897f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d359e35cd5cf697607e2b47fa5ec8634a7fcdcab6cdeab4afd26ddea6dc8d8d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-08T15:05:53Z",
    "title_canon_sha256": "d366fd3cdebc1b7bfd35bbabec4d1dbfa9c055ccf69d6b970a43f14db6472801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02498",
    "kind": "arxiv",
    "version": 1
  }
}