Pith Number

pith:EBLMX62A

pith:2016:EBLMX62AR5Q5IZOZHWI72OXIXC

not attested not anchored not stored refs pending

Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros

Anthony Mays, Folkmar Bornemann, Peter J. Forrester

arxiv:1608.04638 v4 · 2016-08-16 · math-ph · math.MP · 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{EBLMX62AR5Q5IZOZHWI72OXIXC}

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	2026-05-18T00:50:09.556706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2056cbfb408f61d465d93d91fd3ae8b8a5de99c9c860ec2dc89500a30e38cd00

Aliases

arxiv: 1608.04638 · arxiv_version: 1608.04638v4 · doi: 10.48550/arxiv.1608.04638 · pith_short_12: EBLMX62AR5Q5 · pith_short_16: EBLMX62AR5Q5IZOZ · pith_short_8: EBLMX62A

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/EBLMX62AR5Q5IZOZHWI72OXIXC \
  | 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: 2056cbfb408f61d465d93d91fd3ae8b8a5de99c9c860ec2dc89500a30e38cd00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080eadf0264688027b51763bfb868a8e5f01698cc366432ba7da2e17dbc6d451",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-16T15:32:44Z",
    "title_canon_sha256": "0ba392038a0733d1a09a54517eea7a692bee45cd2fa3aee1a678dad1893b7133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04638",
    "kind": "arxiv",
    "version": 4
  }
}