Pith Number

pith:EH4DGM75

pith:2015:EH4DGM75PFF7EN2Y25AMHOTKEK

not attested not anchored not stored refs pending

Beyond the excised ensemble: modelling elliptic curve L-functions with random matrices

Ian A. Cooper, Nina C. Snaith, Patrick W. Morris

arxiv:1511.05805 v1 · 2015-11-18 · math-ph · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EH4DGM75PFF7EN2Y25AMHOTKEK}

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	2026-05-18T01:20:33.089597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21f83333fd794bf23758d740c3ba6a22a6c6b9639c77d5c151a83ba3ecbf2fa6

Aliases

arxiv: 1511.05805 · arxiv_version: 1511.05805v1 · doi: 10.48550/arxiv.1511.05805 · pith_short_12: EH4DGM75PFF7 · pith_short_16: EH4DGM75PFF7EN2Y · pith_short_8: EH4DGM75

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/EH4DGM75PFF7EN2Y25AMHOTKEK \
  | 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: 21f83333fd794bf23758d740c3ba6a22a6c6b9639c77d5c151a83ba3ecbf2fa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf4f0d882c569f514319df255fd53613fe47053088e6ae9177549b58138b14f",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-18T14:35:35Z",
    "title_canon_sha256": "4368603028cb8014fd81e21ecbac62a5acf37856cc389c9c88dc66ab384df1c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05805",
    "kind": "arxiv",
    "version": 1
  }
}