Pith Number

pith:EX5CEGEZ

pith:2015:EX5CEGEZFVVWQM6SAVCNK66VOF

not attested not anchored not stored refs pending

Two-Point Correlation Functions and Universality for the Zeros of Systems of SO(n+1)-invariant Gaussian Random Polynomials

Pavel M. Bleher, Roland K. W. Roeder, Yushi Homma

arxiv:1502.01427 v2 · 2015-02-05 · math-ph · math.AG · 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{EX5CEGEZFVVWQM6SAVCNK66VOF}

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	2026-05-18T01:36:51.404144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25fa2218992d6b6833d20544d57bd571704531deb20f0a7e7fe3e52f5de391aa

Aliases

arxiv: 1502.01427 · arxiv_version: 1502.01427v2 · doi: 10.48550/arxiv.1502.01427 · pith_short_12: EX5CEGEZFVVW · pith_short_16: EX5CEGEZFVVWQM6S · pith_short_8: EX5CEGEZ

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/EX5CEGEZFVVWQM6SAVCNK66VOF \
  | 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: 25fa2218992d6b6833d20544d57bd571704531deb20f0a7e7fe3e52f5de391aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6f7d80b2e5470c81e879f06a1e014de0dce39d837d5758c59f0d053dacd742",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-05T03:43:55Z",
    "title_canon_sha256": "905e98da69a876a0c50a5c452afbec3874beaa25cfd86d4d2887fbcc23b9c267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01427",
    "kind": "arxiv",
    "version": 2
  }
}