Pith Number

pith:7KTJYLQC

pith:2015:7KTJYLQCBJMEU3V5INFTHMZ6JF

not attested not anchored not stored refs pending

Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres

Carlos Beltr\'an, Joaquim Ortega-Cerd\`a, Jordi Marzo

arxiv:1511.02535 v2 · 2015-11-08 · math.CA · 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{7KTJYLQCBJMEU3V5INFTHMZ6JF}

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	2026-05-18T01:01:44.876768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa69c2e020a584a6ebd434b33b33e496bf3a5031b6569e84e11b80bc70cebe2

Aliases

arxiv: 1511.02535 · arxiv_version: 1511.02535v2 · doi: 10.48550/arxiv.1511.02535 · pith_short_12: 7KTJYLQCBJME · pith_short_16: 7KTJYLQCBJMEU3V5 · pith_short_8: 7KTJYLQC

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/7KTJYLQCBJMEU3V5INFTHMZ6JF \
  | 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: faa69c2e020a584a6ebd434b33b33e496bf3a5031b6569e84e11b80bc70cebe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d27712b20ed6fbf2fe1b844d67d7e79c573a1b718ea234adbb3070e6f9e0b6a3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-08T22:02:07Z",
    "title_canon_sha256": "c7cf442ad662589369759cc614791cee4b2ac3679238036f96180ca1a956360b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02535",
    "kind": "arxiv",
    "version": 2
  }
}