Pith Number

pith:TVR5WIFI

pith:2023:TVR5WIFIGZHBPQGKIDYLX6U7TP

not attested not anchored not stored refs pending

Determinantal structure of the overlaps for induced spherical unitary ensemble

Kohei Noda

arxiv:2312.12690 v2 · 2023-12-20 · 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{TVR5WIFIGZHBPQGKIDYLX6U7TP}

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	2026-07-05T08:57:53.994970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d63db20a8364e17c0ca40f0bbfa9f9be08156fa67a74eddbb3c4878b72f47f3

Aliases

arxiv: 2312.12690 · arxiv_version: 2312.12690v2 · doi: 10.48550/arxiv.2312.12690 · pith_short_12: TVR5WIFIGZHB · pith_short_16: TVR5WIFIGZHBPQGK · pith_short_8: TVR5WIFI

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/TVR5WIFIGZHBPQGKIDYLX6U7TP \
  | 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: 9d63db20a8364e17c0ca40f0bbfa9f9be08156fa67a74eddbb3c4878b72f47f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea12f135e466f12c52e35d9abd95763f2faaa33b6ebd44ea536464ece4fda17a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-12-20T01:17:47Z",
    "title_canon_sha256": "b0f7398da976dbbb568a3ab030ca43bdaef7b54bc59bc208db46686ef11b1deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.12690",
    "kind": "arxiv",
    "version": 2
  }
}