Pith Number

pith:GTAONAAI

pith:2021:GTAONAAI3BIRSHVCYMASFEAH73

not attested not anchored not stored refs pending

On the symmetric and skew-symmetric K-distributions

George K. Karagiannidis, Nestor D. Chatzidiamantis, Stylianos E. Trevlakis

arxiv:2107.02092 v2 · 2021-07-05 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTAONAAI3BIRSHVCYMASFEAH73}

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	2026-07-05T02:56:17.001054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34c0e68008d851191ea2c301229007fefd3929716eeacc5c4796c2639e992141

Aliases

arxiv: 2107.02092 · arxiv_version: 2107.02092v2 · doi: 10.48550/arxiv.2107.02092 · pith_short_12: GTAONAAI3BIR · pith_short_16: GTAONAAI3BIRSHVC · pith_short_8: GTAONAAI

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/GTAONAAI3BIRSHVCYMASFEAH73 \
  | 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: 34c0e68008d851191ea2c301229007fefd3929716eeacc5c4796c2639e992141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a9d27331d59bda44b831fd5670f5a7d33c7d352dc8e1fc6aec394258870025",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-07-05T15:31:24Z",
    "title_canon_sha256": "8bcca33036f1db36f1ef518f269c81ee8adf48cbddc8d47651f6368a1f7401cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.02092",
    "kind": "arxiv",
    "version": 2
  }
}