Pith Number

pith:2Z3RO7OE

pith:2021:2Z3RO7OEVP6K7U5PULP6FJKXGK

not attested not anchored not stored refs pending

$\alpha$-Geodesical Skew Divergence

Hideitsu Hino, Masanari Kimura

arxiv:2103.17060 v4 · 2021-03-31 · cs.IT · math.IT · math.ST · stat.CO · stat.ML · 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{2Z3RO7OEVP6K7U5PULP6FJKXGK}

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	2026-07-05T02:34:48.285148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d677177dc4abfcafd3afa2dfe2a557328dfacd07f152cdef4611176ee9f73907

Aliases

arxiv: 2103.17060 · arxiv_version: 2103.17060v4 · doi: 10.48550/arxiv.2103.17060 · pith_short_12: 2Z3RO7OEVP6K · pith_short_16: 2Z3RO7OEVP6K7U5P · pith_short_8: 2Z3RO7OE

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/2Z3RO7OEVP6K7U5PULP6FJKXGK \
  | 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: d677177dc4abfcafd3afa2dfe2a557328dfacd07f152cdef4611176ee9f73907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923258023be2b5c2d67bb27d7f9a83314e86ab7208d63cc6c06ec193ee4ce11b",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.CO",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-03-31T13:27:58Z",
    "title_canon_sha256": "7f954c907d98829867bef70d87307382a655453e1b00eee957d921f15f8510fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.17060",
    "kind": "arxiv",
    "version": 4
  }
}