Pith Number

pith:DPHBUV2L

pith:2019:DPHBUV2LTIXJVBW5D5QCBRWMSJ

not attested not anchored not stored refs pending

On a method to construct exponential families by representation theory

Koichi Tojo, Taro Yoshino

arxiv:1907.04212 v1 · 2019-07-06 · math.RT · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPHBUV2LTIXJVBW5D5QCBRWMSJ}

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	2026-05-17T23:41:02.989703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bce1a574b9a2e9a86dd1f6020c6cc926c6e4dd5634431893854491be360cb78

Aliases

arxiv: 1907.04212 · arxiv_version: 1907.04212v1 · doi: 10.48550/arxiv.1907.04212 · pith_short_12: DPHBUV2LTIXJ · pith_short_16: DPHBUV2LTIXJVBW5 · pith_short_8: DPHBUV2L

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/DPHBUV2LTIXJVBW5D5QCBRWMSJ \
  | 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: 1bce1a574b9a2e9a86dd1f6020c6cc926c6e4dd5634431893854491be360cb78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229b90aba6aafbf58d59a77abef98c24b0891d7c2f7d0c9552d9527639bcf93d",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-06T06:43:58Z",
    "title_canon_sha256": "ef60569536fffacc0ab89f0f52c8776e5ca2b4949e889fe2f4ac5a7139c1bc5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04212",
    "kind": "arxiv",
    "version": 1
  }
}