Pith Number

pith:JMFB7MP7

pith:2026:JMFB7MP7QSJ62VYJES46J5VBB3

not attested not anchored not stored refs pending

A Tutorial on Bregman Projection in Statistics

Gunhee Cho, Jae Kwang Kim, Yumou Qiu

arxiv:2606.21714 v1 · 2026-06-19 · 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{JMFB7MP7QSJ62VYJES46J5VBB3}

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	2026-06-23T01:13:20.510204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0a1fb1ff8493ed570924b9e4f6a10ef77787be5fb6caed9f7e6490e91450cf

Aliases

arxiv: 2606.21714 · arxiv_version: 2606.21714v1 · doi: 10.48550/arxiv.2606.21714 · pith_short_12: JMFB7MP7QSJ6 · pith_short_16: JMFB7MP7QSJ62VYJ · pith_short_8: JMFB7MP7

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/JMFB7MP7QSJ62VYJES46J5VBB3 \
  | 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: 4b0a1fb1ff8493ed570924b9e4f6a10ef77787be5fb6caed9f7e6490e91450cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1dbb90f8474f2a95aa5e07ee4ab9c0eb8a2d0db7e02ace9e8e32f7b7130c7b7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-19T19:59:44Z",
    "title_canon_sha256": "9dd1f642d1ba0d8c76b4965205c40cd7e44cd4d354d14df9f76528aaffcd9a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21714",
    "kind": "arxiv",
    "version": 1
  }
}