Pith Number

pith:W53KHS43

pith:2015:W53KHS433DVD2ON7KTOW6LBSA5

not attested not anchored not stored refs pending

Properties of the Sample Mean in Graph Spaces and the Majorize-Minimize-Mean Algorithm

Brijnesh J. Jain

arxiv:1511.00871 v1 · 2015-11-03 · cs.CV · 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{W53KHS433DVD2ON7KTOW6LBSA5}

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	2026-05-18T01:27:55.987607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b776a3cb9bd8ea3d39bf54dd6f2c320779f8976e1fa9c04a46992db799bf5ad6

Aliases

arxiv: 1511.00871 · arxiv_version: 1511.00871v1 · doi: 10.48550/arxiv.1511.00871 · pith_short_12: W53KHS433DVD · pith_short_16: W53KHS433DVD2ON7 · pith_short_8: W53KHS43

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/W53KHS433DVD2ON7KTOW6LBSA5 \
  | 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: b776a3cb9bd8ea3d39bf54dd6f2c320779f8976e1fa9c04a46992db799bf5ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9600664637f6d4427dc5af1ecfcaf975bd18e20c6bf4ec4cb953b99a71ef6f6d",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2015-11-03T12:09:26Z",
    "title_canon_sha256": "34b101e88232a859047c60dd100b109169ad2463b9323686185269c681621b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00871",
    "kind": "arxiv",
    "version": 1
  }
}