Pith Number

pith:MROX4JOZ

pith:2026:MROX4JOZ3VZN64NDX2BM35HGIR

not attested not anchored not stored refs pending

Heat-Kernel Entropy Profiles and Geometric Effective Sample Size for Weighted Measures on Manifolds

Kisung You

arxiv:2607.06696 v1 · 2026-07-07 · stat.ML · cs.LG · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MROX4JOZ3VZN64NDX2BM35HGIR}

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	2026-07-09T00:19:23.736683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645d7e25d9dd72df71a3be82cdf4e644595de28abd223f7b4c6a04ab826bc17a

Aliases

arxiv: 2607.06696 · arxiv_version: 2607.06696v1 · doi: 10.48550/arxiv.2607.06696 · pith_short_12: MROX4JOZ3VZN · pith_short_16: MROX4JOZ3VZN64ND · pith_short_8: MROX4JOZ

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/MROX4JOZ3VZN64NDX2BM35HGIR \
  | 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: 645d7e25d9dd72df71a3be82cdf4e644595de28abd223f7b4c6a04ab826bc17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee2f304bd5587a076cb63df0fde6b2e1f7116b2393b8099e6af8eec4468f4a9",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-07T18:15:09Z",
    "title_canon_sha256": "7f769c586dc2f774cbb049465f2bf98d6f452eb00b4a1260565664dc1b177ad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06696",
    "kind": "arxiv",
    "version": 1
  }
}