Pith Number

pith:UC4DA4MK

pith:2026:UC4DA4MKKIRMCCM4LLYHU5LRDT

not attested not anchored not stored refs pending

Mixture and separation of log-concave measures

March T. Boedihardjo, Yao Xie

arxiv:2607.17368 v1 · 2026-07-19 · math.ST · math.PR · 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{UC4DA4MKKIRMCCM4LLYHU5LRDT}

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	2026-07-21T01:21:29.923435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b830718a5222c1099c5af07a75711cd577d0f2e2f111aa4c8bebdce5e678b7

Aliases

arxiv: 2607.17368 · arxiv_version: 2607.17368v1 · doi: 10.48550/arxiv.2607.17368 · pith_short_12: UC4DA4MKKIRM · pith_short_16: UC4DA4MKKIRMCCM4 · pith_short_8: UC4DA4MK

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/UC4DA4MKKIRMCCM4LLYHU5LRDT \
  | 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: a0b830718a5222c1099c5af07a75711cd577d0f2e2f111aa4c8bebdce5e678b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80a060ad0a7a9f575a3f551f9917c45e53f87694279237be4123ebb9b337789",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-19T18:12:24Z",
    "title_canon_sha256": "7c87405a8fd409507f18385a848b045f4bb8044546589e2908812c8e396fddb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17368",
    "kind": "arxiv",
    "version": 1
  }
}