Pith Number

pith:ZCMIHZIU

pith:2015:ZCMIHZIU6Y3DYPGGVYHKAYPWE3

not attested not anchored not stored refs pending

Optimal Concentration of Information Content For Log-Concave Densities

Liyao Wang, Matthieu Fradelizi, Mokshay Madiman

arxiv:1508.04093 v2 · 2015-08-17 · math.PR · cs.IT · math.FA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCMIHZIU6Y3DYPGGVYHKAYPWE3}

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	2026-05-17T23:52:08.764423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89883e514f6363c3cc6ae0ea061f626d7c9068035546d1ce5d32a3fcefb654c

Aliases

arxiv: 1508.04093 · arxiv_version: 1508.04093v2 · doi: 10.48550/arxiv.1508.04093 · pith_short_12: ZCMIHZIU6Y3D · pith_short_16: ZCMIHZIU6Y3DYPGG · pith_short_8: ZCMIHZIU

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/ZCMIHZIU6Y3DYPGGVYHKAYPWE3 \
  | 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: c89883e514f6363c3cc6ae0ea061f626d7c9068035546d1ce5d32a3fcefb654c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b27bf5428f270939a0f3efcae040e090414fa831bcb4f771a76a09b895697f2",
    "cross_cats_sorted": [
      "cs.IT",
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-17T17:41:14Z",
    "title_canon_sha256": "e5342d59d429eb830e3df349b7d4fb715c4e2d68aa1f3687ff49b195a8ee6186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04093",
    "kind": "arxiv",
    "version": 2
  }
}