Pith Number

pith:NSSXXK3O

pith:2012:NSSXXK3ONMH24HMZL5E5VNNKGV

not attested not anchored not stored refs pending

Mixing Coefficients Between Discrete and Real Random Variables: Computation and Properties

Mathukumalli Vidyasagar, Mehmet Eren Ahsen

arxiv:1208.1720 v5 · 2012-08-08 · stat.CO · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSSXXK3ONMH24HMZL5E5VNNKGV}

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	2026-05-18T03:19:24.382300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ca57bab6e6b0fae1d995f49dab5aa35469e7b9feeb23540c034f563147b2a4e

Aliases

arxiv: 1208.1720 · arxiv_version: 1208.1720v5 · doi: 10.48550/arxiv.1208.1720 · pith_short_12: NSSXXK3ONMH2 · pith_short_16: NSSXXK3ONMH24HMZ · pith_short_8: NSSXXK3O

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/NSSXXK3ONMH24HMZL5E5VNNKGV \
  | 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: 6ca57bab6e6b0fae1d995f49dab5aa35469e7b9feeb23540c034f563147b2a4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435c1f10b49e1631d0614dfa292066d7f5a733c11fc7710639e45bdaf8fe6309",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2012-08-08T17:46:51Z",
    "title_canon_sha256": "b84c8854ddf7e5a20d07fb811e385ab4beefa538deff4f342c929b298353a9cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1720",
    "kind": "arxiv",
    "version": 5
  }
}