Pith Number

pith:YJ3MYTMT

pith:2016:YJ3MYTMTQ5UWCIOKI76DJ4K5AO

not attested not anchored not stored refs pending

Algebraic Identifiability of Gaussian Mixtures

Bernd Sturmfels, Carlos Am\'endola, Kristian Ranestad

arxiv:1612.01129 v2 · 2016-12-04 · math.AG · math.ST · 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{YJ3MYTMTQ5UWCIOKI76DJ4K5AO}

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	2026-05-17T23:48:17.708739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c276cc4d9387696121ca47fc34f15d03b75131468a6e7c7bd62a950c4ed3004d

Aliases

arxiv: 1612.01129 · arxiv_version: 1612.01129v2 · doi: 10.48550/arxiv.1612.01129 · pith_short_12: YJ3MYTMTQ5UW · pith_short_16: YJ3MYTMTQ5UWCIOK · pith_short_8: YJ3MYTMT

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/YJ3MYTMTQ5UWCIOKI76DJ4K5AO \
  | 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: c276cc4d9387696121ca47fc34f15d03b75131468a6e7c7bd62a950c4ed3004d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08a20ee1bd896e65cc0ad1393d36bae47ab5a7356a789a1aa211ce7ab823b548",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-04T15:19:23Z",
    "title_canon_sha256": "c65d2243f3d20f040951c42fb4923293ce67c1ed2a48d75a418ad626245823ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01129",
    "kind": "arxiv",
    "version": 2
  }
}