Pith Number

pith:4IFJDTSV

pith:2018:4IFJDTSVDTUQNAOUHLW23BFI3P

not attested not anchored not stored refs pending

Automatic Differentiation in Mixture Models

Siva Rajesh Kasa, Vaibhav Rajan

arxiv:1812.05928 v1 · 2018-12-13 · stat.CO · 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{4IFJDTSVDTUQNAOUHLW23BFI3P}

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	2026-05-17T23:58:17.780572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20a91ce551ce90681d43aedad84a8dbf34d3d34fa07a3d5367cbd5f3acc9a68

Aliases

arxiv: 1812.05928 · arxiv_version: 1812.05928v1 · doi: 10.48550/arxiv.1812.05928 · pith_short_12: 4IFJDTSVDTUQ · pith_short_16: 4IFJDTSVDTUQNAOU · pith_short_8: 4IFJDTSV

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/4IFJDTSVDTUQNAOUHLW23BFI3P \
  | 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: e20a91ce551ce90681d43aedad84a8dbf34d3d34fa07a3d5367cbd5f3acc9a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c84b810767abaa64d1ad939664f687e8567788bacb46a5a748636cb7a50776",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2018-12-13T16:33:35Z",
    "title_canon_sha256": "5816c51d743e73fcf19e30f7b77a3ff30d089469f51952655bb908b91ad9ae38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05928",
    "kind": "arxiv",
    "version": 1
  }
}