Pith Number

pith:2TUR3V3F

pith:2016:2TUR3V3FWPIPBP6H7DVBY7U6GW

not attested not anchored not stored refs pending

Auxiliary gradient-based sampling algorithms

Michalis K. Titsias, Omiros Papaspiliopoulos

arxiv:1610.09641 v3 · 2016-10-30 · stat.ML · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TUR3V3FWPIPBP6H7DVBY7U6GW}

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	2026-05-18T00:25:07.955591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e91dd765b3d0f0bfc7f8ea1c7e9e358b960ede60f0f8a8e0b3e57e778211ce

Aliases

arxiv: 1610.09641 · arxiv_version: 1610.09641v3 · doi: 10.48550/arxiv.1610.09641 · pith_short_12: 2TUR3V3FWPIP · pith_short_16: 2TUR3V3FWPIPBP6H · pith_short_8: 2TUR3V3F

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/2TUR3V3FWPIPBP6H7DVBY7U6GW \
  | 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: d4e91dd765b3d0f0bfc7f8ea1c7e9e358b960ede60f0f8a8e0b3e57e778211ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a63f1b335bcca90b01dc15d4a83e93f9384eb76daa7c7ba0c310772101f25c",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-10-30T12:13:15Z",
    "title_canon_sha256": "d11e9de1e5e5283de08093a2ed8186638b917aa286b7eb6a9b430e0ac9c3efcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09641",
    "kind": "arxiv",
    "version": 3
  }
}