Pith Number

pith:OPM73ICB

pith:2019:OPM73ICBUMJRILJQR77XKRSY6X

not attested not anchored not stored refs pending

Lie Group Auto-Encoder

Liyu Gong, Qiang Cheng

arxiv:1901.09970 v1 · 2019-01-28 · cs.LG · math.GR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPM73ICBUMJRILJQR77XKRSY6X}

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	2026-05-17T23:55:16.447070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d9fda041a313142d308fff754658f5deb2d38c784a82b72ebcc7030e7b3d6f

Aliases

arxiv: 1901.09970 · arxiv_version: 1901.09970v1 · doi: 10.48550/arxiv.1901.09970 · pith_short_12: OPM73ICBUMJR · pith_short_16: OPM73ICBUMJRILJQ · pith_short_8: OPM73ICB

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/OPM73ICBUMJRILJQR77XKRSY6X \
  | 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: 73d9fda041a313142d308fff754658f5deb2d38c784a82b72ebcc7030e7b3d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dc4ddd8147ce0b40d15671ef0233012abe938369716f838ba11ee5713b3d90",
    "cross_cats_sorted": [
      "math.GR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-01-28T19:55:21Z",
    "title_canon_sha256": "baae377e6b8450e96dd193915ccf725889587c7722f3d18ff40d015bb0691fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09970",
    "kind": "arxiv",
    "version": 1
  }
}