Pith Number

pith:XH4L466F

pith:2025:XH4L466FNX34WUTFU53YIXHVUH

not attested not anchored not stored refs pending

Hyperbolic Residual Quantization: Discrete Representations for Data with Latent Hierarchies

Alexandros Karatzoglou, Piotr Pi\k{e}kos, Subhradeep Kayal

arxiv:2505.12404 v1 · 2025-05-18 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XH4L466FNX34WUTFU53YIXHVUH}

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	2026-07-05T11:05:03.740090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f8be7bc56df7cb5265a777845cf5a1c57e77fb9fb909ecd108b6fb559566c1

Aliases

arxiv: 2505.12404 · arxiv_version: 2505.12404v1 · doi: 10.48550/arxiv.2505.12404 · pith_short_12: XH4L466FNX34 · pith_short_16: XH4L466FNX34WUTF · pith_short_8: XH4L466F

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/XH4L466FNX34WUTFU53YIXHVUH \
  | 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: b9f8be7bc56df7cb5265a777845cf5a1c57e77fb9fb909ecd108b6fb559566c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0010b8790c38839f7da28656de6cb6656084f7c7477b4a65ac98101b8c8db3a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-18T13:14:07Z",
    "title_canon_sha256": "0dd3c9817b320afc73730d5265cf47bf172d669f63e324b2bac7cbd05934284c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12404",
    "kind": "arxiv",
    "version": 1
  }
}