Pith Number

pith:ZDRF2Z36

pith:2022:ZDRF2Z36KYNWDY6QZ46KCADWZW

not attested not anchored not stored refs pending

The Numerical Stability of Hyperbolic Representation Learning

Gal Mishne, Sheng Yang, Yusu Wang, Zhengchao Wan

arxiv:2211.00181 v4 · 2022-10-31 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDRF2Z36KYNWDY6QZ46KCADWZW}

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	2026-07-05T09:53:37.843912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e25d677e561b61e3d0cf3ca10076cd86f245a62fb4478bd21f0072cf5b5a99

Aliases

arxiv: 2211.00181 · arxiv_version: 2211.00181v4 · doi: 10.48550/arxiv.2211.00181 · pith_short_12: ZDRF2Z36KYNW · pith_short_16: ZDRF2Z36KYNWDY6Q · pith_short_8: ZDRF2Z36

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/ZDRF2Z36KYNWDY6QZ46KCADWZW \
  | 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: c8e25d677e561b61e3d0cf3ca10076cd86f245a62fb4478bd21f0072cf5b5a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "841cd1fb8be9c501ced2133a7a38a9e48d9ddfae18dc886e34b5af1542da7dcb",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-10-31T22:51:59Z",
    "title_canon_sha256": "e93796427de80ff5f208dc33dc947d2f85e0ce43ff659fb1ef62834bb94a58e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00181",
    "kind": "arxiv",
    "version": 4
  }
}