Pith Number

pith:4BQ7JJHD

pith:2021:4BQ7JJHDMFDXOBLPMNFEOATW4L

not attested not anchored not stored refs pending

HyperExpan: Taxonomy Expansion with Hyperbolic Representation Learning

Mingyu Derek Ma, Muhao Chen, Nanyun Peng, Te-Lin Wu

arxiv:2109.10500 v1 · 2021-09-22 · cs.CL · 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{4BQ7JJHDMFDXOBLPMNFEOATW4L}

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.

Cited by

1 paper in Pith

Polaris: Coupled Orbital Polar Embeddings for Hierarchical Concept Learning

Receipt and verification

First computed	2026-07-05T03:16:37.041963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e061f4a4e3614777056f634a470276e2c29f096cd3d9d5edbe5c29952d730d9d

Aliases

arxiv: 2109.10500 · arxiv_version: 2109.10500v1 · doi: 10.48550/arxiv.2109.10500 · pith_short_12: 4BQ7JJHDMFDX · pith_short_16: 4BQ7JJHDMFDXOBLP · pith_short_8: 4BQ7JJHD

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/4BQ7JJHDMFDXOBLPMNFEOATW4L \
  | 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: e061f4a4e3614777056f634a470276e2c29f096cd3d9d5edbe5c29952d730d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dae90dd0c5f0816cc04f43a291838d2f7820d8d9c46b7ef7adbe1fc4c7acb7c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2021-09-22T03:27:04Z",
    "title_canon_sha256": "17083aab981667b042a96ba4e43d9bcdfabbe76796dd9fe8cc011fbee3474d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10500",
    "kind": "arxiv",
    "version": 1
  }
}