Pith Number

pith:AR73XD4Y

pith:2021:AR73XD4YMSUJV2AZABMCOOA4RN

not attested not anchored not stored refs pending

HopfE: Knowledge Graph Representation Learning using Inverse Hopf Fibrations

Abhishek Nadgeri, Anson Bastos, Isaiah Onando Mulang, Johannes Hoffart, Kuldeep Singh, Saeedeh Shekarpour

arxiv:2108.05774 v1 · 2021-08-12 · cs.IR · cs.CL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR73XD4YMSUJV2AZABMCOOA4RN}

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	2026-07-05T03:05:17.770160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047fbb8f9864a89ae819005827381c8b6426ad0843d364d6f1cfca6cf5d4ecf7

Aliases

arxiv: 2108.05774 · arxiv_version: 2108.05774v1 · doi: 10.48550/arxiv.2108.05774 · pith_short_12: AR73XD4YMSUJ · pith_short_16: AR73XD4YMSUJV2AZ · pith_short_8: AR73XD4Y

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/AR73XD4YMSUJV2AZABMCOOA4RN \
  | 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: 047fbb8f9864a89ae819005827381c8b6426ad0843d364d6f1cfca6cf5d4ecf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac788f78ca8f639dd1f9e43fcf814570fff8b1ec427fdfd67a961dc60a44d9c",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2021-08-12T14:34:02Z",
    "title_canon_sha256": "30aa1897f824989fd6f7b53c3e3c2f144de04eddb6adfd46cf10d393d1d4e98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.05774",
    "kind": "arxiv",
    "version": 1
  }
}