Pith Number

pith:3HKWL4OM

pith:2022:3HKWL4OMOV4FBDSB4N36BCBE7S

not attested not anchored not stored refs pending

Self-Supervised Pretraining of Graph Neural Network for the Retrieval of Related Mathematical Expressions in Scientific Articles

Katharina Morik, Lukas Pfahler

arxiv:2209.00446 v1 · 2022-08-22 · cs.IR · 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{3HKWL4OMOV4FBDSB4N36BCBE7S}

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	2026-07-05T04:53:49.581539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d565f1cc7578508e41e377e08824fc9c8114a5720821d15b8526eca80fdeb2

Aliases

arxiv: 2209.00446 · arxiv_version: 2209.00446v1 · doi: 10.48550/arxiv.2209.00446 · pith_short_12: 3HKWL4OMOV4F · pith_short_16: 3HKWL4OMOV4FBDSB · pith_short_8: 3HKWL4OM

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/3HKWL4OMOV4FBDSB4N36BCBE7S \
  | 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: d9d565f1cc7578508e41e377e08824fc9c8114a5720821d15b8526eca80fdeb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57039984c40d64b597d0443a7350c1081c7d844951e02169ab46e2f8533f8fb1",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2022-08-22T12:11:30Z",
    "title_canon_sha256": "e8fa76088f9cc42902f7cd5b7e43a3870488543230dbd7f492e21b29b27fd57f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00446",
    "kind": "arxiv",
    "version": 1
  }
}