Pith Number

pith:OCHYWM3L

pith:2024:OCHYWM3L3I2LEAHT3NK6UPIBZC

not attested not anchored not stored refs pending

Towards Fair Graph Neural Networks via Graph Counterfactual without Sensitive Attributes

Liang Chang, Tianlong Gu, Xuemin Wang, Xuguang Bao

arxiv:2412.09947 v1 · 2024-12-13 · 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{OCHYWM3L3I2LEAHT3NK6UPIBZC}

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	2026-07-05T09:48:44.289010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708f8b336bda34b200f3db55ea3d01c88dcf626e41435a7e502bf7af1d714e77

Aliases

arxiv: 2412.09947 · arxiv_version: 2412.09947v1 · doi: 10.48550/arxiv.2412.09947 · pith_short_12: OCHYWM3L3I2L · pith_short_16: OCHYWM3L3I2LEAHT · pith_short_8: OCHYWM3L

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/OCHYWM3L3I2LEAHT3NK6UPIBZC \
  | 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: 708f8b336bda34b200f3db55ea3d01c88dcf626e41435a7e502bf7af1d714e77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04af3ae388043be57124da74e76dce2f1f1d2e9f8e41adbd2072ae4c9519df72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-13T08:11:40Z",
    "title_canon_sha256": "d14580feb7e2c3357108dec9db0889fc312c968e5d799f61c89489533d5fed5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09947",
    "kind": "arxiv",
    "version": 1
  }
}