Pith Number

pith:F4NYQX77

pith:2026:F4NYQX77PVQOV5OLUUIRDVJI77

not attested not anchored not stored refs pending

A Geometric View of Counterfactual Behavior: Interaction of Boundary Proximity and Local Support

Ioanna Gemou, Matteo Gamba, Randall Balestriero, Ritambhara Singh

arxiv:2606.04209 v1 · 2026-06-02 · 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{F4NYQX77PVQOV5OLUUIRDVJI77}

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	2026-06-04T01:08:58.608172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1b885fff7d60eaf5cba51111d528ffdff93cf3cac35190a29daaa30fcdbc32

Aliases

arxiv: 2606.04209 · arxiv_version: 2606.04209v1 · doi: 10.48550/arxiv.2606.04209 · pith_short_12: F4NYQX77PVQO · pith_short_16: F4NYQX77PVQOV5OL · pith_short_8: F4NYQX77

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/F4NYQX77PVQOV5OLUUIRDVJI77 \
  | 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: 2f1b885fff7d60eaf5cba51111d528ffdff93cf3cac35190a29daaa30fcdbc32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c6d8c26daa23fe1fde73ce471ed108f143b5a9514716b9547679d4e66a0560",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-02T20:55:29Z",
    "title_canon_sha256": "95615465a6bd8510c40e0cb76da897b13aed6e027303901eeb468350c34b54e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04209",
    "kind": "arxiv",
    "version": 1
  }
}