Pith Number

pith:Q3I3UR3A

pith:2015:Q3I3UR3AE53XAMIQPRFDXXWF4L

not attested not anchored not stored refs pending

Causal inference via algebraic geometry: feasibility tests for functional causal structures with two binary observed variables

Ciar\'an M. Lee, Robert W. Spekkens

arxiv:1506.03880 v2 · 2015-06-12 · stat.ML · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3I3UR3AE53XAMIQPRFDXXWF4L}

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	2026-05-18T00:32:45.047724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d1ba476027777031107c4a3bdec5e2d41ee751d72f5ad9a4eb82328a5a2caf

Aliases

arxiv: 1506.03880 · arxiv_version: 1506.03880v2 · doi: 10.48550/arxiv.1506.03880 · pith_short_12: Q3I3UR3AE53X · pith_short_16: Q3I3UR3AE53XAMIQ · pith_short_8: Q3I3UR3A

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/Q3I3UR3AE53XAMIQPRFDXXWF4L \
  | 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: 86d1ba476027777031107c4a3bdec5e2d41ee751d72f5ad9a4eb82328a5a2caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2220bbec13a5eb13d6d678bb0400a3d9331266b83fe40708c63e2a3fa99a861",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-06-12T00:51:44Z",
    "title_canon_sha256": "0474a85b2ba061aa2a95592127820bf7afe41ac0b29a08f0209a90f10cf4f947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03880",
    "kind": "arxiv",
    "version": 2
  }
}