Pith Number

pith:SPU2PLMM

pith:2026:SPU2PLMMGOMYMQTAIRPDKJ2CFP

not attested not anchored not stored refs pending

Beyond Means: Topological Causal Effects under Persistent-Homology Ignorability

Amir Saki, Usef Faghihi

arxiv:2603.14169 v2 · 2026-03-15 · stat.ME · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPU2PLMMGOMYMQTAIRPDKJ2CFP}

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	2026-06-05T01:15:22.977146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e9a7ad8c3399864260445e3527422bdbd56b429c45cb192a82895512286d68

Aliases

arxiv: 2603.14169 · arxiv_version: 2603.14169v2 · doi: 10.48550/arxiv.2603.14169 · pith_short_12: SPU2PLMMGOMY · pith_short_16: SPU2PLMMGOMYMQTA · pith_short_8: SPU2PLMM

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/SPU2PLMMGOMYMQTAIRPDKJ2CFP \
  | 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: 93e9a7ad8c3399864260445e3527422bdbd56b429c45cb192a82895512286d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6dcfcc4230d04b92aa900d437549145df2afb516579ab6adf2f27e9925b921b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-03-15T01:03:32Z",
    "title_canon_sha256": "e16734df48abfbbde05a8cea1f40c9100e24fbb58efc95f4c06b3c53c93bc42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.14169",
    "kind": "arxiv",
    "version": 2
  }
}