Pith Number

pith:6NS35DHT

pith:2026:6NS35DHTZ7SV5TETKX5AP77AZW

not attested not anchored not stored refs pending

Beyond Sufficiency: Time Series Explanation with Counterfactual Necessity

Hongnan Ma, Mengyue Yang, Weiru Liu, Yiwei Shi

arxiv:2607.21573 v1 · 2026-07-23 · cs.LG · 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{6NS35DHTZ7SV5TETKX5AP77AZW}

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	2026-07-24T01:24:40.815245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f365be8cf3cfe55ecc9355fa07ffe0cd9e47b271b80c908adf9db2f1baefc29d

Aliases

arxiv: 2607.21573 · arxiv_version: 2607.21573v1 · doi: 10.48550/arxiv.2607.21573 · pith_short_12: 6NS35DHTZ7SV · pith_short_16: 6NS35DHTZ7SV5TET · pith_short_8: 6NS35DHT

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/6NS35DHTZ7SV5TETKX5AP77AZW \
  | 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: f365be8cf3cfe55ecc9355fa07ffe0cd9e47b271b80c908adf9db2f1baefc29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d2a4b7cd4c75b3bb93dbf21d7b9b7ebcc76eb105ddf6b9f4829c1ac819e57d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-23T17:52:01Z",
    "title_canon_sha256": "ae189e8f05b1c9c845154ae57c9c860816b5bc8f4d4956271c8ef060328e51a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21573",
    "kind": "arxiv",
    "version": 1
  }
}