Pith Number

pith:P2UGUUCT

pith:2016:P2UGUUCTL6LYIQKAJMPLOYLC7S

not attested not anchored not stored refs pending

Gradients of Counterfactuals

Ankur Taly, Mukund Sundararajan, Qiqi Yan

arxiv:1611.02639 v2 · 2016-11-08 · cs.LG · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2UGUUCTL6LYIQKAJMPLOYLC7S}

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	2026-05-18T00:58:50.619747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea86a50535f978441404b1eb76162fcbd1e4419c5709adbac2e3bd3d9746bfc

Aliases

arxiv: 1611.02639 · arxiv_version: 1611.02639v2 · doi: 10.48550/arxiv.1611.02639 · pith_short_12: P2UGUUCTL6LY · pith_short_16: P2UGUUCTL6LYIQKA · pith_short_8: P2UGUUCT

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/P2UGUUCTL6LYIQKAJMPLOYLC7S \
  | 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: 7ea86a50535f978441404b1eb76162fcbd1e4419c5709adbac2e3bd3d9746bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a0bcdca678930d56dcd464c0db44ad2df971dd808ac3a644114bdb1a0c4087",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-11-08T18:10:44Z",
    "title_canon_sha256": "cc507de1b5a8ab70ef7d3e873e29f8ba3bcb0e3f5720d5e9a853f7212663897e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02639",
    "kind": "arxiv",
    "version": 2
  }
}