Pith Number

pith:B2WH56FO

pith:2026:B2WH56FOPC2CAYCLR6G46AHS3Q

not attested not anchored not stored refs pending

Directional Influence Function: Estimating Training Data Influence in Constrained Learning

R. Tyrrell Rockafellar, Xin Wang, Xuegang (Jeff) Ban

arxiv:2607.23388 v1 · 2026-07-25 · 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{B2WH56FOPC2CAYCLR6G46AHS3Q}

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	2026-07-28T01:22:50.233535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eac7ef8ae78b420604b8f8dcf00f2dc3fc7bce5dc9ae6433ebad6e395d70d6b

Aliases

arxiv: 2607.23388 · arxiv_version: 2607.23388v1 · doi: 10.48550/arxiv.2607.23388 · pith_short_12: B2WH56FOPC2C · pith_short_16: B2WH56FOPC2CAYCL · pith_short_8: B2WH56FO

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/B2WH56FOPC2CAYCLR6G46AHS3Q \
  | 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: 0eac7ef8ae78b420604b8f8dcf00f2dc3fc7bce5dc9ae6433ebad6e395d70d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c427114815c0409beab376c07222424964a68a713e78adeef3ecb529b294d5",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-25T22:50:09Z",
    "title_canon_sha256": "aef69ba6328cb5f975eb13dc62484773cc913ccbeaae5c952f9e1439291b3d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23388",
    "kind": "arxiv",
    "version": 1
  }
}