Pith Number

pith:64TBYPDO

pith:2026:64TBYPDOMCCHWUGDSEF7PBCSWB

not attested not anchored not stored refs pending

Generating Input Distributions for Explaining Portfolio Optimization Pipelines

Batuhan Ata\c{s}, \c{S}. \.Ilker Birbil, E. Mehmet K{\i}ral, Nur\c{s}en Ayd{\i}n

arxiv:2606.25808 v1 · 2026-06-24 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64TBYPDOMCCHWUGDSEF7PBCSWB}

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	2026-06-25T01:18:39.994238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7261c3c6e60847b50c3910bf78452b05317aa6dd55a2ea4cd7c2f01627bf98b

Aliases

arxiv: 2606.25808 · arxiv_version: 2606.25808v1 · doi: 10.48550/arxiv.2606.25808 · pith_short_12: 64TBYPDOMCCH · pith_short_16: 64TBYPDOMCCHWUGD · pith_short_8: 64TBYPDO

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/64TBYPDOMCCHWUGDSEF7PBCSWB \
  | 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: f7261c3c6e60847b50c3910bf78452b05317aa6dd55a2ea4cd7c2f01627bf98b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69ac69b71363c5b86b1d0eafad23a0df3bb5926d5cc6693b18249b9602cbfea",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-24T13:23:19Z",
    "title_canon_sha256": "90183c8cb1e22c6373d72ee1e3b0d8746d77900e7417adec15ec38aecaace58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25808",
    "kind": "arxiv",
    "version": 1
  }
}