Pith Number

pith:4QLQLY4E

pith:2026:4QLQLY4EKHCKCEIR453Q2EBOZN

not attested not anchored not stored refs pending

Integrated Learning and Robust Optimization

Cheng Tan, Huan Xu, Shuming Wang, Yuchen Mao

arxiv:2608.08718 v1 · 2026-08-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QLQLY4EKHCKCEIR453Q2EBOZN}

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	2026-08-11T01:25:08.408134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41705e38451c4a11111e7770d102ecb59943e292d4796574dfffb7b557454a0

Aliases

arxiv: 2608.08718 · arxiv_version: 2608.08718v1 · doi: 10.48550/arxiv.2608.08718 · pith_short_12: 4QLQLY4EKHCK · pith_short_16: 4QLQLY4EKHCKCEIR · pith_short_8: 4QLQLY4E

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/4QLQLY4EKHCKCEIR453Q2EBOZN \
  | 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: e41705e38451c4a11111e7770d102ecb59943e292d4796574dfffb7b557454a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3214172465eacf406721e05cb4872d5e82e4572405d4ba31e1544c8df46fea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-09T14:01:05Z",
    "title_canon_sha256": "49a15e76318023471e3a56cc47c9c9a56918157497b5c344349021020e8c0856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08718",
    "kind": "arxiv",
    "version": 1
  }
}