Pith Number

pith:BOGGZTZK

pith:2021:BOGGZTZKRWR7RW3GZDHYAJAJK3

not attested not anchored not stored refs pending

Learning Mixed-Integer Linear Programs from Contextual Examples

Luc De Raedt, Mohit Kumar, Samuel Kolb, Stefano Teso

arxiv:2107.07136 v1 · 2021-07-15 · 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{BOGGZTZKRWR7RW3GZDHYAJAJK3}

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	2026-07-05T02:58:11.210377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8c6ccf2a8da3f8db66c8cf80240956eb3d08217d74d1116e4c121d3b456876

Aliases

arxiv: 2107.07136 · arxiv_version: 2107.07136v1 · doi: 10.48550/arxiv.2107.07136 · pith_short_12: BOGGZTZKRWR7 · pith_short_16: BOGGZTZKRWR7RW3G · pith_short_8: BOGGZTZK

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/BOGGZTZKRWR7RW3GZDHYAJAJK3 \
  | 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: 0b8c6ccf2a8da3f8db66c8cf80240956eb3d08217d74d1116e4c121d3b456876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94b22ac4057b69a750cffb919a0ff3274fee20f9d8029fae95f80b2df40c9fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2021-07-15T05:45:52Z",
    "title_canon_sha256": "1b3be9cb5a7a8b3c94cc278bcb6e053be414deb9e6d6982be6161be23b685b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07136",
    "kind": "arxiv",
    "version": 1
  }
}