Pith Number

pith:MQATEGZB

pith:2026:MQATEGZBI3BQFQZVB4KIPFSZJH

not attested not anchored not stored refs pending

Heuristic approaches for solving a bilevel optimistic scheduling problem on parallel machines

DIGEP), Federico Della Croce (DIGEP), Olivier Ploton (LIFAT), Quentin Schau (LIFAT, Vincent t'Kindt (LIFAT)

arxiv:2605.19760 v1 · 2026-05-19 · 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{MQATEGZBI3BQFQZVB4KIPFSZJH}

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	2026-05-20T01:06:12.437567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6401321b2146c302c3350f1487965949c190b7b5edbd5e949374c188837126c5

Aliases

arxiv: 2605.19760 · arxiv_version: 2605.19760v1 · doi: 10.48550/arxiv.2605.19760 · pith_short_12: MQATEGZBI3BQ · pith_short_16: MQATEGZBI3BQFQZV · pith_short_8: MQATEGZB

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/MQATEGZBI3BQFQZVB4KIPFSZJH \
  | 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: 6401321b2146c302c3350f1487965949c190b7b5edbd5e949374c188837126c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e3a58729baad37911675329b0fcaa864c79018d60d3175d4c1243529f5915d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-19T12:36:50Z",
    "title_canon_sha256": "f4a4769bd2f05633b184e03aeccc7028298f09e69f283d1f3e31ffbf1f7ba128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19760",
    "kind": "arxiv",
    "version": 1
  }
}