Pith Number

pith:HCDJINK7

pith:2026:HCDJINK73R7HR3C6WQ6466ZTUL

not attested not anchored not stored refs pending

Optimal Macroitem Sequences in the Precedence Constrained Knapsack Problem

Fabio Furini, Marco Locatelli, Valerio Dose

arxiv:2606.22018 v1 · 2026-06-20 · math.OC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCDJINK73R7HR3C6WQ6466ZTUL}

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	2026-06-23T02:13:05.684088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

388694355fdc7e78ec5eb43dcf7b33a2d14a9d06c6c1422729ffbf9aa1c1717c

Aliases

arxiv: 2606.22018 · arxiv_version: 2606.22018v1 · doi: 10.48550/arxiv.2606.22018 · pith_short_12: HCDJINK73R7H · pith_short_16: HCDJINK73R7HR3C6 · pith_short_8: HCDJINK7

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/HCDJINK73R7HR3C6WQ6466ZTUL \
  | 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: 388694355fdc7e78ec5eb43dcf7b33a2d14a9d06c6c1422729ffbf9aa1c1717c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7a44de7fb7d136de662dec4b11b95dde124888271259ff3c4a81702857d88e",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-20T12:45:22Z",
    "title_canon_sha256": "2428bd6907feac9e7018fbb803680becfbf29a6114c4ce3548301de290269266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22018",
    "kind": "arxiv",
    "version": 1
  }
}