Pith Number

pith:M2QQH6TZ

pith:2026:M2QQH6TZSXZ7TDJPVJWAASM4L6

not attested not anchored not stored refs pending

Submodular Welfare Maximization with Budget Constraints in the Random-Order Model

Martin Knaack, Max Klimm

arxiv:2606.22520 v1 · 2026-06-21 · 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{M2QQH6TZSXZ7TDJPVJWAASM4L6}

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	2026-06-23T02:13:40.702820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a103fa7995f3f98d2faa6c00499c5fb30eed529f1bc4ea907ca999b76ac78f

Aliases

arxiv: 2606.22520 · arxiv_version: 2606.22520v1 · doi: 10.48550/arxiv.2606.22520 · pith_short_12: M2QQH6TZSXZ7 · pith_short_16: M2QQH6TZSXZ7TDJP · pith_short_8: M2QQH6TZ

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/M2QQH6TZSXZ7TDJPVJWAASM4L6 \
  | 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: 66a103fa7995f3f98d2faa6c00499c5fb30eed529f1bc4ea907ca999b76ac78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c227bd46e186573b6a85f7febb0fb193df4dcbe7eb68a55b50ab91c24dbdb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-21T14:19:48Z",
    "title_canon_sha256": "fbe02e13a41c5f0548ea5268d83329ddd183a79e63d131cca689f455839cafbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22520",
    "kind": "arxiv",
    "version": 1
  }
}