Pith Number

pith:NAJCOS6H

pith:2012:NAJCOS6HPEWUWS6VPNMCMDA5IR

not attested not anchored not stored refs pending

On the Hardness of Welfare Maximization in Combinatorial Auctions with Submodular Valuations

Jan Vondrak, Shahar Dobzinski

arxiv:1202.2792 v1 · 2012-02-13 · cs.DS · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAJCOS6HPEWUWS6VPNMCMDA5IR}

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	2026-05-18T02:21:17.883305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6812274bc7792d4b4bd57b58260c1d446571c6bf6098b55ba05dad3cdae680b8

Aliases

arxiv: 1202.2792 · arxiv_version: 1202.2792v1 · doi: 10.48550/arxiv.1202.2792 · pith_short_12: NAJCOS6HPEWU · pith_short_16: NAJCOS6HPEWUWS6V · pith_short_8: NAJCOS6H

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/NAJCOS6HPEWUWS6VPNMCMDA5IR \
  | 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: 6812274bc7792d4b4bd57b58260c1d446571c6bf6098b55ba05dad3cdae680b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0454d44914243ab34df310d750cf7d566c9ec2040829b7389ad2f1abb2370739",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-02-13T17:09:58Z",
    "title_canon_sha256": "a248fdd281fe4830bb130b981b75881c030bd4d7edd250db97dc94b390e180a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2792",
    "kind": "arxiv",
    "version": 1
  }
}