Pith Number

pith:666QDZ7U

pith:2011:666QDZ7U6ZLYNKRY6SEIM4YCU3

not attested not anchored not stored refs pending

From Convex Optimization to Randomized Mechanisms: Toward Optimal Combinatorial Auctions

Qiqi Yan, Shaddin Dughmi, Tim Roughgarden

arxiv:1103.0040 v3 · 2011-02-28 · cs.GT · 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{666QDZ7U6ZLYNKRY6SEIM4YCU3}

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	2026-05-18T04:24:05.875088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7bd01e7f4f65786aa38f488867302a6dd40a171d7ec77b176906646408fbe87

Aliases

arxiv: 1103.0040 · arxiv_version: 1103.0040v3 · doi: 10.48550/arxiv.1103.0040 · pith_short_12: 666QDZ7U6ZLY · pith_short_16: 666QDZ7U6ZLYNKRY · pith_short_8: 666QDZ7U

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/666QDZ7U6ZLYNKRY6SEIM4YCU3 \
  | 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: f7bd01e7f4f65786aa38f488867302a6dd40a171d7ec77b176906646408fbe87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b188dd7abf57b8c79135aaefb4678a3ac5d680beb7d3f340f405941cc22e5a",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-02-28T22:18:01Z",
    "title_canon_sha256": "bdce53516eef8e6c8572d46ce072ddc7f0d4ec86efe74a49b394d611a21b2384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0040",
    "kind": "arxiv",
    "version": 3
  }
}