Pith Number

pith:SJJ3OVD2

pith:2016:SJJ3OVD24D2KMT3SDFBOP7MISL

not attested not anchored not stored refs pending

The Competition Complexity of Auctions: A Bulow-Klemperer Result for Multi-Dimensional Bidders

Alon Eden, Inbal Talgam-Cohen, Michal Feldman, Ophir Friedler, S. Matthew Weinberg

arxiv:1612.08821 v1 · 2016-12-28 · 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{SJJ3OVD24D2KMT3SDFBOP7MISL}

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	2026-05-18T00:53:47.088426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9253b7547ae0f4a64f721942e7fd8892c565f0f8110ab052bb7a4b5ecba44539

Aliases

arxiv: 1612.08821 · arxiv_version: 1612.08821v1 · doi: 10.48550/arxiv.1612.08821 · pith_short_12: SJJ3OVD24D2K · pith_short_16: SJJ3OVD24D2KMT3S · pith_short_8: SJJ3OVD2

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/SJJ3OVD24D2KMT3SDFBOP7MISL \
  | 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: 9253b7547ae0f4a64f721942e7fd8892c565f0f8110ab052bb7a4b5ecba44539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0db7d69b68f38d62769979f0a7f24de69a537f3cb983c2e0dd868588288f79e",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-12-28T08:09:29Z",
    "title_canon_sha256": "d86defb32efa97c0369f0aad92e8d626d34939528e431de14049e3fff804c1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08821",
    "kind": "arxiv",
    "version": 1
  }
}