Pith Number

pith:4OQQ6WXP

pith:2016:4OQQ6WXP4IMRZDCR534GYM6QSK

not attested not anchored not stored refs pending

Competitive Equilibria for Non-quasilinear Bidders in Combinatorial Auctions

Christopher Wilkens, Rad Niazadeh

arxiv:1606.06846 v1 · 2016-06-22 · 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{4OQQ6WXP4IMRZDCR534GYM6QSK}

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	2026-05-18T01:12:00.998927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a10f5aefe2191c8c51eef86c33d092b4136f03dc7779db87c873a0e9e8b5a8

Aliases

arxiv: 1606.06846 · arxiv_version: 1606.06846v1 · doi: 10.48550/arxiv.1606.06846 · pith_short_12: 4OQQ6WXP4IMR · pith_short_16: 4OQQ6WXP4IMRZDCR · pith_short_8: 4OQQ6WXP

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/4OQQ6WXP4IMRZDCR534GYM6QSK \
  | 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: e3a10f5aefe2191c8c51eef86c33d092b4136f03dc7779db87c873a0e9e8b5a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b169002aae3e102b8186cb7813151a1aa5703530799f2520d6dd28c4bafb1d0",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-06-22T08:24:07Z",
    "title_canon_sha256": "b98adbbd76fe3d7b27540a9f12cc437cc2d7f1e72514be558a5705d31085a364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06846",
    "kind": "arxiv",
    "version": 1
  }
}