Pith Number

pith:6YMNPFKD

pith:2014:6YMNPFKDAPJCBVRZQLVF36EE4A

not attested not anchored not stored refs pending

On the Complexity of Computing an Equilibrium in Combinatorial Auctions

Hu Fu, Robert Kleinberg, Shahar Dobzinski

arxiv:1404.2041 v2 · 2014-04-08 · 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{6YMNPFKDAPJCBVRZQLVF36EE4A}

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	2026-05-18T01:55:43.204289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f618d7954303d220d63982ea5df884e006412a35851b2ba7f4874e55c42867e8

Aliases

arxiv: 1404.2041 · arxiv_version: 1404.2041v2 · doi: 10.48550/arxiv.1404.2041 · pith_short_12: 6YMNPFKDAPJC · pith_short_16: 6YMNPFKDAPJCBVRZ · pith_short_8: 6YMNPFKD

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/6YMNPFKDAPJCBVRZQLVF36EE4A \
  | 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: f618d7954303d220d63982ea5df884e006412a35851b2ba7f4874e55c42867e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86af00ade49a216ac98c5868936fb975bba5a1641a7a0abfdcc84187de777ae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-04-08T08:39:24Z",
    "title_canon_sha256": "56b9e4a227f83c71203ec3dd9ae5768fc47fb88fabc980edece271366d3971ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2041",
    "kind": "arxiv",
    "version": 2
  }
}