Pith Number

pith:2PPGFEJJ

pith:2013:2PPGFEJJQSJ4IFJZACZIOGTK4T

not attested not anchored not stored refs pending

On the Efficiency of the Walrasian Mechanism

Brendan Lucier, Moshe Babaioff, Noam Nisan, Renato Paes Leme

arxiv:1311.0924 v1 · 2013-11-04 · 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{2PPGFEJJQSJ4IFJZACZIOGTK4T}

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	2026-05-18T03:07:56.054484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3de6291298493c4153900b2871a6ae4c29ccecd199454081ada0d04b1f22afd

Aliases

arxiv: 1311.0924 · arxiv_version: 1311.0924v1 · doi: 10.48550/arxiv.1311.0924 · pith_short_12: 2PPGFEJJQSJ4 · pith_short_16: 2PPGFEJJQSJ4IFJZ · pith_short_8: 2PPGFEJJ

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/2PPGFEJJQSJ4IFJZACZIOGTK4T \
  | 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: d3de6291298493c4153900b2871a6ae4c29ccecd199454081ada0d04b1f22afd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8001b7c12e0736a5131e4728f6a01851e0116e5f5fccf97f7209c5e62104c13a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-11-04T23:21:11Z",
    "title_canon_sha256": "70afa6f89ecb4205044ba7b36ae9cefd91ca15bd8891d4f2fee2359131bcc053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0924",
    "kind": "arxiv",
    "version": 1
  }
}