Pith Number

pith:GQZF4BYZ

pith:2013:GQZF4BYZT2FTFHGPBV76EOBX6A

not attested not anchored not stored refs pending

Efficiency Guarantees in Auctions with Budgets

Renato Paes Leme, Shahar Dobzinski

arxiv:1304.7048 v1 · 2013-04-26 · 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{GQZF4BYZT2FTFHGPBV76EOBX6A}

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	2026-05-18T03:27:02.729062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34325e07199e8b329ccf0d7fe23837f015161fedc89f9ba05edd9c018fc4bcf0

Aliases

arxiv: 1304.7048 · arxiv_version: 1304.7048v1 · doi: 10.48550/arxiv.1304.7048 · pith_short_12: GQZF4BYZT2FT · pith_short_16: GQZF4BYZT2FTFHGP · pith_short_8: GQZF4BYZ

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/GQZF4BYZT2FTFHGPBV76EOBX6A \
  | 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: 34325e07199e8b329ccf0d7fe23837f015161fedc89f9ba05edd9c018fc4bcf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f24b45f8a61b0ec99c4b83c148988aacefa1af019972a09d35e5f41cd20793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-04-26T01:29:04Z",
    "title_canon_sha256": "2200665235f982044a4569d97e06cdd2378a4781abc471fab4a9e116f2051245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7048",
    "kind": "arxiv",
    "version": 1
  }
}