Pith Number

pith:G3FAZZAH

pith:2013:G3FAZZAHGAJU2M7XARSDZ3SLZW

not attested not anchored not stored refs pending

On the Stability of Generalized Second Price Auctions with Budgets

Evangelos Markakis, Ioannis Giotis, Josep Diaz, Lefteris Kirousis, Maria Serna

arxiv:1309.6474 v2 · 2013-09-25 · 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{G3FAZZAHGAJU2M7XARSDZ3SLZW}

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	2026-05-18T03:12:11.071591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36ca0ce40730134d33f704643cee4bcdb1df712c911ead3edaae4e81eedf4314

Aliases

arxiv: 1309.6474 · arxiv_version: 1309.6474v2 · doi: 10.48550/arxiv.1309.6474 · pith_short_12: G3FAZZAHGAJU · pith_short_16: G3FAZZAHGAJU2M7X · pith_short_8: G3FAZZAH

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/G3FAZZAHGAJU2M7XARSDZ3SLZW \
  | 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: 36ca0ce40730134d33f704643cee4bcdb1df712c911ead3edaae4e81eedf4314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f32318dd62855287c73d7860f2b7b6fcc43ff23ff9c290ea2e75c375759a7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-09-25T12:05:12Z",
    "title_canon_sha256": "e911f7eef65a376747c67cca783476254a4569722785e1d20baea2bf94b568fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6474",
    "kind": "arxiv",
    "version": 2
  }
}