Pith Number

pith:W57SHXGZ

pith:2012:W57SHXGZ3SSIDUCQMPHDLUDHTY

not attested not anchored not stored refs pending

Bounding the inefficiency of outcomes in generalized second price auctions

Brendan Lucier, Christos Kaklamanis, \'Eva Tardos, Ioannis Caragiannis, Maria Kyropoulou, Panagiotis Kanellopoulos, Renato Paes Leme

arxiv:1201.6429 v2 · 2012-01-31 · 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{W57SHXGZ3SSIDUCQMPHDLUDHTY}

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	2026-05-18T02:53:17.804970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77f23dcd9dca481d05063ce35d0679e29471af9e7ae42dc5214c098f2bde69d

Aliases

arxiv: 1201.6429 · arxiv_version: 1201.6429v2 · doi: 10.48550/arxiv.1201.6429 · pith_short_12: W57SHXGZ3SSI · pith_short_16: W57SHXGZ3SSIDUCQ · pith_short_8: W57SHXGZ

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/W57SHXGZ3SSIDUCQMPHDLUDHTY \
  | 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: b77f23dcd9dca481d05063ce35d0679e29471af9e7ae42dc5214c098f2bde69d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f9ad032654a838d734c4afb6d6103fa57ce22e5e930de357b5102bcc2e67a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-01-31T03:36:26Z",
    "title_canon_sha256": "463bdacc8aab3cb4196525acc6e210efd82993bb532968e975472cab76a0f547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6429",
    "kind": "arxiv",
    "version": 2
  }
}