Pith Number

pith:J44S5NRP

pith:2015:J44S5NRP7QRFGNQEXHNGJZ6HFS

not attested not anchored not stored refs pending

Ad auctions and cascade model: GSP inefficiency and algorithms

Gabriele Farina, Nicola Gatti

arxiv:1511.07397 v1 · 2015-11-23 · 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{J44S5NRP7QRFGNQEXHNGJZ6HFS}

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	2026-05-18T01:26:11.501773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f392eb62ffc22533604b9da64e7c72ca9ade7fc3c8beb211a817260c2394a8f

Aliases

arxiv: 1511.07397 · arxiv_version: 1511.07397v1 · doi: 10.48550/arxiv.1511.07397 · pith_short_12: J44S5NRP7QRF · pith_short_16: J44S5NRP7QRFGNQE · pith_short_8: J44S5NRP

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/J44S5NRP7QRFGNQEXHNGJZ6HFS \
  | 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: 4f392eb62ffc22533604b9da64e7c72ca9ade7fc3c8beb211a817260c2394a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4df2f8693e78b721c22c9384c300ccd842aebc672914338c655cdf341490a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-11-23T20:19:55Z",
    "title_canon_sha256": "0880a831a018d3bb47ad17d5718d939f6ad5ca47fc25b21e28bd479da65e3657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07397",
    "kind": "arxiv",
    "version": 1
  }
}