Pith Number

pith:F3ZDV6MS

pith:2022:F3ZDV6MSLKWJP56YWVXQYF5KX4

not attested not anchored not stored refs pending

Differentiable Economics for Randomized Affine Maximizer Auctions

John Dickerson, Michael Curry, Tuomas Sandholm

arxiv:2202.02872 v1 · 2022-02-06 · cs.GT · cs.LG · econ.GN · q-fin.EC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3ZDV6MSLKWJP56YWVXQYF5KX4}

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.

Cited by

1 paper in Pith

Duality for Optimal Multi-Item, Multi-Bidder Auction Design: Revenue Certificates through Deep Learning

Receipt and verification

First computed	2026-07-05T03:54:33.705012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef23af9925aac97f7d8b56f0c17aabf2b1ffe081a13ce04b605ab7f8345f7e8

Aliases

arxiv: 2202.02872 · arxiv_version: 2202.02872v1 · doi: 10.48550/arxiv.2202.02872 · pith_short_12: F3ZDV6MSLKWJ · pith_short_16: F3ZDV6MSLKWJP56Y · pith_short_8: F3ZDV6MS

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/F3ZDV6MSLKWJP56YWVXQYF5KX4 \
  | 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: 2ef23af9925aac97f7d8b56f0c17aabf2b1ffe081a13ce04b605ab7f8345f7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20980691b829c5c830b98f20363849928984ad8e40f31fa1e5432e6ca08427a",
    "cross_cats_sorted": [
      "cs.LG",
      "econ.GN",
      "q-fin.EC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-02-06T22:01:21Z",
    "title_canon_sha256": "c17c52698ec1d94c6cada50ad7895a7e38e63edd1899d914fdce26dc4e548d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.02872",
    "kind": "arxiv",
    "version": 1
  }
}