Pith Number

pith:B4RG6DYR

pith:2026:B4RG6DYRA3OGGWHWVB572RXDV4

not attested not anchored not stored refs pending

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

David C. Parkes, Tonghan Wang, Yanchen Jiang

arxiv:2606.10112 v1 · 2026-06-08 · cs.GT · cs.AI · cs.LG · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4RG6DYRA3OGGWHWVB572RXDV4}

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	2026-06-10T01:08:54.843540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f226f0f1106dc6358f6a87bfd46e3af355d766c516dd84cd75dbcdcb435b084

Aliases

arxiv: 2606.10112 · arxiv_version: 2606.10112v1 · doi: 10.48550/arxiv.2606.10112 · pith_short_12: B4RG6DYRA3OG · pith_short_16: B4RG6DYRA3OGGWHW · pith_short_8: B4RG6DYR

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/B4RG6DYRA3OGGWHWVB572RXDV4 \
  | 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: 0f226f0f1106dc6358f6a87bfd46e3af355d766c516dd84cd75dbcdcb435b084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "957b2b0565ea9a8a4741d04a0d496bbfd5a47db12da18c9e32bce77e0c68c402",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-08T19:42:01Z",
    "title_canon_sha256": "08aa51e8f291b7d4a71bf031844370f49a7cbc6485a16de43948fe85c26c78d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10112",
    "kind": "arxiv",
    "version": 1
  }
}