Pith Number

pith:Z24CW52V

pith:2025:Z24CW52VNTDGQ65A4TWKCU4HER

not attested not anchored not stored refs pending

Competition Complexity in Multi-Item Auctions: Beyond VCG and Regularity

Hedyeh Beyhaghi, Linda Cai, S. Matthew Weinberg, Yiding Feng, Yingkai Li

arxiv:2506.09291 v1 · 2025-06-10 · cs.GT · 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{Z24CW52VNTDGQ65A4TWKCU4HER}

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	2026-07-05T11:19:34.298199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb82b77556cc6687ba0e4eca15387245a800e883bc5a9bd15990051ad820f98

Aliases

arxiv: 2506.09291 · arxiv_version: 2506.09291v1 · doi: 10.48550/arxiv.2506.09291 · pith_short_12: Z24CW52VNTDG · pith_short_16: Z24CW52VNTDGQ65A · pith_short_8: Z24CW52V

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/Z24CW52VNTDGQ65A4TWKCU4HER \
  | 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: ceb82b77556cc6687ba0e4eca15387245a800e883bc5a9bd15990051ad820f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d36c582c8f054a38f6f33e52340a4f484bb1462ddf88ec187c737810e6bdcc",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-06-10T22:58:01Z",
    "title_canon_sha256": "a63ded3d71ad9d1fabea773c1ec54cffac3186832fc9cf2fb6575795ba8b1918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09291",
    "kind": "arxiv",
    "version": 1
  }
}