Pith Number

pith:44AJJML7

pith:2017:44AJJML7D5RGAGKXO2BVPBGT2A

not attested not anchored not stored refs pending

Bounding the Menu-Size of Approximately Optimal Auctions via Optimal-Transport Duality

Yannai A. Gonczarowski

arxiv:1708.08907 v4 · 2017-08-29 · 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{44AJJML7D5RGAGKXO2BVPBGT2A}

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	2026-05-18T00:11:00.374846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e70094b17f1f6260195776835784d3d026b20a4af9ab5076993e4373352205ee

Aliases

arxiv: 1708.08907 · arxiv_version: 1708.08907v4 · doi: 10.48550/arxiv.1708.08907 · pith_short_12: 44AJJML7D5RG · pith_short_16: 44AJJML7D5RGAGKX · pith_short_8: 44AJJML7

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/44AJJML7D5RGAGKXO2BVPBGT2A \
  | 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: e70094b17f1f6260195776835784d3d026b20a4af9ab5076993e4373352205ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4014fbabd41e25e93ce68a79c04354b69b1b0f590992d92ad31f74767126a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2017-08-29T17:48:59Z",
    "title_canon_sha256": "133885c2fcad7781dfa8cec6af80078b54053198b47afbcf2552bdcc57366818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08907",
    "kind": "arxiv",
    "version": 4
  }
}