Pith Number

pith:SPGPJFHQ

pith:2018:SPGPJFHQOS6EPFDT44DSCEH4AK

not attested not anchored not stored refs pending

Optimal (and Benchmark-Optimal) Competition Complexity for Additive Buyers over Independent Items

Hedyeh Beyhaghi, S. Matthew Weinberg

arxiv:1812.01794 v1 · 2018-12-05 · 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{SPGPJFHQOS6EPFDT44DSCEH4AK}

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	2026-05-17T23:59:00.617526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ccf494f074bc479473e7072110fc029880ce2c3dd0f6939041d3393f340217

Aliases

arxiv: 1812.01794 · arxiv_version: 1812.01794v1 · doi: 10.48550/arxiv.1812.01794 · pith_short_12: SPGPJFHQOS6E · pith_short_16: SPGPJFHQOS6EPFDT · pith_short_8: SPGPJFHQ

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/SPGPJFHQOS6EPFDT44DSCEH4AK \
  | 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: 93ccf494f074bc479473e7072110fc029880ce2c3dd0f6939041d3393f340217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b7cdb342fa660767da7dd7a3279e0ebc595ce9e47a1c08d5602d046284b21b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-12-05T03:05:01Z",
    "title_canon_sha256": "0c9abd4f3b3794f2a803fc1d93c3add07b901a720a4202ad574e8d95d8ce8f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01794",
    "kind": "arxiv",
    "version": 1
  }
}