Pith Number

pith:MIS2WKB3

pith:2011:MIS2WKB3LKURA6LBXJ5W2M4YFJ

not attested not anchored not stored refs pending

Competitive Auctions for Markets with Positive Externalities

Nick Gravin, Pinyan Lu

arxiv:1107.5221 v1 · 2011-07-26 · 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{MIS2WKB3LKURA6LBXJ5W2M4YFJ}

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	2026-05-18T04:16:52.706606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6225ab283b5aa9107961ba7b6d33982a4758ea688221ea8b2af9abf47d33b546

Aliases

arxiv: 1107.5221 · arxiv_version: 1107.5221v1 · doi: 10.48550/arxiv.1107.5221 · pith_short_12: MIS2WKB3LKUR · pith_short_16: MIS2WKB3LKURA6LB · pith_short_8: MIS2WKB3

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/MIS2WKB3LKURA6LBXJ5W2M4YFJ \
  | 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: 6225ab283b5aa9107961ba7b6d33982a4758ea688221ea8b2af9abf47d33b546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1e5e7340d03b4911afdfecfdcf5019edb8ff63634873f85fcffdbe61139f91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-07-26T14:29:39Z",
    "title_canon_sha256": "7d24be7ccc80e714548ac914c2e75ab012a018b136ed8773a7b33ce52f35750c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5221",
    "kind": "arxiv",
    "version": 1
  }
}