Pith Number

pith:JPCGI2B4

pith:2010:JPCGI2B4F2IOWHWTTUJJ2OSG43

not attested not anchored not stored refs pending

Multi-Unit Auctions: Beyond Roberts

Noam Nisan, Shahar Dobzinski

arxiv:1004.1449 v2 · 2010-04-09 · 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{JPCGI2B4F2IOWHWTTUJJ2OSG43}

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	2026-05-18T02:24:16.891482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc464683c2e90eb1ed39d129d3a46e6cd80dd91159e7308ad175ba17b593246

Aliases

arxiv: 1004.1449 · arxiv_version: 1004.1449v2 · doi: 10.48550/arxiv.1004.1449 · pith_short_12: JPCGI2B4F2IO · pith_short_16: JPCGI2B4F2IOWHWT · pith_short_8: JPCGI2B4

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/JPCGI2B4F2IOWHWTTUJJ2OSG43 \
  | 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: 4bc464683c2e90eb1ed39d129d3a46e6cd80dd91159e7308ad175ba17b593246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aed7c26c52dd2475fc662b019527f9087376e8dadcd68a6dd2ed6939d664f0a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-04-09T02:22:26Z",
    "title_canon_sha256": "787c62adb92748593bff722a6f473af2204b76e06904bfed1c2b18f0fde0be43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1449",
    "kind": "arxiv",
    "version": 2
  }
}