Pith Number

pith:MKZLCVUK

pith:2011:MKZLCVUKAWMV63AVQYU5VEZP56

not attested not anchored not stored refs pending

Optimal Pricing in Networks with Externalities

Asuman Ozdaglar, Kostas Bimpikis, Ozan Candogan

arxiv:1101.5617 v1 · 2011-01-28 · cs.GT · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKZLCVUKAWMV63AVQYU5VEZP56}

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	2026-05-18T04:30:34.656229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b2b1568a05995f6c158629da932fefa4471da705bb3da80fb70af389da2e08

Aliases

arxiv: 1101.5617 · arxiv_version: 1101.5617v1 · doi: 10.48550/arxiv.1101.5617 · pith_short_12: MKZLCVUKAWMV · pith_short_16: MKZLCVUKAWMV63AV · pith_short_8: MKZLCVUK

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/MKZLCVUKAWMV63AVQYU5VEZP56 \
  | 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: 62b2b1568a05995f6c158629da932fefa4471da705bb3da80fb70af389da2e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "019d610904fdea7991de156d463133a51ee2ec5302aefd0171f97bc89b5223a4",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-01-28T20:31:42Z",
    "title_canon_sha256": "469f7de0c1d3bd4703b71c55e472b771a133744f1145fd02ab2b306f34edf091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5617",
    "kind": "arxiv",
    "version": 1
  }
}