Pith Number

pith:CO3TL5RW

pith:2013:CO3TL5RWLNAIT6XX5QTMDF3P4Q

not attested not anchored not stored refs pending

Paradoxes in Social Networks with Multiple Products

Evangelos Markakis, Krzysztof R. Apt, Sunil Simon

arxiv:1301.7592 v2 · 2013-01-31 · cs.GT · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CO3TL5RWLNAIT6XX5QTMDF3P4Q}

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	2026-05-18T03:24:41.405106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b735f6365b4089faf7ec26c1976fe41ff3c77ec3843f465706e86bf6266807

Aliases

arxiv: 1301.7592 · arxiv_version: 1301.7592v2 · doi: 10.48550/arxiv.1301.7592 · pith_short_12: CO3TL5RWLNAI · pith_short_16: CO3TL5RWLNAIT6XX · pith_short_8: CO3TL5RW

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/CO3TL5RWLNAIT6XX5QTMDF3P4Q \
  | 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: 13b735f6365b4089faf7ec26c1976fe41ff3c77ec3843f465706e86bf6266807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9dd593bcbfa6dbb691d30b6574b2c8346f9e21abbba04edd67a9d7b821b023c",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-01-31T12:31:05Z",
    "title_canon_sha256": "54a7a30cb0fc20e64cf765886e9e92538c431e91bd5fdfb775d39868b1df5a9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7592",
    "kind": "arxiv",
    "version": 2
  }
}