Pith Number

pith:2RVS4TZJ

pith:2015:2RVS4TZJZ7Y2XN2R4TFDZYVRUY

not attested not anchored not stored refs pending

Liquid Price of Anarchy

Alan Roytman, Michal Feldman, Nick Gravin, Yossi Azar

arxiv:1511.01132 v1 · 2015-11-03 · 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{2RVS4TZJZ7Y2XN2R4TFDZYVRUY}

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	2026-05-18T01:27:48.003632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46b2e4f29cff1abb751e4ca3ce2b1a63dedf2e10d84b3bc15f38493c668c6fb

Aliases

arxiv: 1511.01132 · arxiv_version: 1511.01132v1 · doi: 10.48550/arxiv.1511.01132 · pith_short_12: 2RVS4TZJZ7Y2 · pith_short_16: 2RVS4TZJZ7Y2XN2R · pith_short_8: 2RVS4TZJ

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/2RVS4TZJZ7Y2XN2R4TFDZYVRUY \
  | 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: d46b2e4f29cff1abb751e4ca3ce2b1a63dedf2e10d84b3bc15f38493c668c6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f3ae41242c4eaa432e0f61497bc3a927f9713b13b3567f8d6b86d525ff953f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-11-03T21:58:05Z",
    "title_canon_sha256": "eb115851847e44f0722514f1fe62c99de6a7408e3ced3ddc9715fe34f974fa3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01132",
    "kind": "arxiv",
    "version": 1
  }
}