Pith Number

pith:DDW36YRH

pith:2013:DDW36YRHHLNE2YK6F5E43Q7TOW

not attested not anchored not stored refs pending

The Complexity of Fairness through Equilibrium

Abraham Othman, Aviad Rubinstein, Christos Papadimitriou

arxiv:1312.6249 v3 · 2013-12-21 · 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{DDW36YRHHLNE2YK6F5E43Q7TOW}

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	2026-05-18T02:41:18.729261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18edbf62273ada4d615e2f49cdc3f37584b7ba154b1f2cedbabdbf6c0a3babf1

Aliases

arxiv: 1312.6249 · arxiv_version: 1312.6249v3 · doi: 10.48550/arxiv.1312.6249 · pith_short_12: DDW36YRHHLNE · pith_short_16: DDW36YRHHLNE2YK6 · pith_short_8: DDW36YRH

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/DDW36YRHHLNE2YK6F5E43Q7TOW \
  | 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: 18edbf62273ada4d615e2f49cdc3f37584b7ba154b1f2cedbabdbf6c0a3babf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9c31c6114efc47dd77c4c6a824017ae68278291c2882516f70720f620fdcad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-12-21T13:09:10Z",
    "title_canon_sha256": "a782303444f0be57ebd1387744000d716dd07e68b4953a043c079e25fbd6db79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6249",
    "kind": "arxiv",
    "version": 3
  }
}