Pith Number

pith:WRXPO5M3

pith:2010:WRXPO5M3NDI4XA32IUX5E4HPOH

not attested not anchored not stored refs pending

Exchangeable equilibria contradict exactness of the Papadimitriou-Roughgarden algorithm

Asuman Ozdaglar, Noah D. Stein, Pablo A. Parrilo

arxiv:1010.2871 v2 · 2010-10-14 · cs.GT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRXPO5M3NDI4XA32IUX5E4HPOH}

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	2026-05-18T04:38:50.167284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46ef7759b68d1cb837a452fd270ef71c35970012b2b1c62e6166f3c7d38f95a

Aliases

arxiv: 1010.2871 · arxiv_version: 1010.2871v2 · doi: 10.48550/arxiv.1010.2871 · pith_short_12: WRXPO5M3NDI4 · pith_short_16: WRXPO5M3NDI4XA32 · pith_short_8: WRXPO5M3

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/WRXPO5M3NDI4XA32IUX5E4HPOH \
  | 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: b46ef7759b68d1cb837a452fd270ef71c35970012b2b1c62e6166f3c7d38f95a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125bfa9c666b272832ae700adb8aa76c2f422824d762349949fa3caa5dae3ee9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-10-14T10:02:59Z",
    "title_canon_sha256": "86a78d26801c089d6a6fa317ccea2af0d85bcd98024ff753ad9bf7f421e15a51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2871",
    "kind": "arxiv",
    "version": 2
  }
}