Pith Number

pith:QDXRAO4S

pith:2013:QDXRAO4SDHUUIPBY2QFGP5QVKN

not attested not anchored not stored refs pending

Combinatorial Walrasian Equilibrium

Brendan Lucier, Michal Feldman, Nick Gravin

arxiv:1304.2244 v1 · 2013-04-08 · 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{QDXRAO4SDHUUIPBY2QFGP5QVKN}

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	2026-05-18T03:28:43.605375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80ef103b9219e9443c38d40a67f6155360490ff9fea242838746f0039f3ec637

Aliases

arxiv: 1304.2244 · arxiv_version: 1304.2244v1 · doi: 10.48550/arxiv.1304.2244 · pith_short_12: QDXRAO4SDHUU · pith_short_16: QDXRAO4SDHUUIPBY · pith_short_8: QDXRAO4S

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/QDXRAO4SDHUUIPBY2QFGP5QVKN \
  | 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: 80ef103b9219e9443c38d40a67f6155360490ff9fea242838746f0039f3ec637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1cd27b597522baba2f332d6c749dac6311174a64d5d998bda73c7b80e30f4e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-04-08T15:49:19Z",
    "title_canon_sha256": "5dc4a3b0953444065cf5626dc46a6b6c642e73202f7e34c271f65df65ec64d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2244",
    "kind": "arxiv",
    "version": 1
  }
}