Pith Number

pith:V7FDK4LL

pith:2016:V7FDK4LL7OUZZQ2RNGOH7GPM5N

not attested not anchored not stored refs pending

Computing Equilibria in Markets with Budget-Additive Utilities

Jugal Garg, Kurt Mehlhorn, Martin Hoefer, Xiaohui Bei

arxiv:1603.07210 v2 · 2016-03-23 · cs.GT · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7FDK4LL7OUZZQ2RNGOH7GPM5N}

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	2026-05-18T01:15:57.357999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afca35716bfba99cc351699c7f99eceb5216cdcf585aa41151096bb219ff69a4

Aliases

arxiv: 1603.07210 · arxiv_version: 1603.07210v2 · doi: 10.48550/arxiv.1603.07210 · pith_short_12: V7FDK4LL7OUZ · pith_short_16: V7FDK4LL7OUZZQ2R · pith_short_8: V7FDK4LL

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/V7FDK4LL7OUZZQ2RNGOH7GPM5N \
  | 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: afca35716bfba99cc351699c7f99eceb5216cdcf585aa41151096bb219ff69a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c801805c75762103522b267633e9962321967f4c3d152b75c63f3c84db2236",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-03-23T14:53:44Z",
    "title_canon_sha256": "34bd1bc2021aca9e2ff6fed0fe2a2e1b311555e0d93c0cf4067811094f9dbdea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07210",
    "kind": "arxiv",
    "version": 2
  }
}