Pith Number

pith:UQ7ZN3EC

pith:2019:UQ7ZN3ECZXKTWKQU4WJCK7BYR5

not attested not anchored not stored refs pending

Proportional Dynamics in Exchange Economies

Nikhil R. Devanur, Simina Br\^anzei, Yuval Rabani

arxiv:1907.05037 v3 · 2019-07-11 · cs.GT · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQ7ZN3ECZXKTWKQU4WJCK7BYR5}

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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.

Cited by

1 paper in Pith

Auction Algorithms for Market Equilibrium with Weak Gross Substitute Demands

Receipt and verification

First computed	2026-07-05T06:49:38.489954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a43f96ec82cdd53b2a14e592257c388f52e10c2537c56d5ee1c11bb33740b953

Aliases

arxiv: 1907.05037 · arxiv_version: 1907.05037v3 · doi: 10.48550/arxiv.1907.05037 · pith_short_12: UQ7ZN3ECZXKT · pith_short_16: UQ7ZN3ECZXKTWKQU · pith_short_8: UQ7ZN3EC

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/UQ7ZN3ECZXKTWKQU4WJCK7BYR5 \
  | 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: a43f96ec82cdd53b2a14e592257c388f52e10c2537c56d5ee1c11bb33740b953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e65bf17e72f7f5e823818119db1d03b73d603dcb5be6a36d615c8b11bec5f3",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-07-11T08:10:06Z",
    "title_canon_sha256": "95422284c3a19b8dfe1613591f2b49abe88740ac4893239cce51b7f1a471b31f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05037",
    "kind": "arxiv",
    "version": 3
  }
}