Pith Number

pith:JZFPHBXZ

pith:2018:JZFPHBXZVFL2BQPFLEIOPGWU2K

not attested not anchored not stored refs pending

Walrasian Equilibrium and Centralized Distributed Optimization from the point of view of Modern Convex Optimization Methods on the Example of Resource Allocation Problem

Alexander Gasnikov, Anastasiya Ivanova, Evgeni Nurminski, Evgeniya Vorontsova

arxiv:1806.09071 v5 · 2018-06-24 · 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{JZFPHBXZVFL2BQPFLEIOPGWU2K}

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	2026-07-05T00:50:42.102052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4af386f9a957a0c1e55910e79ad4d2a5f0f2fdcba1a5d7735a973755b1a3a7

Aliases

arxiv: 1806.09071 · arxiv_version: 1806.09071v5 · doi: 10.48550/arxiv.1806.09071 · pith_short_12: JZFPHBXZVFL2 · pith_short_16: JZFPHBXZVFL2BQPF · pith_short_8: JZFPHBXZ

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/JZFPHBXZVFL2BQPFLEIOPGWU2K \
  | 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: 4e4af386f9a957a0c1e55910e79ad4d2a5f0f2fdcba1a5d7735a973755b1a3a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f640a1cebf393fe83acac70f5a5552d632808e4e718557b75063a839a7c9e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-24T02:52:55Z",
    "title_canon_sha256": "0b78339c1c80b17219f965e734dc6d10e54bb876653ec1d2f1123486f3902083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09071",
    "kind": "arxiv",
    "version": 5
  }
}