Pith Number

pith:ZJPUPMZX

pith:2005:ZJPUPMZXH3BG3BIKABGT7KLGE2

not attested not anchored not stored refs pending

A Market Test for the Positivity of Arrow-Debreu Prices

Alexandre d'Aspremont

arxiv:cs/0510027 v2 · 2005-10-11 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJPUPMZXH3BG3BIKABGT7KLGE2}

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	2026-07-04T14:51:05.930822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5f47b3373ec26d850a004d3fa96626bcb958b32fd970333feda7062a8e957c

Aliases

arxiv: cs/0510027 · arxiv_version: cs/0510027v2 · doi: 10.48550/arxiv.cs/0510027 · pith_short_12: ZJPUPMZXH3BG · pith_short_16: ZJPUPMZXH3BG3BIK · pith_short_8: ZJPUPMZX

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/ZJPUPMZXH3BG3BIKABGT7KLGE2 \
  | 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: ca5f47b3373ec26d850a004d3fa96626bcb958b32fd970333feda7062a8e957c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6583106058b662f9d5b8ed32b3730d884b67d32f20140b9fd00aa265bbaa7064",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.CE",
    "submitted_at": "2005-10-11T13:40:17Z",
    "title_canon_sha256": "683431678d1fa26b452cba4432df361e364257ebf51e78f2a13001ba1b93c362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0510027",
    "kind": "arxiv",
    "version": 2
  }
}