Pith Number

pith:IJNUXR6S

pith:2025:IJNUXR6SWZONBSTTEZWLIMRLPE

not attested not anchored not stored refs pending

Convergence to equilibrium for a class of exchange economies

R.S.MacKay

arxiv:2506.11770 v1 · 2025-06-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJNUXR6SWZONBSTTEZWLIMRLPE}

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.

Cited by

1 paper in Pith

Thermal Macroeconomics: An axiomatic theory of aggregate economic phenomena

Receipt and verification

First computed	2026-07-05T11:21:10.494439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

425b4bc7d2b65cd0ca73266cb4322b79258325e2833e2dcfa73ac151842d11a1

Aliases

arxiv: 2506.11770 · arxiv_version: 2506.11770v1 · doi: 10.48550/arxiv.2506.11770 · pith_short_12: IJNUXR6SWZON · pith_short_16: IJNUXR6SWZONBSTT · pith_short_8: IJNUXR6S

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/IJNUXR6SWZONBSTTEZWLIMRLPE \
  | 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: 425b4bc7d2b65cd0ca73266cb4322b79258325e2833e2dcfa73ac151842d11a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a449b60f3ec1b0f05356ea7fb9f7c181ee2245113e7e690f3ac79dd7c76193bc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-13T13:27:22Z",
    "title_canon_sha256": "ded8ab68db09b268b9a7984e49de3b501eccba3d6bb244c6102d4154c5597f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11770",
    "kind": "arxiv",
    "version": 1
  }
}