Pith Number

pith:XIKXTZGU

pith:2010:XIKXTZGUZ6WMDVSJ6ITBFLKKVC

not attested not anchored not stored refs pending

Unique equilibria and substitution effects in a stochastic model of the marriage market

Benjamin K. Stephens, Colin Decker, Elliott H. Lieb, Robert J. McCann

arxiv:1012.1904 v2 · 2010-12-09 · 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{XIKXTZGUZ6WMDVSJ6ITBFLKKVC}

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	2026-05-18T04:14:07.935259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1579e4d4cfacc1d649f22612ad4aa88497791d28e2f73f48cf0ab1870a17b9

Aliases

arxiv: 1012.1904 · arxiv_version: 1012.1904v2 · doi: 10.48550/arxiv.1012.1904 · pith_short_12: XIKXTZGUZ6WM · pith_short_16: XIKXTZGUZ6WMDVSJ · pith_short_8: XIKXTZGU

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/XIKXTZGUZ6WMDVSJ6ITBFLKKVC \
  | 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: ba1579e4d4cfacc1d649f22612ad4aa88497791d28e2f73f48cf0ab1870a17b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb3710c084667f2d2c6faa39f72181f61a4632d997e194fcf6a3294572f3695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-09T00:56:55Z",
    "title_canon_sha256": "df774103c13d6fc5f535ec6b7074ab7ab0f977f91911bf89f9ed899aa8fe991c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1904",
    "kind": "arxiv",
    "version": 2
  }
}