Pith Number

pith:MMBEJTDG

pith:2017:MMBEJTDG6PY7OWVAJNOHN4JRH7

not attested not anchored not stored refs pending

A Simply Exponential Upper Bound on the Maximum Number of Stable Matchings

Anna R. Karlin, Robbie Weber, Shayan Oveis Gharan

arxiv:1711.01032 v2 · 2017-11-03 · cs.DM · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMBEJTDG6PY7OWVAJNOHN4JRH7}

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	2026-05-18T00:30:57.170832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630244cc66f3f1f75aa04b5c76f1313fd3987d3cdaba6f46532ba536f87410c3

Aliases

arxiv: 1711.01032 · arxiv_version: 1711.01032v2 · doi: 10.48550/arxiv.1711.01032 · pith_short_12: MMBEJTDG6PY7 · pith_short_16: MMBEJTDG6PY7OWVA · pith_short_8: MMBEJTDG

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/MMBEJTDG6PY7OWVAJNOHN4JRH7 \
  | 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: 630244cc66f3f1f75aa04b5c76f1313fd3987d3cdaba6f46532ba536f87410c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccee45a79919d2211de4c9f292f36668b511f5e63fc0510ba6581e18ce09f26d",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-11-03T05:55:38Z",
    "title_canon_sha256": "5364cad3bdc56edd464e58ec54557fe63842142e661900b043863d5fe28eaa08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01032",
    "kind": "arxiv",
    "version": 2
  }
}