Pith Number

pith:HKRRMO5D

pith:2012:HKRRMO5DBPIUOY77ZU2DOIR4Q4

not attested not anchored not stored refs pending

A stability result for balanced dictatorships in $S_{n}$

David Ellis, Ehud Friedgut, Yuval Filmus

arxiv:1210.3989 v4 · 2012-10-15 · 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{HKRRMO5DBPIUOY77ZU2DOIR4Q4}

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	2026-05-18T00:41:13.486054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aa3163ba30bd14763ffcd3437223c873ea4b2439b1ea528793fa8b41736c490

Aliases

arxiv: 1210.3989 · arxiv_version: 1210.3989v4 · doi: 10.48550/arxiv.1210.3989 · pith_short_12: HKRRMO5DBPIU · pith_short_16: HKRRMO5DBPIUOY77 · pith_short_8: HKRRMO5D

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/HKRRMO5DBPIUOY77ZU2DOIR4Q4 \
  | 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: 3aa3163ba30bd14763ffcd3437223c873ea4b2439b1ea528793fa8b41736c490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09cb136ddc720484215a256768eac60f61f6c2954ae293b458f07b1fdf1637b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-15T11:52:45Z",
    "title_canon_sha256": "1785506c9c40e7a7a63edbd7fa13d1f63f399a8e453fd294dbd7d7d0a7d5fe7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3989",
    "kind": "arxiv",
    "version": 4
  }
}