Pith Number

pith:JCZC3WXC

pith:2016:JCZC3WXCWJAG7A63XCIHHEWH6U

not attested not anchored not stored refs pending

Nash Social Welfare, Matrix Permanent, and Stable Polynomials

Amin Saberi, Mohit Singh, Nima Anari, Shayan Oveis Gharan

arxiv:1609.07056 v2 · 2016-09-22 · cs.DS · cs.DM · 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{JCZC3WXCWJAG7A63XCIHHEWH6U}

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	2026-05-18T01:04:02.165898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b22ddae2b2406f83dbb8907392c7f52c8eb98c9c2ad74f9c4585a02a7ec52c

Aliases

arxiv: 1609.07056 · arxiv_version: 1609.07056v2 · doi: 10.48550/arxiv.1609.07056 · pith_short_12: JCZC3WXCWJAG · pith_short_16: JCZC3WXCWJAG7A63 · pith_short_8: JCZC3WXC

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/JCZC3WXCWJAG7A63XCIHHEWH6U \
  | 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: 48b22ddae2b2406f83dbb8907392c7f52c8eb98c9c2ad74f9c4585a02a7ec52c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72a569238980dca27d55d38ea3df7d3e22a486b7754eebbbba4c912f0fa5830",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-09-22T16:35:59Z",
    "title_canon_sha256": "b3afad9cb5e7237b9ce3bb0596c48a334fd84f142900a0687d2755ba1207f18c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07056",
    "kind": "arxiv",
    "version": 2
  }
}