Pith Number

pith:SU3QTJXC

pith:2016:SU3QTJXCGFJ4DIVDVSXEWFZOBF

not attested not anchored not stored refs pending

Nash Social Welfare for Indivisible Items under Separable, Piecewise-Linear Concave Utilities

Nima Anari, Shayan Oveis Gharan, Tung Mai, Vijay V. Vazirani

arxiv:1612.05191 v3 · 2016-12-15 · cs.GT · 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{SU3QTJXCGFJ4DIVDVSXEWFZOBF}

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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	2026-05-18T00:46:51.433183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

953709a6e23153c1a2a3acae4b172e0977e0ab89104b9f7cdc6ef7c461f96c8a

Aliases

arxiv: 1612.05191 · arxiv_version: 1612.05191v3 · doi: 10.48550/arxiv.1612.05191 · pith_short_12: SU3QTJXCGFJ4 · pith_short_16: SU3QTJXCGFJ4DIVD · pith_short_8: SU3QTJXC

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/SU3QTJXCGFJ4DIVDVSXEWFZOBF \
  | 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: 953709a6e23153c1a2a3acae4b172e0977e0ab89104b9f7cdc6ef7c461f96c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c192fe69367d28b2ac61f68ac698255f655edcc47a4541e97ebc762cc928eaad",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-12-15T18:55:27Z",
    "title_canon_sha256": "d802aa795d4c2c8033c733864b77054b00d0ddf1bc10050d0f856ec931c5186c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05191",
    "kind": "arxiv",
    "version": 3
  }
}