Pith Number

pith:TXVB7ZBE

pith:2026:TXVB7ZBE2GTCHASUQEEBGWVP26

not attested not anchored not stored refs pending

A Better-than-$e^{1/e}$ Approximation Algorithm for Nash Social Welfare under Additive Valuations

Vignesh Viswanathan

arxiv:2607.13340 v1 · 2026-07-14 · cs.GT · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXVB7ZBE2GTCHASUQEEBGWVP26}

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	2026-07-16T00:22:13.137005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dea1fe424d1a62382548108135aafd7891d28dd31dcc189f7190fc8b014f091

Aliases

arxiv: 2607.13340 · arxiv_version: 2607.13340v1 · doi: 10.48550/arxiv.2607.13340 · pith_short_12: TXVB7ZBE2GTC · pith_short_16: TXVB7ZBE2GTCHASU · pith_short_8: TXVB7ZBE

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/TXVB7ZBE2GTCHASUQEEBGWVP26 \
  | 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: 9dea1fe424d1a62382548108135aafd7891d28dd31dcc189f7190fc8b014f091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b5119632a4ee7ec8d01012820ed13e2a30241847869e27b2d1edb993240a16",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-14T23:59:26Z",
    "title_canon_sha256": "459028dac7fe1158baaa5e06a2fafeb48906b9394e447c1fa5b6eb369b8eeea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13340",
    "kind": "arxiv",
    "version": 1
  }
}