Pith Number

pith:VXVMOE6W

pith:2026:VXVMOE6W7VEEU2UBPNGE45GP5J

not attested not anchored not stored refs pending

Social welfare optimisation under institutional reward and punishment

Hai Anh Ha, Huu Loi Bui, Le Hong Trang, Manh Hong Duong, Ngoc Ngu Nguyen, Quang Dung Le, Tan Dat Nguyen, The Anh Han, Van An Nguyen, Vuong Khang Huynh, Zhao Song

arxiv:2605.31330 v1 · 2026-05-29 · cs.GT · cs.AI · cs.MA · math.OC · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXVMOE6W7VEEU2UBPNGE45GP5J}

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	2026-06-01T01:04:12.260652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adeac713d6fd484a6a817b4c4e74cfea7ec072d4f12b81747d84a29e38c9f307

Aliases

arxiv: 2605.31330 · arxiv_version: 2605.31330v1 · doi: 10.48550/arxiv.2605.31330 · pith_short_12: VXVMOE6W7VEE · pith_short_16: VXVMOE6W7VEEU2UB · pith_short_8: VXVMOE6W

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/VXVMOE6W7VEEU2UBPNGE45GP5J \
  | 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: adeac713d6fd484a6a817b4c4e74cfea7ec072d4f12b81747d84a29e38c9f307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2de04ed44bcd0b0f3fa8cc1cfc6142558ec2e44822b021673d30b8ddb486cc",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.MA",
      "math.OC",
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-29T14:04:55Z",
    "title_canon_sha256": "65b2688e6804545a94834aeaa677702310714a46fee638f57612541d2baf56f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31330",
    "kind": "arxiv",
    "version": 1
  }
}