Pith Number

pith:KAOUXHT5

pith:2025:KAOUXHT5J5DOTW7KMS3NMFEZST

not attested not anchored not stored refs pending

Mean field social optimization: feedback person-by-person optimality and the dynamic programming equation

Li-Hsien Sun, Minyi Huang, Shuenn-Jyi Sheu

arxiv:2508.14236 v2 · 2025-08-19 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAOUXHT5J5DOTW7KMS3NMFEZST}

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	2026-05-20T00:04:12.615163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501d4b9e7d4f46e9dbea64b6d6149994d3e804b511d2e487ee938efb1117fe73

Aliases

arxiv: 2508.14236 · arxiv_version: 2508.14236v2 · doi: 10.48550/arxiv.2508.14236 · pith_short_12: KAOUXHT5J5DO · pith_short_16: KAOUXHT5J5DOTW7K · pith_short_8: KAOUXHT5

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/KAOUXHT5J5DOTW7KMS3NMFEZST \
  | 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: 501d4b9e7d4f46e9dbea64b6d6149994d3e804b511d2e487ee938efb1117fe73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e26987b74a038b86c1da42a672c014ba4ba5626446e41ebe43ea5d641d8e71",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-19T19:54:28Z",
    "title_canon_sha256": "78c39c3917b8e513ceadc6252ef7c39274c3f0f687c78bef7efa9176bfa74a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14236",
    "kind": "arxiv",
    "version": 2
  }
}