Pith Number

pith:22IQETSZ

pith:2024:22IQETSZNSIQIOFJW4LOLNBXCZ

not attested not anchored not stored refs pending

Social Optima in Linear Quadratic Graphon Field Control: Analysis via Infinite Dimensional Approach

De-xuan Xu, Nan-jing Huang, Zhun Gou

arxiv:2412.19082 v1 · 2024-12-26 · 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{22IQETSZNSIQIOFJW4LOLNBXCZ}

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	2026-07-05T09:54:15.967556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d691024e596c910438a9b716e5b437165282aeef34a5af3bd26a5c466cca1aaa

Aliases

arxiv: 2412.19082 · arxiv_version: 2412.19082v1 · doi: 10.48550/arxiv.2412.19082 · pith_short_12: 22IQETSZNSIQ · pith_short_16: 22IQETSZNSIQIOFJ · pith_short_8: 22IQETSZ

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/22IQETSZNSIQIOFJW4LOLNBXCZ \
  | 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: d691024e596c910438a9b716e5b437165282aeef34a5af3bd26a5c466cca1aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed57ade853546f27d58bb5b09d1d35d1d332b81f4c357ad0465c44c5e47c05eb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-26T06:46:19Z",
    "title_canon_sha256": "cd5c5cb2f3358f9d9c7fa6819f751ff112e7cb5288c8299b72864b5e05543aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19082",
    "kind": "arxiv",
    "version": 1
  }
}