Pith Number

pith:EK3JI6AO

pith:2017:EK3JI6AOIC7X3DF4CHORKSEJ5D

not attested not anchored not stored refs pending

Connections between Mean-Field Game and Social Welfare Optimization

Lin Zhao, Sen Li, Wei Zhang

arxiv:1703.10211 v8 · 2017-03-29 · 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{EK3JI6AOIC7X3DF4CHORKSEJ5D}

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	2026-05-18T00:23:23.337140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b694780e40bf7d8cbc11dd154889e8d542caa844b7263a305c8b23585c0453

Aliases

arxiv: 1703.10211 · arxiv_version: 1703.10211v8 · doi: 10.48550/arxiv.1703.10211 · pith_short_12: EK3JI6AOIC7X · pith_short_16: EK3JI6AOIC7X3DF4 · pith_short_8: EK3JI6AO

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/EK3JI6AOIC7X3DF4CHORKSEJ5D \
  | 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: 22b694780e40bf7d8cbc11dd154889e8d542caa844b7263a305c8b23585c0453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c64ab000f46a6ae564530dbcb13b926344f758fc4d0e8fa82d9004a4b386d777",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-29T19:36:52Z",
    "title_canon_sha256": "dab4cf0ccb8699b3fd8d9c928c21857be4fb4d92405a5de3356d4f6a26112eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10211",
    "kind": "arxiv",
    "version": 8
  }
}