Pith Number

pith:C4PT5JOQ

pith:2019:C4PT5JOQSVDFRUEF2DQMGKUZXN

not attested not anchored not stored refs pending

Markov perfect equilibria in non-stationary mean-field games

Deepanshu Vasal

arxiv:1905.04154 v2 · 2019-05-10 · cs.GT · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4PT5JOQSVDFRUEF2DQMGKUZXN}

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	2026-06-04T20:14:29.885216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171f3ea5d0954658d085d0e0c32a99bb5b8aa64a2213ceac8b400f8cae07b56e

Aliases

arxiv: 1905.04154 · arxiv_version: 1905.04154v2 · doi: 10.48550/arxiv.1905.04154 · pith_short_12: C4PT5JOQSVDF · pith_short_16: C4PT5JOQSVDFRUEF · pith_short_8: C4PT5JOQ

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/C4PT5JOQSVDFRUEF2DQMGKUZXN \
  | 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: 171f3ea5d0954658d085d0e0c32a99bb5b8aa64a2213ceac8b400f8cae07b56e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2af2e28fe17dcb25502ce689695d7414f5f561b66bbd2eb6d6be4f6d085ae1",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-05-10T13:15:06Z",
    "title_canon_sha256": "2b51a5b13b7c6506c6d0b468a430c1e4136f5ce7ec5f53d877ce0b033d0d65d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04154",
    "kind": "arxiv",
    "version": 2
  }
}