Pith Number

pith:ZC4MC4GK

pith:2019:ZC4MC4GKD35PJHREMADJULMWLH

not attested not anchored not stored refs pending

Probably Approximately Correct Nash Equilibrium Learning

Filiberto Fele, Kostas Margellos

arxiv:1903.10387 v4 · 2019-03-25 · math.OC · 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{ZC4MC4GKD35PJHREMADJULMWLH}

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	2026-06-04T20:14:17.426113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b8c170ca1efaf49e2460069a2d9659f1cfb773c09f823507173efbcf8ece82

Aliases

arxiv: 1903.10387 · arxiv_version: 1903.10387v4 · doi: 10.48550/arxiv.1903.10387 · pith_short_12: ZC4MC4GKD35P · pith_short_16: ZC4MC4GKD35PJHRE · pith_short_8: ZC4MC4GK

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/ZC4MC4GKD35PJHREMADJULMWLH \
  | 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: c8b8c170ca1efaf49e2460069a2d9659f1cfb773c09f823507173efbcf8ece82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a99adf0cd23d12b7c2d2b8ace8f436a015d6d984ce377f7deae99768ba989aa",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-25T15:09:10Z",
    "title_canon_sha256": "8ba0835f70307f97f9bd666109fce7ad2589c394209d202d4721a9c7d2f19330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10387",
    "kind": "arxiv",
    "version": 4
  }
}