Pith Number

pith:XUP62YEQ

pith:2015:XUP62YEQKZ6IHUK7JWEFJKPTN2

not attested not anchored not stored refs pending

Regularity for nonlinear stochastic games

Hannes Luiro, Mikko Parviainen

arxiv:1509.07263 v2 · 2015-09-24 · math.AP · 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{XUP62YEQKZ6IHUK7JWEFJKPTN2}

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	2026-05-18T01:09:29.693989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1fed6090567c83d15f4d8854a9f36e869c01a412e126b71a5e151bf87425ad

Aliases

arxiv: 1509.07263 · arxiv_version: 1509.07263v2 · doi: 10.48550/arxiv.1509.07263 · pith_short_12: XUP62YEQKZ6I · pith_short_16: XUP62YEQKZ6IHUK7 · pith_short_8: XUP62YEQ

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/XUP62YEQKZ6IHUK7JWEFJKPTN2 \
  | 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: bd1fed6090567c83d15f4d8854a9f36e869c01a412e126b71a5e151bf87425ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1620e7623833f6b03b65c7b3931c01fb2e1b697bf823398353e2e5978d3d07a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-24T07:39:39Z",
    "title_canon_sha256": "7f721e19e615e9da605bb82d969a593eb40e1b6a346da4658d9ebe78e0219d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07263",
    "kind": "arxiv",
    "version": 2
  }
}