Pith Number

pith:QRNXAULU

pith:2016:QRNXAULUKE4WTAELEAKPYROIZK

not attested not anchored not stored refs pending

Continuity of Equilibria for Two-Person Zero-Sum Games with Noncompact Action Sets and Unbounded Payoffs

Eugene A. Feinberg, Michael Z. Zgurovsky, Pavlo O. Kasyanov

arxiv:1609.03990 v3 · 2016-09-13 · 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{QRNXAULUKE4WTAELEAKPYROIZK}

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	2026-05-18T00:35:18.527778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845b705174513969808b2014fc45c8caaa354f08284add6fd4c4014fdc40b0ae

Aliases

arxiv: 1609.03990 · arxiv_version: 1609.03990v3 · doi: 10.48550/arxiv.1609.03990 · pith_short_12: QRNXAULUKE4W · pith_short_16: QRNXAULUKE4WTAEL · pith_short_8: QRNXAULU

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/QRNXAULUKE4WTAELEAKPYROIZK \
  | 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: 845b705174513969808b2014fc45c8caaa354f08284add6fd4c4014fdc40b0ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d2ae8797cfb136b61c6e51a9b78c52fdc67d7e3a3cecb77c4f95adaeb12b04c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-13T19:32:31Z",
    "title_canon_sha256": "52bb44734549a24b796635f7b4a381b06b7537c332638132453226b02ce45a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03990",
    "kind": "arxiv",
    "version": 3
  }
}