Pith Number

pith:MASJ5C7N

pith:2017:MASJ5C7NEI6ODQ6SDGZDG637BY

not attested not anchored not stored refs pending

A set optimization approach to zero-sum matrix games with multi-dimensional payoffs

Andreas H. Hamel, Andreas Loehne

arxiv:1701.08514 v1 · 2017-01-30 · 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{MASJ5C7NEI6ODQ6SDGZDG637BY}

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	2026-05-18T00:51:53.865101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60249e8bed223ce1c3d219b2337b7f0e1c92e8ac443b06f5966276680370d631

Aliases

arxiv: 1701.08514 · arxiv_version: 1701.08514v1 · doi: 10.48550/arxiv.1701.08514 · pith_short_12: MASJ5C7NEI6O · pith_short_16: MASJ5C7NEI6ODQ6S · pith_short_8: MASJ5C7N

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/MASJ5C7NEI6ODQ6SDGZDG637BY \
  | 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: 60249e8bed223ce1c3d219b2337b7f0e1c92e8ac443b06f5966276680370d631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f798b284196c185184e3f25df81ba404d519c7396ba7549ea8bf513745f65eb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-30T08:51:35Z",
    "title_canon_sha256": "f25216b2c1e9c7ac23488e37a1686a26514d9052ffdd71f96d710db3138c5ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08514",
    "kind": "arxiv",
    "version": 1
  }
}