Pith Number

pith:NTMKJIHM

pith:2026:NTMKJIHM7PAMMSR4D6R2BO555P

not attested not anchored not stored refs pending

Robust Chance Constrained Complex Zero-Sum Games

Abdel Lisser (L2S), Raneem Madani (L2S), Zeno Toffano (L2S)

arxiv:2605.20212 v1 · 2026-04-23 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTMKJIHM7PAMMSR4D6R2BO555P}

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	2026-05-21T00:04:21.306656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd8a4a0ecfbc0c64a3c1fa3a0bbbdebdf5f42d2d2c5e846375005cb853e463f

Aliases

arxiv: 2605.20212 · arxiv_version: 2605.20212v1 · doi: 10.48550/arxiv.2605.20212 · pith_short_12: NTMKJIHM7PAM · pith_short_16: NTMKJIHM7PAMMSR4 · pith_short_8: NTMKJIHM

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/NTMKJIHM7PAMMSR4D6R2BO555P \
  | 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: 6cd8a4a0ecfbc0c64a3c1fa3a0bbbdebdf5f42d2d2c5e846375005cb853e463f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a014876e3b569cb4edb4005e9754a59d44ad65d680b2c2e680b4a1ec1565d25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-04-23T08:13:13Z",
    "title_canon_sha256": "7b48322d92ced3e57940b7ddf8f70aabe8a8fb88fc6be4bf25cb78787bdbdd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20212",
    "kind": "arxiv",
    "version": 1
  }
}