Pith Number

pith:WXBEBHI3

pith:2025:WXBEBHI33PLJHBZMTYPHSYY7OI

not attested not anchored not stored refs pending

Operator-Theoretic Methods for Differential Games

Adam R. Gerlach, Adam T. Rupe, Alexander Von Moll, Craig Bakker

arxiv:2507.02203 v1 · 2025-07-02 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXBEBHI33PLJHBZMTYPHSYY7OI}

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	2026-07-05T11:31:13.755050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c2409d1bdbd693872c9e1e79631f7227e546dc153cfd15b4c2504419ef7d6a

Aliases

arxiv: 2507.02203 · arxiv_version: 2507.02203v1 · doi: 10.48550/arxiv.2507.02203 · pith_short_12: WXBEBHI33PLJ · pith_short_16: WXBEBHI33PLJHBZM · pith_short_8: WXBEBHI3

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/WXBEBHI33PLJHBZMTYPHSYY7OI \
  | 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: b5c2409d1bdbd693872c9e1e79631f7227e546dc153cfd15b4c2504419ef7d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2304c6825869f86b6db4340c2bf5cb75fea54ab8470cbb199d515cfe5b943e00",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-02T23:50:45Z",
    "title_canon_sha256": "3d2c69a2b8e101cc439b3764787fda94782165e0e484eb823cd19d18d7e9e84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02203",
    "kind": "arxiv",
    "version": 1
  }
}