Pith Number

pith:RSDHWVZN

pith:2026:RSDHWVZNM5TIHMYS73GL2HMPH4

not attested not anchored not stored refs pending

Second-Order Potentials for Finite Games: Existence, Characterisation, and Game Decomposition

Robert P. Gilles

arxiv:2608.01967 v1 · 2026-08-03 · cs.GT · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSDHWVZNM5TIHMYS73GL2HMPH4}

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	2026-08-04T02:10:18.828309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c867b572d676683b312feccbd1d8f3f2633a2bec3a3b95e87cff1ffb7c1a210

Aliases

arxiv: 2608.01967 · arxiv_version: 2608.01967v1 · doi: 10.48550/arxiv.2608.01967 · pith_short_12: RSDHWVZNM5TI · pith_short_16: RSDHWVZNM5TIHMYS · pith_short_8: RSDHWVZN

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/RSDHWVZNM5TIHMYS73GL2HMPH4 \
  | 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: 8c867b572d676683b312feccbd1d8f3f2633a2bec3a3b95e87cff1ffb7c1a210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3774eecf07709f4c89a4b092aceabf5ac06d566b4c2f7a19a4fd632d9777322",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-08-03T09:34:50Z",
    "title_canon_sha256": "b2e19c630ca9d3dfee411b7e78292eeff7cd6ccc1798646dbc4d24b2e1edc0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01967",
    "kind": "arxiv",
    "version": 1
  }
}