Pith Number

pith:5Y3SMBSA

pith:2021:5Y3SMBSACNLE5DST7HKP5CLC4A

not attested not anchored not stored refs pending

Multiple Oracle Algorithm to Solve Continuous Games

T. Kroupa, T. Votroubek

arxiv:2109.04178 v2 · 2021-09-09 · cs.GT · 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{5Y3SMBSACNLE5DST7HKP5CLC4A}

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	2026-07-05T04:38:43.873889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3726064013564e8e53f9d4fe8962e0149a7efc62eb7a8fb76996501f95ce35

Aliases

arxiv: 2109.04178 · arxiv_version: 2109.04178v2 · doi: 10.48550/arxiv.2109.04178 · pith_short_12: 5Y3SMBSACNLE · pith_short_16: 5Y3SMBSACNLE5DST · pith_short_8: 5Y3SMBSA

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/5Y3SMBSACNLE5DST7HKP5CLC4A \
  | 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: ee3726064013564e8e53f9d4fe8962e0149a7efc62eb7a8fb76996501f95ce35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc49ce6ad4248cd37b6af791ddcaaec10df8581313f6650ef44c5c4417e58c7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-09-09T11:31:28Z",
    "title_canon_sha256": "8b9e986383e3b71bc6c8ac7e4044973e4070ac39a3b70904a2ba9063a2679409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04178",
    "kind": "arxiv",
    "version": 2
  }
}