Pith Number

pith:7CCMGIFU

pith:2025:7CCMGIFU4BFDBWSNAFWHUGK2FY

not attested not anchored not stored refs pending

Elliptic curves in game theory

Abhiram Kidambi, Elke Neuhaus, Irem Portakal

arxiv:2501.14612 v2 · 2025-01-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CCMGIFU4BFDBWSNAFWHUGK2FY}

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.

Cited by

1 paper in Pith

The GameTheory package for Macaulay2

Receipt and verification

First computed	2026-07-05T11:35:31.804693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f884c320b4e04a30da4d016c7a195a2e2a181b870b20aa076a48c8e10f6c61e5

Aliases

arxiv: 2501.14612 · arxiv_version: 2501.14612v2 · doi: 10.48550/arxiv.2501.14612 · pith_short_12: 7CCMGIFU4BFD · pith_short_16: 7CCMGIFU4BFDBWSN · pith_short_8: 7CCMGIFU

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/7CCMGIFU4BFDBWSNAFWHUGK2FY \
  | 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: f884c320b4e04a30da4d016c7a195a2e2a181b870b20aa076a48c8e10f6c61e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317ae8d6f0a6c7dee3da2f30c53ae258dfd2067868f2abaa602a489b0d59859e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-24T16:32:25Z",
    "title_canon_sha256": "80692e7960eeb6ca268c4ff9a448fcbf12b53d9d1a9ba48fac05489566ff540c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14612",
    "kind": "arxiv",
    "version": 2
  }
}