Pith Number

pith:P7TOEY4F

pith:2024:P7TOEY4FUFEX5TVQV2LMBDGCTB

not attested not anchored not stored refs pending

The EDGE Language: Extended General Einsums for Graph Algorithms

Joel S. Emer, John D. Owens, Michael Pellauer, Nandeeka Nayak, Serban D. Porumbescu, Toluwanimi O. Odemuyiwa

The EDGE language expresses graph algorithms as extended Einsum tensor expressions.

arxiv:2404.11591 v3 · 2024-04-17 · cs.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{P7TOEY4FUFEX5TVQV2LMBDGCTB}

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.

Claims

C1strongest claim

The EDGE language expresses graph algorithms in the language of tensor algebra, providing a rigorous, succinct, and expressive mathematical framework that allows researchers to more easily compare algorithms, factor complexity, and discover variants through algebraic manipulations.

C2weakest assumption

That the proposed extensions to Einsum notation are sufficient to capture the complex operations common in graph algorithms without losing expressivity or requiring ad-hoc additions beyond those described.

C3one line summary

EDGE extends Einsum notation with graph-specific operations to create a unified tensor-algebra framework for expressing and manipulating graph algorithms.

Cited by

2 papers in Pith

Fast and Fusiest: An Optimal Fusion-Aware Mapper for Accelerator Design

Mambalaya: Einsum-Based Fusion Optimizations on State-Space Models

Receipt and verification

First computed	2026-05-28T01:04:24.144189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe6e26385a1497eceb0ae96c08cc2985081775c3c47b1901fbe6134701b8697

Aliases

arxiv: 2404.11591 · arxiv_version: 2404.11591v3 · doi: 10.48550/arxiv.2404.11591 · pith_short_12: P7TOEY4FUFEX · pith_short_16: P7TOEY4FUFEX5TVQ · pith_short_8: P7TOEY4F

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/P7TOEY4FUFEX5TVQV2LMBDGCTB \
  | 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: 7fe6e26385a1497eceb0ae96c08cc2985081775c3c47b1901fbe6134701b8697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81922fc0f85b2a1a040995d09616706e81f8ccb8a2e501110806d344ec8b46b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-04-17T17:42:48Z",
    "title_canon_sha256": "c9eec3f6c868d89624caeaa006e04c2a86e6311054098952b2d4177f1af78345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11591",
    "kind": "arxiv",
    "version": 3
  }
}