Pith Number

pith:APWMW2VR

pith:2026:APWMW2VRHPREGDT56UYQ5MIUJ5

not attested not anchored not stored refs pending

PCCL: Process Group-Aware Scalable and Generic Collective Algorithm Synthesizer

Kartik Lakhotia, Madhu Kumar, Sudarshan Srinivasan, Tushar Krishna, William Won

arxiv:2606.07019 v1 · 2026-06-05 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APWMW2VRHPREGDT56UYQ5MIUJ5}

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	2026-06-08T01:04:41.604669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03eccb6ab13be2430e7df5310eb1144f53e7625bc750a9be8a82e25b883d45c0

Aliases

arxiv: 2606.07019 · arxiv_version: 2606.07019v1 · doi: 10.48550/arxiv.2606.07019 · pith_short_12: APWMW2VRHPRE · pith_short_16: APWMW2VRHPREGDT5 · pith_short_8: APWMW2VR

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/APWMW2VRHPREGDT56UYQ5MIUJ5 \
  | 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: 03eccb6ab13be2430e7df5310eb1144f53e7625bc750a9be8a82e25b883d45c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20000fd55c02a373364400992a4f37f9b7e40253a376f09104792c67f8a3b27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2026-06-05T08:08:56Z",
    "title_canon_sha256": "c8f0fc35f04b88dd4563a372ea53508e7cfda7d020429a8954fdf3be2a092d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07019",
    "kind": "arxiv",
    "version": 1
  }
}