Pith Number

pith:AYTYRPDX

pith:2026:AYTYRPDX27NDBDOQJDZTL5R6X4

not attested not anchored not stored refs pending

Communication-efficient parallel Bruhat decomposition

Alexander Tiskin, Ioanna Evtushevskaya-Konovalova

arxiv:2608.07724 v1 · 2026-08-07 · cs.DS · 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{AYTYRPDX27NDBDOQJDZTL5R6X4}

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	2026-08-11T00:15:47.300060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062788bc77d7da308dd048f335f63ebf0449c3b34b6d1969cbeb0671598bfaf9

Aliases

arxiv: 2608.07724 · arxiv_version: 2608.07724v1 · doi: 10.48550/arxiv.2608.07724 · pith_short_12: AYTYRPDX27ND · pith_short_16: AYTYRPDX27NDBDOQ · pith_short_8: AYTYRPDX

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/AYTYRPDX27NDBDOQJDZTL5R6X4 \
  | 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: 062788bc77d7da308dd048f335f63ebf0449c3b34b6d1969cbeb0671598bfaf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87f8b7dd95aff32fa32c10ea9d80ae345f9b7c3147d778f55589e6967210b031",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-08-07T19:28:37Z",
    "title_canon_sha256": "9d6b52f39e1a3bf00a280975994e3f9b34952112a009e9fdf211a134f22b6bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07724",
    "kind": "arxiv",
    "version": 1
  }
}