Pith Number

pith:BBZCER55

pith:2026:BBZCER552AZJLAAOZQZP6NQXIG

not attested not anchored not stored refs pending

MACRO: Markov Chain Routing of Transformer Layers

Abtin Pourhadi, Akylgali Aitaza, Paul Swoboda, Pawe{\l} Batorski, Przemys{\l}aw Spurek

arxiv:2608.05872 v1 · 2026-08-06 · cs.CL · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBZCER552AZJLAAOZQZP6NQXIG}

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	2026-08-07T00:53:10.847869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08722247bdd03295800ecc32ff361741a2a4785077676e7707a02cf81b5cd479

Aliases

arxiv: 2608.05872 · arxiv_version: 2608.05872v1 · doi: 10.48550/arxiv.2608.05872 · pith_short_12: BBZCER552AZJ · pith_short_16: BBZCER552AZJLAAO · pith_short_8: BBZCER55

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/BBZCER552AZJLAAOZQZP6NQXIG \
  | 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: 08722247bdd03295800ecc32ff361741a2a4785077676e7707a02cf81b5cd479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40704761ff3a915517ceb7da8034aa568aa1d8ea177bfd1c022b6739bc8eae7d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-08-06T10:51:34Z",
    "title_canon_sha256": "a7a9fd92128824320ef8c5eff311aea08ed0fc5af1fefc66f688fb1a2930b447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05872",
    "kind": "arxiv",
    "version": 1
  }
}