Pith Number

pith:425IVT43

pith:2026:425IVT43BET6DFBISX7YA7XFES

not attested not anchored not stored refs pending

Mobius Learning: Cyclic Depth Folding in Transformers

Tongtian Zhu

arxiv:2607.17843 v1 · 2026-07-20 · cs.LG · cs.CL · 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{425IVT43BET6DFBISX7YA7XFES}

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	2026-07-21T02:22:03.049009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ba8acf9b0927e1942895ff807ee524a889e6d339b2d51ba36fe07d7ad7a580

Aliases

arxiv: 2607.17843 · arxiv_version: 2607.17843v1 · doi: 10.48550/arxiv.2607.17843 · pith_short_12: 425IVT43BET6 · pith_short_16: 425IVT43BET6DFBI · pith_short_8: 425IVT43

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/425IVT43BET6DFBISX7YA7XFES \
  | 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: e6ba8acf9b0927e1942895ff807ee524a889e6d339b2d51ba36fe07d7ad7a580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e5f9b0ccde41f91c9a536977ff31f93c23eb6bbeb79fa19c5fbcce3d205c9db",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-20T11:37:31Z",
    "title_canon_sha256": "26d868e3fc5c62d04eb6d2878e407a8f9248af6816cc8f69a1548d6a82d6ef08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17843",
    "kind": "arxiv",
    "version": 1
  }
}