Pith Number

pith:HURPVO4X

pith:2026:HURPVO4XNL663LXVHHTNUZHL5C

not attested not anchored not stored refs pending

Self-Attention Dynamics with Rotary Position Embeddings: Twisted States and Explicit Consensus Rates on the Sphere

Chinese Academy of Sciences, Hao Ye (Xi'an Institute of Optics, Precision Mechanics, University of Chinese Academy of Sciences)

arxiv:2607.24502 v1 · 2026-07-27 · math.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HURPVO4XNL663LXVHHTNUZHL5C}

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	2026-07-28T02:24:06.871158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d22fabb976afdedaef539e6da64ebe887801ec3d1a8e9982c80a0a58a23bb71

Aliases

arxiv: 2607.24502 · arxiv_version: 2607.24502v1 · doi: 10.48550/arxiv.2607.24502 · pith_short_12: HURPVO4XNL66 · pith_short_16: HURPVO4XNL663LXV · pith_short_8: HURPVO4X

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/HURPVO4XNL663LXVHHTNUZHL5C \
  | 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: 3d22fabb976afdedaef539e6da64ebe887801ec3d1a8e9982c80a0a58a23bb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d14d7b4c5968ef857c1ebd56ba23cc0bc3b558873c87eb33c9f70d0c7b1560a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-27T14:36:30Z",
    "title_canon_sha256": "44a0857f255c93088526becfbecd390101532d84410e886225ed47880b562a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24502",
    "kind": "arxiv",
    "version": 1
  }
}