Pith Number

pith:Z7IUYV5Q

pith:2026:Z7IUYV5QIXFWMFSFJZNZCRQLGH

not attested not anchored not stored refs pending

Clustered Attractor Manifolds and Dynamical Condensation in Self-Attention

Qucheng Gao, Xiao Chen, Zuyi Yang

arxiv:2608.08922 v1 · 2026-08-09 · cond-mat.dis-nn · cond-mat.stat-mech · 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{Z7IUYV5QIXFWMFSFJZNZCRQLGH}

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	2026-08-11T01:25:44.215855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd14c57b045cb6616454e5b91460b31e65be4edfb4d4056176e672665d638a9

Aliases

arxiv: 2608.08922 · arxiv_version: 2608.08922v1 · doi: 10.48550/arxiv.2608.08922 · pith_short_12: Z7IUYV5QIXFW · pith_short_16: Z7IUYV5QIXFWMFSF · pith_short_8: Z7IUYV5Q

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/Z7IUYV5QIXFWMFSFJZNZCRQLGH \
  | 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: cfd14c57b045cb6616454e5b91460b31e65be4edfb4d4056176e672665d638a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c374ec962ebaec8dcc3902a38d12f48fa898ed780d73b3a7fb1244a74f00542",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-08-09T21:28:01Z",
    "title_canon_sha256": "0821b1765d92a1eb9f85bd735b4ce10ef34f86807ff0669f414263b7212a395b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08922",
    "kind": "arxiv",
    "version": 1
  }
}