Pith Number

pith:4MQ5UP5Z

pith:2026:4MQ5UP5ZYWNPDS2BFZZCDSSPD2

not attested not anchored not stored refs pending

Spontaneous symmetry breaking and Goldstone modes for deep information propagation

Max Welling, Nabil Iqbal, Takeru Miyato, T. Anderson Keller, Yue Song

arxiv:2605.14685 v1 · 2026-05-14 · cs.LG · cond-mat.stat-mech · 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{4MQ5UP5ZYWNPDS2BFZZCDSSPD2}

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	2026-05-17T23:38:59.497612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e321da3fb9c59af1cb412e7221ca4f1ea4a8fcfe0b370e02320f8f074398619b

Aliases

arxiv: 2605.14685 · arxiv_version: 2605.14685v1 · doi: 10.48550/arxiv.2605.14685 · pith_short_12: 4MQ5UP5ZYWNP · pith_short_16: 4MQ5UP5ZYWNPDS2B · pith_short_8: 4MQ5UP5Z

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/4MQ5UP5ZYWNPDS2BFZZCDSSPD2 \
  | 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: e321da3fb9c59af1cb412e7221ca4f1ea4a8fcfe0b370e02320f8f074398619b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b67182e355031c3d55316d5dce80fd6b82bcc8d60d6400047f45bd7914c80b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-14T10:59:28Z",
    "title_canon_sha256": "e2b3d5567f1b52e97ac534272c2ebaae5f95ff1b430508990e1a78a6687561b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14685",
    "kind": "arxiv",
    "version": 1
  }
}