Pith Number

pith:T6E4DR2I

pith:2026:T6E4DR2IBXCILHZALF2RUCTGFK

not attested not anchored not stored refs pending

Phase structure of the Random Language Model

Alessio Giorlandino, Eric De Giuli, Sebastian Goldt

arxiv:2606.28103 v1 · 2026-06-26 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6E4DR2IBXCILHZALF2RUCTGFK}

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	2026-06-29T01:14:57.997599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f89c1c7480dc4859f2059751a0a662abe32d5f085eb5c819f32632c04cbc9bb

Aliases

arxiv: 2606.28103 · arxiv_version: 2606.28103v1 · doi: 10.48550/arxiv.2606.28103 · pith_short_12: T6E4DR2IBXCI · pith_short_16: T6E4DR2IBXCILHZA · pith_short_8: T6E4DR2I

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/T6E4DR2IBXCILHZALF2RUCTGFK \
  | 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: 9f89c1c7480dc4859f2059751a0a662abe32d5f085eb5c819f32632c04cbc9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb63ead5cb18d525cfd59daa65e473b8a2cc978f25fdb10c9a9d9015cf89b161",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-26T14:00:04Z",
    "title_canon_sha256": "4a917e15054807b7a696964d98bc86b75c6379895b5efef01ab0f3835894ddc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28103",
    "kind": "arxiv",
    "version": 1
  }
}