Pith Number

pith:ZLD5ZPU6

pith:2026:ZLD5ZPU6TSQKFQCUY3UTZFZFMA

not attested not anchored not stored refs pending

Phase Transitions in Driven Informational Systems: A Two-Field Perspective on Learning Theory and Non-Equilibrium Chemistry

Truong Xuan Khanh

arxiv:2605.16325 v1 · 2026-05-05 · cs.LG · 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{ZLD5ZPU6TSQKFQCUY3UTZFZFMA}

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	2026-05-20T00:02:16.972597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac7dcbe9e9ca0a2c054c6e93c9725602653f5dbcb34d5ef1d62930cb1ec9aa6

Aliases

arxiv: 2605.16325 · arxiv_version: 2605.16325v1 · doi: 10.48550/arxiv.2605.16325 · pith_short_12: ZLD5ZPU6TSQK · pith_short_16: ZLD5ZPU6TSQKFQCU · pith_short_8: ZLD5ZPU6

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/ZLD5ZPU6TSQKFQCUY3UTZFZFMA \
  | 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: cac7dcbe9e9ca0a2c054c6e93c9725602653f5dbcb34d5ef1d62930cb1ec9aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7697184a31ca5c8e803cd217dd51c93332088086c43a6ef74f4e185b4a3ab7",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-05T05:33:57Z",
    "title_canon_sha256": "2e34f92849282755fcd873a5b8430c9294baef03c1d3622f7204dab7b69a2c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16325",
    "kind": "arxiv",
    "version": 1
  }
}