Pith Number

pith:SKJCMYNC

pith:2026:SKJCMYNC32QK2M6R3R7U2CFDBQ

not attested not anchored not stored refs pending

Emergence via Phase Transitions: Mechanism Landscapes and Universal Convergence Across Complex Systems

Truong Xuan Khanh

arxiv:2606.07563 v1 · 2026-05-25 · 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{SKJCMYNC32QK2M6R3R7U2CFDBQ}

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	2026-06-09T00:04:43.025874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92922661a2dea0ad33d1dc7f4d08a30c01d42e514149c86718016f8e6eacb13c

Aliases

arxiv: 2606.07563 · arxiv_version: 2606.07563v1 · doi: 10.48550/arxiv.2606.07563 · pith_short_12: SKJCMYNC32QK · pith_short_16: SKJCMYNC32QK2M6R · pith_short_8: SKJCMYNC

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/SKJCMYNC32QK2M6R3R7U2CFDBQ \
  | 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: 92922661a2dea0ad33d1dc7f4d08a30c01d42e514149c86718016f8e6eacb13c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dc6f149e92c4264044a4dd44fa1a8a7832ac813584f098133737c7e176b1896",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-25T18:32:52Z",
    "title_canon_sha256": "eea96b76551b5da63cdbac7c58966fbc02c8c1ee1edfb39621e3b68a5af6a1f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07563",
    "kind": "arxiv",
    "version": 1
  }
}