Pith Number

pith:ALXUDOT6

pith:2026:ALXUDOT6WPKSKQKXGVCU6QCL52

not attested not anchored not stored refs pending

Stochastic Quantization as Optimal Control

Lingxiao Wang

arxiv:2607.21436 v1 · 2026-07-23 · hep-lat · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALXUDOT6WPKSKQKXGVCU6QCL52}

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	2026-07-24T01:24:32.379685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ef41ba7eb3d525415735454f404beea348d9061db5944b4fdc46c4fe26ff4c

Aliases

arxiv: 2607.21436 · arxiv_version: 2607.21436v1 · doi: 10.48550/arxiv.2607.21436 · pith_short_12: ALXUDOT6WPKS · pith_short_16: ALXUDOT6WPKSKQKX · pith_short_8: ALXUDOT6

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/ALXUDOT6WPKSKQKXGVCU6QCL52 \
  | 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: 02ef41ba7eb3d525415735454f404beea348d9061db5944b4fdc46c4fe26ff4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bc9a73043dd1ee914844c63e9d396199ce290fbafc79a8ad8a98337a6a2fc1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-07-23T15:39:27Z",
    "title_canon_sha256": "2824234ef2589876d048689e85626481fd18499c5964d5cadb8cfe0c13648e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21436",
    "kind": "arxiv",
    "version": 1
  }
}