Pith Number

pith:NEU6JYYH

pith:2016:NEU6JYYHNFR5BFC4TPGJNVTECT

not attested not anchored not stored refs pending

Ergodicity for the stochastic quantization problems on the 2D-torus

Michael Rockner, Rongchan Zhu, Xiangchan Zhu

arxiv:1606.02102 v2 · 2016-06-07 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NEU6JYYHNFR5BFC4TPGJNVTECT}

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	2026-05-18T00:45:49.301239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6929e4e3076963d0945c9bcc96d66414fd8d7300a2667e862eda0833d230b0d7

Aliases

arxiv: 1606.02102 · arxiv_version: 1606.02102v2 · doi: 10.48550/arxiv.1606.02102 · pith_short_12: NEU6JYYHNFR5 · pith_short_16: NEU6JYYHNFR5BFC4 · pith_short_8: NEU6JYYH

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/NEU6JYYHNFR5BFC4TPGJNVTECT \
  | 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: 6929e4e3076963d0945c9bcc96d66414fd8d7300a2667e862eda0833d230b0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082aa61ca03079fae263c6c1664e58efef94d729480b507410d0fd398b09ad9b",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-07T11:38:46Z",
    "title_canon_sha256": "6d7eaa98685a6a2db161eb4f1ed93ff88cb4edfd04fd84581f226bf13c94770e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02102",
    "kind": "arxiv",
    "version": 2
  }
}