Pith Number

pith:SFEZ7IFM

pith:2015:SFEZ7IFMOV3BABPTH5PR2QKFJT

not attested not anchored not stored refs pending

Restricted Markov uniqueness for the stochastic quantization of $P(\Phi)_2$ and its applications

Michael R\"ockner, Rongchan Zhu, Xiangchan Zhu

arxiv:1511.08030 v2 · 2015-11-25 · math.PR · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFEZ7IFMOV3BABPTH5PR2QKFJT}

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	2026-05-18T01:25:56.301613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91499fa0ac75761005f33f5f1d41454cc6bc6ced36a045ba67f1157e21abb971

Aliases

arxiv: 1511.08030 · arxiv_version: 1511.08030v2 · doi: 10.48550/arxiv.1511.08030 · pith_short_12: SFEZ7IFMOV3B · pith_short_16: SFEZ7IFMOV3BABPT · pith_short_8: SFEZ7IFM

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/SFEZ7IFMOV3BABPTH5PR2QKFJT \
  | 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: 91499fa0ac75761005f33f5f1d41454cc6bc6ced36a045ba67f1157e21abb971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "022ccc4e29f7f84c786ae63d119bd4cc0057c78c6082e11f75eb6e8bc9b37f7e",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-25T12:10:57Z",
    "title_canon_sha256": "91131b173dfe8fb075701ce0914bed5cb1b2a601506aba54fdf827b996c5a014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08030",
    "kind": "arxiv",
    "version": 2
  }
}