Pith Number

pith:7JQHBXWP

pith:2015:7JQHBXWP2MRTO4BT7MHJ33B2EC

not attested not anchored not stored refs pending

Hypercontractivity for Functional Stochastic Partial Differential Equations

Chenggui Yuan, Feng-Yu Wang, Jianhai Bao

arxiv:1503.02255 v2 · 2015-03-08 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JQHBXWP2MRTO4BT7MHJ33B2EC}

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	2026-05-18T01:33:58.468270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6070decfd323377033fb0e9dec3a20916add5a752817a73447d38359801030

Aliases

arxiv: 1503.02255 · arxiv_version: 1503.02255v2 · doi: 10.48550/arxiv.1503.02255 · pith_short_12: 7JQHBXWP2MRT · pith_short_16: 7JQHBXWP2MRTO4BT · pith_short_8: 7JQHBXWP

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/7JQHBXWP2MRTO4BT7MHJ33B2EC \
  | 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: fa6070decfd323377033fb0e9dec3a20916add5a752817a73447d38359801030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4066f48f5c3b058a3d5d647435361a2058c0ee9b450b97c1e6a80703e094678",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-08T08:21:03Z",
    "title_canon_sha256": "0c6515659863507e86b16ff7e0f6d75ccaa39d5122b09f04bafe49a80e6ff2c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02255",
    "kind": "arxiv",
    "version": 2
  }
}