Pith Number

pith:WAW4BWW5

pith:2014:WAW4BWW5APXO63QOK3NYLCXNFU

not attested not anchored not stored refs pending

Hypercontractivity for Stochastic Hamiltonian Systems

Feng-Yu Wang

arxiv:1409.1995 v4 · 2014-09-06 · 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{WAW4BWW5APXO63QOK3NYLCXNFU}

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	2026-05-18T00:55:39.657409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02dc0dadd03eeef6e0e56db858aed2d2587d3b871d5ea84d21d7b1c3c827db7

Aliases

arxiv: 1409.1995 · arxiv_version: 1409.1995v4 · doi: 10.48550/arxiv.1409.1995 · pith_short_12: WAW4BWW5APXO · pith_short_16: WAW4BWW5APXO63QO · pith_short_8: WAW4BWW5

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/WAW4BWW5APXO63QOK3NYLCXNFU \
  | 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: b02dc0dadd03eeef6e0e56db858aed2d2587d3b871d5ea84d21d7b1c3c827db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "419b35d7ccbfe9d3ac76f0d4228d18369acd20d83deb342c8fae8fb2ff830ad0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-06T08:01:20Z",
    "title_canon_sha256": "b96cff013d8a7d5a1a62c480571c7f44ffd62c4ee89aa5f71468f585a2820347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1995",
    "kind": "arxiv",
    "version": 4
  }
}