Pith Number

pith:HXS66ZZM

pith:2024:HXS66ZZMPJARZPATRVWY2CKTUK

not attested not anchored not stored refs pending

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling

Beibei Zhang, Bin Qian

arxiv:2411.13788 v1 · 2024-11-21 · 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{HXS66ZZMPJARZPATRVWY2CKTUK}

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	2026-07-05T09:38:37.105221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de5ef672c7a411cbc138d6d8d0953a292a45652b196603c06496b3872f7157c

Aliases

arxiv: 2411.13788 · arxiv_version: 2411.13788v1 · doi: 10.48550/arxiv.2411.13788 · pith_short_12: HXS66ZZMPJAR · pith_short_16: HXS66ZZMPJARZPAT · pith_short_8: HXS66ZZM

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/HXS66ZZMPJARZPATRVWY2CKTUK \
  | 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: 3de5ef672c7a411cbc138d6d8d0953a292a45652b196603c06496b3872f7157c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da3bc0f05d3a6cd675256c297ff56555a46053610bae6d463971daf8333733f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-21T02:20:59Z",
    "title_canon_sha256": "e9545836d9b9b018b8d8660a72feeace41a206a7e02ea70b8bf2bc00364f084b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13788",
    "kind": "arxiv",
    "version": 1
  }
}