Pith Number

pith:DP6TRGT4

pith:2023:DP6TRGT4JZ63K5JZWB22GGXA7S

not attested not anchored not stored refs pending

Sharp regularization effect for the non-cutoff Boltzmann equation with hard potentials

Chao-Jiang Xu, Jun-Ling Chen, Wei-Xi Li

arxiv:2305.02861 v2 · 2023-05-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DP6TRGT4JZ63K5JZWB22GGXA7S}

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	2026-07-05T07:35:18.838477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bfd389a7c4e7db57539b075a31ae0fca792d3f57bea2b37a507df85e5e7ef33

Aliases

arxiv: 2305.02861 · arxiv_version: 2305.02861v2 · doi: 10.48550/arxiv.2305.02861 · pith_short_12: DP6TRGT4JZ63 · pith_short_16: DP6TRGT4JZ63K5JZ · pith_short_8: DP6TRGT4

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/DP6TRGT4JZ63K5JZWB22GGXA7S \
  | 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: 1bfd389a7c4e7db57539b075a31ae0fca792d3f57bea2b37a507df85e5e7ef33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17bdaac7d404fa3d6ad8a44251e5e07b722d05610ace1f868539802ba289cc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-05-04T14:19:56Z",
    "title_canon_sha256": "00897caf53d99a47a0737439c7219738dc234e6534bf87b8e50f1000b4c53fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.02861",
    "kind": "arxiv",
    "version": 2
  }
}