Pith Number

pith:GVRLRWKO

pith:2012:GVRLRWKOORU2OSWV35FA2QCKPB

not attested not anchored not stored refs pending

Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff

Chao-Jiang Xu, Karel Pravda-Starov, Nicolas Lerner, Yoshinori Morimoto

arxiv:1212.4712 v3 · 2012-12-19 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVRLRWKOORU2OSWV35FA2QCKPB}

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	2026-05-18T03:13:43.435710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3562b8d94e7469a74ad5df4a0d404a785abd6a33bac054d41b19448cf41cc718

Aliases

arxiv: 1212.4712 · arxiv_version: 1212.4712v3 · doi: 10.48550/arxiv.1212.4712 · pith_short_12: GVRLRWKOORU2 · pith_short_16: GVRLRWKOORU2OSWV · pith_short_8: GVRLRWKO

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/GVRLRWKOORU2OSWV35FA2QCKPB \
  | 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: 3562b8d94e7469a74ad5df4a0d404a785abd6a33bac054d41b19448cf41cc718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64eb7f24b981624d5711b350993b52e751ea4dc5ae9d7c5d97f60d36e5eda124",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-19T15:48:42Z",
    "title_canon_sha256": "beec943ee4b0f0378f8faa528bc4933cce898658b6f0ff497f40152f1a0e8003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4712",
    "kind": "arxiv",
    "version": 3
  }
}