Pith Number

pith:4GOIZ4XE

pith:2017:4GOIZ4XE4L7SEKFA46TTSTFO2O

not attested not anchored not stored refs pending

The cauchy problem for radially symmetric homogeneous boltzmann equation with shubin class initial datum and gelfand-shilov smoothing effect

Chao-Jiang Xu (LMRS), Hao-Guang Li

arxiv:1702.06867 v1 · 2017-02-22 · 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{4GOIZ4XE4L7SEKFA46TTSTFO2O}

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	2026-05-18T00:50:10.259814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19c8cf2e4e2ff2228a0e7a7394caed3842182c2732cbfd54ec3c37741c32a49

Aliases

arxiv: 1702.06867 · arxiv_version: 1702.06867v1 · doi: 10.48550/arxiv.1702.06867 · pith_short_12: 4GOIZ4XE4L7S · pith_short_16: 4GOIZ4XE4L7SEKFA · pith_short_8: 4GOIZ4XE

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/4GOIZ4XE4L7SEKFA46TTSTFO2O \
  | 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: e19c8cf2e4e2ff2228a0e7a7394caed3842182c2732cbfd54ec3c37741c32a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b749fc1355b1f1f43625ff16fe314638bc56dd1f53cbc3d3d2afc46221a8ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-22T15:57:24Z",
    "title_canon_sha256": "c23d184a94733771d836449a6a9e5e518636127378fafcb4e0f61b59364623db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06867",
    "kind": "arxiv",
    "version": 1
  }
}