Pith Number

pith:4WSP24UV

pith:2016:4WSP24UV2JXEQRG3Z5HOUHMZJJ

not attested not anchored not stored refs pending

Shubin regularity for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential

Hao-Guang Li, L\'eo Glangetas

arxiv:1604.07676 v1 · 2016-04-26 · 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{4WSP24UV2JXEQRG3Z5HOUHMZJJ}

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	2026-05-18T01:16:12.325172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a4fd7295d26e4844dbcf4eea1d994a52e247086338f81c096ca103a3a05b8e

Aliases

arxiv: 1604.07676 · arxiv_version: 1604.07676v1 · doi: 10.48550/arxiv.1604.07676 · pith_short_12: 4WSP24UV2JXE · pith_short_16: 4WSP24UV2JXEQRG3 · pith_short_8: 4WSP24UV

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/4WSP24UV2JXEQRG3Z5HOUHMZJJ \
  | 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: e5a4fd7295d26e4844dbcf4eea1d994a52e247086338f81c096ca103a3a05b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6552ad40a73d04bcefd217f97286785b003c5d9ee58f4c7eacdfa5ec56901e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-26T13:39:01Z",
    "title_canon_sha256": "c352c1ed4e521074ad1889d8329b3146fbc4d295e9b4571630c58c7b0ac4d41d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07676",
    "kind": "arxiv",
    "version": 1
  }
}