Pith Number

pith:NV2LST3A

pith:2016:NV2LST3AZL5IOKODNA55YIUOXA

not attested not anchored not stored refs pending

Uniqueness and propagation of chaos for the Boltzmann equation with moderately soft potentials

Liping Xu

arxiv:1605.09220 v1 · 2016-05-30 · 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{NV2LST3AZL5IOKODNA55YIUOXA}

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	2026-05-18T01:13:21.677613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d74b94f60cafa8729c3683bdc228eb8246d6fb50369e4c87c1869eea3276ce4

Aliases

arxiv: 1605.09220 · arxiv_version: 1605.09220v1 · doi: 10.48550/arxiv.1605.09220 · pith_short_12: NV2LST3AZL5I · pith_short_16: NV2LST3AZL5IOKOD · pith_short_8: NV2LST3A

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/NV2LST3AZL5IOKODNA55YIUOXA \
  | 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: 6d74b94f60cafa8729c3683bdc228eb8246d6fb50369e4c87c1869eea3276ce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5456b29a5a547a282ea27ff1a3337f2ac9d8ee751de4f6f3174defc5f33986a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-30T13:20:47Z",
    "title_canon_sha256": "3b28d07912c230a09841a55557e295d4ca275b91d1c2ad6b5d676923ebd760ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09220",
    "kind": "arxiv",
    "version": 1
  }
}