Pith Number

pith:HOIBU72U

pith:2019:HOIBU72UKKAF4HEBKR3HCUV6CJ

not attested not anchored not stored refs pending

Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions

Jann-Long Chern, Maria Gualdani

arxiv:1910.06216 v2 · 2019-10-14 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOIBU72UKKAF4HEBKR3HCUV6CJ}

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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.

Cited by

1 paper in Pith

Weak-strong uniqueness for the Landau equation by a relative entropy method

Receipt and verification

First computed	2026-07-05T04:40:42.090404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b901a7f5452805e1c8154767152be1243bd1b3c8bae0bcd154d53aa47c0bf12

Aliases

arxiv: 1910.06216 · arxiv_version: 1910.06216v2 · doi: 10.48550/arxiv.1910.06216 · pith_short_12: HOIBU72UKKAF · pith_short_16: HOIBU72UKKAF4HEB · pith_short_8: HOIBU72U

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/HOIBU72UKKAF4HEBKR3HCUV6CJ \
  | 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: 3b901a7f5452805e1c8154767152be1243bd1b3c8bae0bcd154d53aa47c0bf12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91c055a1c7206b6be84d3a43e39833008d4d5af231e312fb6eba0e27e26de418",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-10-14T15:41:31Z",
    "title_canon_sha256": "a6e9121cfba094a63a6d6b8890679b738022a241251e42371d23eab71c5a830b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.06216",
    "kind": "arxiv",
    "version": 2
  }
}