Pith Number

pith:3OP6X4MX

pith:2015:3OP6X4MXHIV6HAOZAIGN6ZM4OK

not attested not anchored not stored refs pending

Landau equation for very soft and Coulomb potentials near Maxwellians

Kleber Carrapatoso (CMLA), St\'ephane Mischler (CEREMADE)

arxiv:1512.01638 v3 · 2015-12-05 · 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{3OP6X4MXHIV6HAOZAIGN6ZM4OK}

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	2026-05-18T00:53:12.485110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9febf1973a2be381d9020cdf659c729853624faac4298a8680e74bd69f15a6

Aliases

arxiv: 1512.01638 · arxiv_version: 1512.01638v3 · doi: 10.48550/arxiv.1512.01638 · pith_short_12: 3OP6X4MXHIV6 · pith_short_16: 3OP6X4MXHIV6HAOZ · pith_short_8: 3OP6X4MX

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/3OP6X4MXHIV6HAOZAIGN6ZM4OK \
  | 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: db9febf1973a2be381d9020cdf659c729853624faac4298a8680e74bd69f15a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3daf87dd89262249a924de3856b8e6c392d4f38fb772f8cf0710693670db62bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-05T08:17:42Z",
    "title_canon_sha256": "27662db9e770d9467b38e47ac9b2f1c2400fcc1038c73d2b94aa3c5b4191c2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01638",
    "kind": "arxiv",
    "version": 3
  }
}