Pith Number

pith:KBR7ZXQB

pith:2015:KBR7ZXQBUWAWWMEPQ3W66GIJGH

not attested not anchored not stored refs pending

The Fokker-Planck equation for bosons in 2D: well-possedness and asymptotic analysis

Jes\'us Rosado, Jos\'e A. Ca\~nizo, Jos\'e A. Carrillo, Philippe Lauren\c{c}ot

arxiv:1506.00256 v2 · 2015-05-31 · 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{KBR7ZXQBUWAWWMEPQ3W66GIJGH}

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	2026-05-18T00:47:59.372252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5063fcde01a5816b308f86edef190931cb821df083fad72a8a6193389f50b432

Aliases

arxiv: 1506.00256 · arxiv_version: 1506.00256v2 · doi: 10.48550/arxiv.1506.00256 · pith_short_12: KBR7ZXQBUWAW · pith_short_16: KBR7ZXQBUWAWWMEP · pith_short_8: KBR7ZXQB

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/KBR7ZXQBUWAWWMEPQ3W66GIJGH \
  | 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: 5063fcde01a5816b308f86edef190931cb821df083fad72a8a6193389f50b432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e77453d93f5312befdbb7a086b09ba74233877995f4d415de57c38857d401b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-31T17:08:56Z",
    "title_canon_sha256": "114e8d90268e9a40c4d8e486fe56031a195ed17e44e3baaa32b1740ec2c48d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00256",
    "kind": "arxiv",
    "version": 2
  }
}