Pith Number

pith:MQPXNSWK

pith:2024:MQPXNSWKKB3LD5TMSUIYPCZESQ

not attested not anchored not stored refs pending

Phase mixing for the Hartree equation and Landau damping in the semiclassical limit

Marnie Smith

arxiv:2412.14842 v2 · 2024-12-19 · 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{MQPXNSWKKB3LD5TMSUIYPCZESQ}

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.

Cited by

3 papers in Pith

Modified Scattering for the Time-Dependent Kohn--Sham Equation

Asymptotic Stability of Hartree--Fock Homogenous Equilibria in $\mathbb{R}^d$

Global solutions for the Alber equation in $H^1\mathfrak{S}^1(\mathbb{T})$

Receipt and verification

First computed	2026-07-05T11:23:08.326378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641f76caca5076b1f66c9511878b2494291c7606b4cc14621cc0042c729cb3b0

Aliases

arxiv: 2412.14842 · arxiv_version: 2412.14842v2 · doi: 10.48550/arxiv.2412.14842 · pith_short_12: MQPXNSWKKB3L · pith_short_16: MQPXNSWKKB3LD5TM · pith_short_8: MQPXNSWK

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/MQPXNSWKKB3LD5TMSUIYPCZESQ \
  | 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: 641f76caca5076b1f66c9511878b2494291c7606b4cc14621cc0042c729cb3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc59caae3b4d1a64d63c6278933c6339c84a34d5419f3c67de2ad8ec8402aa26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-19T13:35:36Z",
    "title_canon_sha256": "74dbcb83c29de353a2557e500c722b537eaa455bb521261242e197174a5b7dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14842",
    "kind": "arxiv",
    "version": 2
  }
}