Pith Number

pith:INQXOFSO

pith:2026:INQXOFSOKPH37YHFJ2LQZV7CP3

not attested not anchored not stored refs pending

The semiclassical limit from Hartree to Vlasov at positive density: strong uniform-in-time convergence and scattering

Marnie Smith

arxiv:2607.22490 v1 · 2026-07-24 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INQXOFSOKPH37YHFJ2LQZV7CP3}

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	2026-07-27T01:21:23.714217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436177164e53cfbfe0e54e970cd7e27ef8e664471bc2f10527c13ea4003be077

Aliases

arxiv: 2607.22490 · arxiv_version: 2607.22490v1 · doi: 10.48550/arxiv.2607.22490 · pith_short_12: INQXOFSOKPH3 · pith_short_16: INQXOFSOKPH37YHF · pith_short_8: INQXOFSO

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/INQXOFSOKPH37YHFJ2LQZV7CP3 \
  | 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: 436177164e53cfbfe0e54e970cd7e27ef8e664471bc2f10527c13ea4003be077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6d3b36fee30e12aa2a502b772ad1a4e242a9f8040790341b34770efdccca51",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-24T17:02:03Z",
    "title_canon_sha256": "54100b44533133e2678da2e6a328726eeede2ff422aee76019c43ef673394c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22490",
    "kind": "arxiv",
    "version": 1
  }
}