Pith Number

pith:4M64EEMJ

pith:2026:4M64EEMJJ3GJEKPVBMDYOAQBKD

not attested not anchored not stored refs pending

Long-Time Dynamics and Modified Scattering for the Coulomb Vlasov--Hartree System

Mengyi Xie, Wenrui Huang

arxiv:2608.04402 v1 · 2026-08-05 · 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{4M64EEMJJ3GJEKPVBMDYOAQBKD}

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	2026-08-06T01:35:04.296094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33dc211894ecc9229f50b0787020150fd53505f06d3e2299816e6f87a97e053

Aliases

arxiv: 2608.04402 · arxiv_version: 2608.04402v1 · doi: 10.48550/arxiv.2608.04402 · pith_short_12: 4M64EEMJJ3GJ · pith_short_16: 4M64EEMJJ3GJEKPV · pith_short_8: 4M64EEMJ

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/4M64EEMJJ3GJEKPVBMDYOAQBKD \
  | 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: e33dc211894ecc9229f50b0787020150fd53505f06d3e2299816e6f87a97e053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b965d6c57213b416f49635612092fa00c23cebc14b73d1b9fedf4788ee4296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-05T03:14:08Z",
    "title_canon_sha256": "d667f268e7f0c53bf1b7ba56268149f69fc27ec379a6a70aea74d9181cdf178c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04402",
    "kind": "arxiv",
    "version": 1
  }
}