Pith Number

pith:N7U5T3MO

pith:2025:N7U5T3MOIJ2N6LCAGAXDM2GKIQ

not attested not anchored not stored refs pending

Uniform dispersive estimates for the semi-classical Hartree equation with long-range interaction

Sonae Hadama

arxiv:2507.12577 v1 · 2025-07-16 · 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{N7U5T3MOIJ2N6LCAGAXDM2GKIQ}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:38:34.864511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe9d9ed8e4274df2c40302e3668ca441050ca87e3ce4fbd70ac5f528bb7f9a2

Aliases

arxiv: 2507.12577 · arxiv_version: 2507.12577v1 · doi: 10.48550/arxiv.2507.12577 · pith_short_12: N7U5T3MOIJ2N · pith_short_16: N7U5T3MOIJ2N6LCA · pith_short_8: N7U5T3MO

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/N7U5T3MOIJ2N6LCAGAXDM2GKIQ \
  | 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: 6fe9d9ed8e4274df2c40302e3668ca441050ca87e3ce4fbd70ac5f528bb7f9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abafa6d5e7849856924002d4faed3cd2e169fad642b9c44e0e694c0a5f257083",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-16T18:45:56Z",
    "title_canon_sha256": "22b00df4d557c61cfee28b697de9d5d8f218f9dbcaecf8f5df4187788e2556b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12577",
    "kind": "arxiv",
    "version": 1
  }
}