Pith Number

pith:RKNL7EMD

pith:2005:RKNL7EMDFDXINIOUFRH56NDCDB

not attested not anchored not stored refs pending

Well-Posedness for Semi-Relativistic Hartree Equations of Critical Type

Enno Lenzmann

arxiv:math/0505456 v3 · 2005-05-22 · 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{RKNL7EMDFDXINIOUFRH56NDCDB}

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	2026-05-18T04:07:20.073784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a9abf918328ee86a1d42c4fdf346218516463d2f36d861295d0dc86a19edacb

Aliases

arxiv: math/0505456 · arxiv_version: math/0505456v3 · doi: 10.48550/arxiv.math/0505456 · pith_short_12: RKNL7EMDFDXI · pith_short_16: RKNL7EMDFDXINIOU · pith_short_8: RKNL7EMD

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/RKNL7EMDFDXINIOUFRH56NDCDB \
  | 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: 8a9abf918328ee86a1d42c4fdf346218516463d2f36d861295d0dc86a19edacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f633ba6b3a87484429b0919d81070a68276f0620df81939fd3208d898fa1492b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-05-22T15:28:11Z",
    "title_canon_sha256": "3b4f8d7b4701f098ae61f38dd7d9e6a4636cd3cf1e49ffb1388551eb6eb84925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505456",
    "kind": "arxiv",
    "version": 3
  }
}