Pith Number

pith:BQRRMJ55

pith:2009:BQRRMJ55R3CJDG7A6RPBPJKZGD

not attested not anchored not stored refs pending

Scattering for the focusing ${\dot H}^{1/2}$-critical Hartree equation with radial data

Changxing Miao, Guixiang Xu, Yanfang Gao

arxiv:0906.3382 v2 · 2009-06-18 · 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{BQRRMJ55R3CJDG7A6RPBPJKZGD}

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	2026-07-04T15:45:58.512208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c231627bd8ec4919be0f45e17a55930d3ebf5df586594e688bd3724cc2730a7

Aliases

arxiv: 0906.3382 · arxiv_version: 0906.3382v2 · doi: 10.48550/arxiv.0906.3382 · pith_short_12: BQRRMJ55R3CJ · pith_short_16: BQRRMJ55R3CJDG7A · pith_short_8: BQRRMJ55

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/BQRRMJ55R3CJDG7A6RPBPJKZGD \
  | 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: 0c231627bd8ec4919be0f45e17a55930d3ebf5df586594e688bd3724cc2730a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504f765ad4d5cec1fa9ac90c68873bc0810f569e1977b9d17c725e38f296646e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-06-18T09:00:23Z",
    "title_canon_sha256": "71f25c7b1b6bcfba6edf073e31d06a8517e9ec20a8104075056c02e441e74d7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3382",
    "kind": "arxiv",
    "version": 2
  }
}