Pith Number

pith:O2GKLDOZ

pith:2007:O2GKLDOZQVHVFWUGB2THE35VQD

not attested not anchored not stored refs pending

Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

Changxing Miao, Guixiang Xu, Lifeng Zhao

arxiv:0704.0665 v2 · 2007-04-05 · 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{O2GKLDOZQVHVFWUGB2THE35VQD}

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	2026-07-04T15:14:57.006220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768ca58dd9854f52da860ea6726fb580f2c5e733da21b608ab75b451a79c5c41

Aliases

arxiv: 0704.0665 · arxiv_version: 0704.0665v2 · doi: 10.48550/arxiv.0704.0665 · pith_short_12: O2GKLDOZQVHV · pith_short_16: O2GKLDOZQVHVFWUG · pith_short_8: O2GKLDOZ

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/O2GKLDOZQVHVFWUGB2THE35VQD \
  | 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: 768ca58dd9854f52da860ea6726fb580f2c5e733da21b608ab75b451a79c5c41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbd73db96d46cbfe17a20f87e1428691c7025ae8cee9a1e8f926684cd4ffee4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-04-05T01:04:22Z",
    "title_canon_sha256": "5067c978e7ab7bba7434da1483ee742b26da2e5f3f09374316d1debf5238f663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0665",
    "kind": "arxiv",
    "version": 2
  }
}