Pith Number

pith:ADL36M7K

pith:2018:ADL36M7KL562D2ZPPVTINMYYYQ

not attested not anchored not stored refs pending

Global well-posedness for the defocusing Hartree equation with radial data in $\mathbb R^4$

Changxing Miao, Guixiang Xu, Jianwei Yang

arxiv:1807.05841 v1 · 2018-07-07 · 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{ADL36M7KL562D2ZPPVTINMYYYQ}

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	2026-07-05T00:48:12.911387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d7bf33ea5f7da1eb2f7d6686b318c4395904d4815f2af5e4dbfc971654b841

Aliases

arxiv: 1807.05841 · arxiv_version: 1807.05841v1 · doi: 10.48550/arxiv.1807.05841 · pith_short_12: ADL36M7KL562 · pith_short_16: ADL36M7KL562D2ZP · pith_short_8: ADL36M7K

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/ADL36M7KL562D2ZPPVTINMYYYQ \
  | 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: 00d7bf33ea5f7da1eb2f7d6686b318c4395904d4815f2af5e4dbfc971654b841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4659fa4f2bf825f855939d7da2edd5a2d3a4aba9bbe1b74861fbaf25ba5c903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-07T09:41:06Z",
    "title_canon_sha256": "aed5d4a7fc38a2d43f1d93b9fa96606bebfe2a4dda4164df667f266224e377d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05841",
    "kind": "arxiv",
    "version": 1
  }
}