Pith Number

pith:UJY6NBH4

pith:2017:UJY6NBH42ZPH4RXTYFRMSIOUXT

not attested not anchored not stored refs pending

The interctitical defocusing nonlinear Schr\"odinger equations with radial initial data in dimensions four and higher

Changxing Miao, Chuanwei Gao, Jianwei Yang

arxiv:1707.04686 v3 · 2017-07-15 · 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{UJY6NBH42ZPH4RXTYFRMSIOUXT}

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	2026-05-17T23:43:43.419150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a271e684fcd65e7e46f3c162c921d4bcc425128e227185a4b74c4852cc538357

Aliases

arxiv: 1707.04686 · arxiv_version: 1707.04686v3 · doi: 10.48550/arxiv.1707.04686 · pith_short_12: UJY6NBH42ZPH · pith_short_16: UJY6NBH42ZPH4RXT · pith_short_8: UJY6NBH4

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/UJY6NBH42ZPH4RXTYFRMSIOUXT \
  | 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: a271e684fcd65e7e46f3c162c921d4bcc425128e227185a4b74c4852cc538357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53806f3cd5f04504284a55b24e0541adb4a2892dc70de91ccf5dbeb37543e7c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-15T04:22:05Z",
    "title_canon_sha256": "785d014e27af3b6f3dc58b38f91068ff9e59bb253818e2970e782d6caad53c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04686",
    "kind": "arxiv",
    "version": 3
  }
}