Pith Number

pith:5PKDYYDB

pith:2024:5PKDYYDBRAI6XSHQ6V7IRPPLBJ

not attested not anchored not stored refs pending

Global well-posedness, scattering and blow-up for the energy-critical, Schr\"odinger equation with indefinite potential in the radial case

Jun Wang, Zhaoyang Yin

arxiv:2407.01588 v1 · 2024-06-22 · 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{5PKDYYDBRAI6XSHQ6V7IRPPLBJ}

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	2026-07-05T08:39:02.465518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd43c60618811ebc8f0f57e88bdeb0a4033993da6e4fc3fa83914f535776f48

Aliases

arxiv: 2407.01588 · arxiv_version: 2407.01588v1 · doi: 10.48550/arxiv.2407.01588 · pith_short_12: 5PKDYYDBRAI6 · pith_short_16: 5PKDYYDBRAI6XSHQ · pith_short_8: 5PKDYYDB

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/5PKDYYDBRAI6XSHQ6V7IRPPLBJ \
  | 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: ebd43c60618811ebc8f0f57e88bdeb0a4033993da6e4fc3fa83914f535776f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d553401c152d31cdcdd2f2d4dc57e9c06b417289f9739335aaf30f24856d6792",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-22T11:44:41Z",
    "title_canon_sha256": "b35688aa2c718df3dfe69dddd4d42b480e8058b2fa7069ad9634fff7e74b6635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.01588",
    "kind": "arxiv",
    "version": 1
  }
}