Pith Number

pith:SPXHJX63

pith:2020:SPXHJX63P2YNDM2CSHO6RFCSNL

not attested not anchored not stored refs pending

Convergence problem of Schr\"odinger equation in Fourier-Lebesgue spaces with rough data and random data

Wei Yan, Xiangqian Yan, Yajuan Zhao

arxiv:2011.07134 v2 · 2020-11-06 · 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{SPXHJX63P2YNDM2CSHO6RFCSNL}

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	2026-07-05T02:06:17.956707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ee74dfdb7eb0d1b34291dde894526ac6159d22f4fd83fbc641a9608e34d6ce

Aliases

arxiv: 2011.07134 · arxiv_version: 2011.07134v2 · doi: 10.48550/arxiv.2011.07134 · pith_short_12: SPXHJX63P2YN · pith_short_16: SPXHJX63P2YNDM2C · pith_short_8: SPXHJX63

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/SPXHJX63P2YNDM2CSHO6RFCSNL \
  | 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: 93ee74dfdb7eb0d1b34291dde894526ac6159d22f4fd83fbc641a9608e34d6ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59ec96ac84bf2bf3994dfb4ee2c17d8adcfb008143098b17e4b4bbf189e1954",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-11-06T01:29:12Z",
    "title_canon_sha256": "0641071f7f92c9e6cab373c5e0d7b1ddf287ab214dc53bac957af5d4cfe16ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.07134",
    "kind": "arxiv",
    "version": 2
  }
}