Pith Number

pith:WWERFUXU

pith:2020:WWERFUXUYPTT7QV2BBVW7SXEC2

not attested not anchored not stored refs pending

Well-posedness for a system of quadratic derivative nonlinear Schr\"odinger equations in almost critical spaces

Hiroyuki Hirayama, Mamoru Okamoto, Shinya Kinoshita

arxiv:2009.13072 v1 · 2020-09-25 · 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{WWERFUXUYPTT7QV2BBVW7SXEC2}

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	2026-07-05T09:05:28.562801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58912d2f4c3e73fc2ba086b6fcae41695026b34d17e57f4b5eae1116f8d0f6d

Aliases

arxiv: 2009.13072 · arxiv_version: 2009.13072v1 · doi: 10.48550/arxiv.2009.13072 · pith_short_12: WWERFUXUYPTT · pith_short_16: WWERFUXUYPTT7QV2 · pith_short_8: WWERFUXU

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/WWERFUXUYPTT7QV2BBVW7SXEC2 \
  | 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: b58912d2f4c3e73fc2ba086b6fcae41695026b34d17e57f4b5eae1116f8d0f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff329c1ff2fc893eec0264d169105cac81122b7916aaa69371cf86b7f641879e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-09-25T09:39:16Z",
    "title_canon_sha256": "8f57273481ea126d29a12096aaf4279f72d43741da292ff59ee6aaa2a08dbe09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.13072",
    "kind": "arxiv",
    "version": 1
  }
}