Pith Number

pith:EDGZEZRA

pith:2022:EDGZEZRAKTAFHDS4FC3JHTQGBF

not attested not anchored not stored refs pending

Upper and lower $L^2$-decay bounds for a class of derivative nonlinear Schr\"odinger equations

Chunhua Li, Hideaki Sunagawa, Yoshinori Nishii, Yuji Sagawa

arxiv:2204.07320 v1 · 2022-04-15 · 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{EDGZEZRAKTAFHDS4FC3JHTQGBF}

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	2026-07-05T05:16:50.608752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20cd92662054c0538e5c28b693ce06096cbabd591f560969781a29c4685d9d5e

Aliases

arxiv: 2204.07320 · arxiv_version: 2204.07320v1 · doi: 10.48550/arxiv.2204.07320 · pith_short_12: EDGZEZRAKTAF · pith_short_16: EDGZEZRAKTAFHDS4 · pith_short_8: EDGZEZRA

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/EDGZEZRAKTAFHDS4FC3JHTQGBF \
  | 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: 20cd92662054c0538e5c28b693ce06096cbabd591f560969781a29c4685d9d5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67ab659e8c22a561b0374ad07070c757fb794593b72f0baed86cddca33a731e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-15T04:00:25Z",
    "title_canon_sha256": "2118d3007eb2582fb449d8e18d317bff65efc8db2bea3246b7ce404ad5d23708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07320",
    "kind": "arxiv",
    "version": 1
  }
}