Pith Number

pith:KNDPKECH

pith:2020:KNDPKECHIFO5YTNWN7BRSGTPX4

not attested not anchored not stored refs pending

Refined probabilistic global well-posedness for the weakly dispersive NLS

Chenmin Sun, Nikolay Tzvetkov

arxiv:2010.13065 v2 · 2020-10-25 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNDPKECHIFO5YTNWN7BRSGTPX4}

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	2026-07-05T02:30:13.579799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5346f51047415ddc4db66fc3191a6fbf02e074e0b99abdc90876b37bd166fb64

Aliases

arxiv: 2010.13065 · arxiv_version: 2010.13065v2 · doi: 10.48550/arxiv.2010.13065 · pith_short_12: KNDPKECHIFO5 · pith_short_16: KNDPKECHIFO5YTNW · pith_short_8: KNDPKECH

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/KNDPKECHIFO5YTNWN7BRSGTPX4 \
  | 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: 5346f51047415ddc4db66fc3191a6fbf02e074e0b99abdc90876b37bd166fb64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3ef0ee189a2f0b87634457f62342ab25156dc9f752d7e7b512d9d407dbc243",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-25T08:29:17Z",
    "title_canon_sha256": "cfc28f039e1e01f11adb7545d721bb761376031fa25e6702dc861b6b25e44ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.13065",
    "kind": "arxiv",
    "version": 2
  }
}