Pith Number

pith:RAGDCMBA

pith:2026:RAGDCMBATF7EMMXYIOY75NWGCJ

not attested not anchored not stored refs pending

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball

Chenmin Sun, Nicolas Burq, Nicolas Camps, Nikolay Tzvetkov

arxiv:2606.07010 v1 · 2026-06-05 · 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{RAGDCMBATF7EMMXYIOY75NWGCJ}

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	2026-06-08T01:04:41.039698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

880c313020997e4632f843b1feb6c6125f53a2a5f904665420f8261eb9ba314a

Aliases

arxiv: 2606.07010 · arxiv_version: 2606.07010v1 · doi: 10.48550/arxiv.2606.07010 · pith_short_12: RAGDCMBATF7E · pith_short_16: RAGDCMBATF7EMMXY · pith_short_8: RAGDCMBA

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/RAGDCMBATF7EMMXYIOY75NWGCJ \
  | 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: 880c313020997e4632f843b1feb6c6125f53a2a5f904665420f8261eb9ba314a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7240ce856905f75a4744426369f4b2711d6197f3ab2bfbe8e5cbd3e2d69cd9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-05T07:53:04Z",
    "title_canon_sha256": "1d9050e58da895e33e7ac145ca57502122fe0d9384b4b4592117bd0b6e5ebbf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07010",
    "kind": "arxiv",
    "version": 1
  }
}