Pith Number

pith:OBSVQBID

pith:2026:OBSVQBID36W2OZYSKV73NL6ZW2

not attested not anchored not stored refs pending

Unique continuation inequalities for the Dunkl-Schr\"odinger equation via uncertainty principles

Hui Xu, Xingyu Zhao, Zhiwen Duan

arxiv:2605.18021 v1 · 2026-05-18 · 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{OBSVQBID36W2OZYSKV73NL6ZW2}

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	2026-05-20T00:05:11.675292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7065580503dfada76712557fb6afd9b692eb27317b19f2e9743ea09df6cda5cd

Aliases

arxiv: 2605.18021 · arxiv_version: 2605.18021v1 · doi: 10.48550/arxiv.2605.18021 · pith_short_12: OBSVQBID36W2 · pith_short_16: OBSVQBID36W2OZYS · pith_short_8: OBSVQBID

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/OBSVQBID36W2OZYSKV73NL6ZW2 \
  | 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: 7065580503dfada76712557fb6afd9b692eb27317b19f2e9743ea09df6cda5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "390c1715eacb4431103bd1ea3486caa8ab60761b6c54bee4118d9148841b621e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-18T08:12:43Z",
    "title_canon_sha256": "8917484c99ac7ed22d2240e2f40c1df2a637e420d7b7c009f062e24e718cc0f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18021",
    "kind": "arxiv",
    "version": 1
  }
}