Pith Number

pith:M55XJSFI

pith:2025:M55XJSFIU6VDIH7YLYYIXDLO5F

not attested not anchored not stored refs pending

Dispersive estimates for fractional order Schr\"odinger operators

M. Burak Erdogan, Michael Goldberg, William Green

arxiv:2509.18002 v2 · 2025-09-22 · 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{M55XJSFIU6VDIH7YLYYIXDLO5F}

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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.

Cited by

1 paper in Pith

Dynamical Amrein-Berthier Uncertainty for Fractional Schr\"odinger Flows

Receipt and verification

First computed	2026-07-27T01:21:11.451992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677b74c8a8a7aa341ff85e308b8d6ee96bcccb2b43d6e297441daede484c024d

Aliases

arxiv: 2509.18002 · arxiv_version: 2509.18002v2 · doi: 10.48550/arxiv.2509.18002 · pith_short_12: M55XJSFIU6VD · pith_short_16: M55XJSFIU6VDIH7Y · pith_short_8: M55XJSFI

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/M55XJSFIU6VDIH7YLYYIXDLO5F \
  | 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: 677b74c8a8a7aa341ff85e308b8d6ee96bcccb2b43d6e297441daede484c024d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26e0531c9fbeb0a0b400848cb00ba4cc71ee154cd3c32a13ec53af0ed785e9f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-22T16:41:11Z",
    "title_canon_sha256": "923d3342f2e87471f233a123718325c8cae21c7c3c0c56c49ade0f60e4592e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.18002",
    "kind": "arxiv",
    "version": 2
  }
}