Pith Number

pith:PQ5YPIUH

pith:2026:PQ5YPIUHRVXBGEP6YOV7H74NED

not attested not anchored not stored refs pending

An Inverse Obstacle Problem for the Fractional Schr\"odinger Equation

Gunter Uhlmann, Philipp Zimmermann

arxiv:2607.22079 v1 · 2026-07-24 · 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{PQ5YPIUHRVXBGEP6YOV7H74NED}

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	2026-07-27T01:20:46.957077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3b87a2878d6e1311fec3abf3ff8d20e8bb46925efab7a6640c136a15c7077f

Aliases

arxiv: 2607.22079 · arxiv_version: 2607.22079v1 · doi: 10.48550/arxiv.2607.22079 · pith_short_12: PQ5YPIUHRVXB · pith_short_16: PQ5YPIUHRVXBGEP6 · pith_short_8: PQ5YPIUH

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/PQ5YPIUHRVXBGEP6YOV7H74NED \
  | 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: 7c3b87a2878d6e1311fec3abf3ff8d20e8bb46925efab7a6640c136a15c7077f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea506dfac907ab74a2f9df6622ee2b7ec4f7c57e9e6b4cb8838a5db6b2df42e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-24T08:23:51Z",
    "title_canon_sha256": "9a9318fa58818f4f13c5b5b45683d4261aa449a5c842b9bf9aa383f55db6bef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22079",
    "kind": "arxiv",
    "version": 1
  }
}