Pith Number

pith:TIR3WTLD

pith:2019:TIR3WTLDTHQFMVVMVFUTQMJO6D

not attested not anchored not stored refs pending

Strichartz Estimates for the Schr\"odinger Equation with a Measure-Valued Potential

M. Burak Erdogan, Michael Goldberg, William R. Green

arxiv:1908.02903 v1 · 2019-08-08 · 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{TIR3WTLDTHQFMVVMVFUTQMJO6D}

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	2026-07-04T23:52:24.625190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a23bb4d6399e05656aca96938312ef0c1b2900b6b863638024a9d6cd2ff7d7f

Aliases

arxiv: 1908.02903 · arxiv_version: 1908.02903v1 · doi: 10.48550/arxiv.1908.02903 · pith_short_12: TIR3WTLDTHQF · pith_short_16: TIR3WTLDTHQFMVVM · pith_short_8: TIR3WTLD

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/TIR3WTLDTHQFMVVMVFUTQMJO6D \
  | 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: 9a23bb4d6399e05656aca96938312ef0c1b2900b6b863638024a9d6cd2ff7d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27377d021d71fc8a800e54dc541dd9a2d0f562f6972d1f3538939082d713cb6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-08T01:54:10Z",
    "title_canon_sha256": "b1b1a19ff8c1b4dfdad8a0966aca324816b5b201eb5c382de9f3cb8fdcdf8b34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02903",
    "kind": "arxiv",
    "version": 1
  }
}