Pith Number

pith:RL5XVDCS

pith:2011:RL5XVDCSYEHF5M7DVGW4R6UATS

not attested not anchored not stored refs pending

Dispersive Estimates for Schr\"odinger Operators with Measure-Valued Potentials in R^3

Michael Goldberg

arxiv:1108.0948 v1 · 2011-08-03 · 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{RL5XVDCSYEHF5M7DVGW4R6UATS}

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	2026-05-18T01:07:21.440477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8afb7a8c52c10e5eb3e3a9adc8fa809c917cac1e680f86927deb5e5c6e0f0e94

Aliases

arxiv: 1108.0948 · arxiv_version: 1108.0948v1 · doi: 10.48550/arxiv.1108.0948 · pith_short_12: RL5XVDCSYEHF · pith_short_16: RL5XVDCSYEHF5M7D · pith_short_8: RL5XVDCS

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/RL5XVDCSYEHF5M7DVGW4R6UATS \
  | 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: 8afb7a8c52c10e5eb3e3a9adc8fa809c917cac1e680f86927deb5e5c6e0f0e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b646555394c4173140d26cfbf397053b45d5b2157f5ab6cc89331d5c5c339297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-03T20:54:37Z",
    "title_canon_sha256": "efbe9e922ba852f0a4c62be0d234e040e83da39f1d1d178a5687996339701b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0948",
    "kind": "arxiv",
    "version": 1
  }
}