Pith Number

pith:5QQGOGSI

pith:2015:5QQGOGSIUI5U5JGSK4VXOIRYTD

not attested not anchored not stored refs pending

Reflection probabilities of one-dimensional Schroedinger operators and scattering theory

Annalisa Panati, Benjamin Landon, Jane Panangaden, Justine Zwicker

arxiv:1509.08525 v1 · 2015-09-28 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QQGOGSIUI5U5JGSK4VXOIRYTD}

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	2026-05-18T01:31:52.442334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec20671a48a23b4ea4d2572b77223898e217f668ce055959562e06f8b6baa85a

Aliases

arxiv: 1509.08525 · arxiv_version: 1509.08525v1 · doi: 10.48550/arxiv.1509.08525 · pith_short_12: 5QQGOGSIUI5U · pith_short_16: 5QQGOGSIUI5U5JGS · pith_short_8: 5QQGOGSI

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/5QQGOGSIUI5U5JGSK4VXOIRYTD \
  | 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: ec20671a48a23b4ea4d2572b77223898e217f668ce055959562e06f8b6baa85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a50391e76396f95770682f7c744096567d4a57fb81042ce42a2e40df23613dd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-28T22:28:12Z",
    "title_canon_sha256": "fbc5606e75b414b302fbf6a5d9404fae05afd6de42d2b3ddbe46eae0034c8aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08525",
    "kind": "arxiv",
    "version": 1
  }
}