Pith Number

pith:RYDMZ7HA

pith:2016:RYDMZ7HARDKULRC5WDMOCV66RJ

not attested not anchored not stored refs pending

Spectral and scattering theory for Schr\"odinger operators on perturbed topological crystals

Daniel Parra, Serge Richard

arxiv:1607.03573 v1 · 2016-07-13 · math.SP · 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{RYDMZ7HARDKULRC5WDMOCV66RJ}

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	2026-05-17T23:56:34.656628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e06ccfce088d545c45db0d8e157de8a500813c10fbd2de8faa5164f87b8f030

Aliases

arxiv: 1607.03573 · arxiv_version: 1607.03573v1 · doi: 10.48550/arxiv.1607.03573 · pith_short_12: RYDMZ7HARDKU · pith_short_16: RYDMZ7HARDKULRC5 · pith_short_8: RYDMZ7HA

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/RYDMZ7HARDKULRC5WDMOCV66RJ \
  | 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: 8e06ccfce088d545c45db0d8e157de8a500813c10fbd2de8faa5164f87b8f030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560659a039882575f153e5bd59974a9c1693b66675acca1a96bebc76e10ba777",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-07-13T02:36:03Z",
    "title_canon_sha256": "a2cb07606bb72fef4b09ea6c1a32edac525e3dccfc01e8998af8436690bf1719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03573",
    "kind": "arxiv",
    "version": 1
  }
}