Pith Number

pith:ZSRQOLD4

pith:2018:ZSRQOLD4PDU3I2HBNUGSG72Y2D

not attested not anchored not stored refs pending

Spectral Properties of Limit-Periodic Operators

David Damanik (Rice University), Jake Fillman (Virginia Tech)

arxiv:1802.05794 v1 · 2018-02-15 · math.SP · math-ph · math.DS · 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{ZSRQOLD4PDU3I2HBNUGSG72Y2D}

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	2026-05-18T00:23:11.004834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca3072c7c78e9b468e16d0d237f58d0ce024a8b82296cfca9e0e79657b09f41

Aliases

arxiv: 1802.05794 · arxiv_version: 1802.05794v1 · doi: 10.48550/arxiv.1802.05794 · pith_short_12: ZSRQOLD4PDU3 · pith_short_16: ZSRQOLD4PDU3I2HB · pith_short_8: ZSRQOLD4

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/ZSRQOLD4PDU3I2HBNUGSG72Y2D \
  | 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: cca3072c7c78e9b468e16d0d237f58d0ce024a8b82296cfca9e0e79657b09f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387f6704c38cd26cff9200a10590be6ac1fe75cdbc7bc460a5d8250463c92f09",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-02-15T23:27:39Z",
    "title_canon_sha256": "aec4b3fcc44a42ff88a38ebc815c3c03510112ba5ca1c15f28ec9a1f041e410e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05794",
    "kind": "arxiv",
    "version": 1
  }
}