Pith Number

pith:UWB7KXP5

pith:2019:UWB7KXP5IR4NHXWONE5PJUOQXQ

not attested not anchored not stored refs pending

Szeg\H{o}'s Theorem for Canonical Systems: the Arov Gauge and a Sum Rule

Benjamin Eichinger (Rice University), David Damanik (Rice University), Peter Yuditskii (Johannes Kepler Universit\"at Linz)

arxiv:1907.03267 v1 · 2019-07-07 · math.SP · math-ph · math.CA · 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{UWB7KXP5IR4NHXWONE5PJUOQXQ}

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	2026-05-17T23:41:16.717525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a583f55dfd4478d3dece693af4d1d0bc2b1faab88f5754bf95689f8181ecd8ad

Aliases

arxiv: 1907.03267 · arxiv_version: 1907.03267v1 · doi: 10.48550/arxiv.1907.03267 · pith_short_12: UWB7KXP5IR4N · pith_short_16: UWB7KXP5IR4NHXWO · pith_short_8: UWB7KXP5

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/UWB7KXP5IR4NHXWONE5PJUOQXQ \
  | 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: a583f55dfd4478d3dece693af4d1d0bc2b1faab88f5754bf95689f8181ecd8ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b12d900990620e2a78da5e71c8aa8440bbda4f809a02da1ee69a2bc830adeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-07-07T10:51:45Z",
    "title_canon_sha256": "f4fffe9e36114e1fe89964119ac3dec24e412241a2422c653bb30684932a00ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03267",
    "kind": "arxiv",
    "version": 1
  }
}