Pith Number

pith:YOQZPUO6

pith:2015:YOQZPUO6YJ3BFL63IUYOQRQTXW

not attested not anchored not stored refs pending

Analysis of the essential spectrum of singular matrix differential operators

Christiane Tretter, Orif O. Ibrogimov, Petr Siegl

arxiv:1512.00759 v1 · 2015-12-02 · math.SP · math-ph · math.FA · 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{YOQZPUO6YJ3BFL63IUYOQRQTXW}

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	2026-05-18T01:24:06.332880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a197d1dec27612afdb4530e84613bdbdc722da62144e78f567a8b0ec5daf37

Aliases

arxiv: 1512.00759 · arxiv_version: 1512.00759v1 · doi: 10.48550/arxiv.1512.00759 · pith_short_12: YOQZPUO6YJ3B · pith_short_16: YOQZPUO6YJ3BFL63 · pith_short_8: YOQZPUO6

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/YOQZPUO6YJ3BFL63IUYOQRQTXW \
  | 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: c3a197d1dec27612afdb4530e84613bdbdc722da62144e78f567a8b0ec5daf37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1431e999270addd646e8f295b048e0e7e0bc93d5b1b793210dcca0da62e19d70",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-02T16:27:02Z",
    "title_canon_sha256": "b4465abeefb02e159534a396bcd9328a8657538e7e9ad8bef8f54faf2f9117da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00759",
    "kind": "arxiv",
    "version": 1
  }
}